(PICTURE INCLUDED) What are the missing parts that correctly complete the proof?

(PICTURE INCLUDED) What Are The Missing Parts That Correctly Complete The Proof?

Answers

Answer 1

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

What is bisector?

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

what is congruent triangle?

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Answer 2

Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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Related Questions

Estimate −74.41- 55.816 by first rounding each number to the nearest whole number.





PLEASE HELP!!!

Answers

Answer:  -130.

Step-by-step explanation: To round −74.41 to the nearest whole number, we look at the tens place, which is the digit 4 in the number −74.41. Since 4 is less than 5, we round down to the previous whole number, which is −74.

To round 55.816 to the nearest whole number, we look at the tens place, which is the digit 8 in the number 55.816. Since 8 is greater than or equal to 5, we round up to the next whole number, which is 56.

Now that we have rounded both numbers to the nearest whole number, we can easily subtract them to get an approximate answer:

-74 - 56 = -130

Therefore, an approximate solution to −74.41- 55.816 is -130.

Sandpiper Company ha 25,000 hare of cumulative preferred 1% tock, $150 par and 50,000 hare of $5 par common tock. The following amount were ditributed a dividend:

20Y1 $75,000
20Y2 15,000
20Y3 112,500
Determine the dividend per hare for preferred and common tock for each year. Round all anwer to two decimal place

Answers

$22500 is interest rate of common tock for each year.

What is an explanation of the interest rate?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off.

                      Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

Amount distributed as dividends = $15000

                 Total Preferred dividend to be paid  = $37500

       But Total Preferred dividend paid/avaiable = $15000

                              dividend per share(P.S)   = $0.60    **(15000 / 25000shares)

    Since the preferred stock cumulative dividend to be paid in Next year due to less payment in current year would be = $22500  or $0.90 per share        

                                      Remaining dividend  = 0

                       Equity dividend per share  = 0

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Kendra owns a restaurant. She charges $1.50 for 2 eggs and one piece of toast and $0.90 for one egg and one piece of toast. Write a system of equations that can be used to
determine how much she charges for each egg and each piece of toast.
Enter your answer in the space below.
√x

Answers

Answer:

Each egg costs $0.60

Each piece of toast costs $0.30

Step-by-step explanation:

Let's assume that the cost of a single egg is E

And the price of a toast as T

Kendra charges $1.50 for one toast and two eggs

The equation above will be

2E + T = $1.50

And the other equation is

E + T = $0.90

For the second equation, we make E the subject of the formula

E = 0.90 - T

Now substitute for this in equation 1

2E + T = 1.50

It will now be 2(0.90 - T) + T = 1.50

1.80 - 2T + T = 1.50

T= $0.30

price of one toast is $0.30

And now, for the price of an egg, we substitute T = 0.30 in the equation

E= $0.60

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks.
Tony is starting a business selling handmade necklaces. He has decided to invest an initial amount of
$381 for advertising, and materials cost $8 for each necklace he makes. Tony can sell his creations for
$9 per necklace. Once he makes and sells a certain number of necklaces, he will break even, with
identical expenses and sales. How many necklaces would that take? What would the total expenses and
sales be then?
After selling
necklaces, Tony would have total expenses and sales of $

Answers

It will take the sales of 381 necklaces to reach break-even.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Tony invest an initial amount of $381 for advertising, and materials cost $8 for each necklace he makes. Tony can sell his creations for $9 per necklace.

Let the number of necklace be x then;

8x + 381 = 9x

Solving;

9x - 8x = 381

x = 381

Therefore, Total expenses = 8x + 381

8(381) + 381

= 3429

Thus, Total sale = 9x = 3429

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What is the domain of this table?

Answers

A is the answer

Domain is all x-values and Range is y-values.

Hope this helps!!:)

Find an equation of the line that goes through the points (-3,-11) and (8,55). Write your answer in the form
y=mx+b.
y =

Answers

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{55}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{55}-\stackrel{y1}{(-11)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-3)}}} \implies \cfrac{55 +11}{8 +3} \implies \cfrac{ 66 }{ 11 } \implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 6 ( x +3) \\\\\\ y+11=6x+18\implies {\Large \begin{array}{llll} y=6x+7 \end{array}}[/tex]

For the function: y = startroot x minus 7 endroot minus 1 the domain is : x ≥ the range is: y ≥

Answers

The function's range is in the interval (1, ∞).

What is  function's range ?

Members of a set can congregate in mathematics.

These sets' constituents are referred to as elements. The correspondence between the two groups is known as a relation when the elements of each group are paired up together.

So, between two sets, a relation is a collection of ordered pairs of elements.

The term "function" refers to a particular type of relation where each element in the first group, referred to as the domain, corresponds to exactly one element in the second group, referred to as the range.

The elements in the domain couple with exactly one element in the range, and this is how a function is a pairing between two sets.

According to our question-

[7, ] is the interval notation.

The function's range falls between the numbers (1, ).

provided function

Determine the function's domain:

You do not want to use a counterargument to the square root in this situation (you cannot find the solution of a negative square root, at least as a real number).

What you actually do is "impose" that the argument always ends in a yes or a no (you know the square root of a positive number or zero).

You then solve for x to determine the variable's ALLOWED values by setting the argument greater than or equal to zero:

Consequently, the function is in the domain.

Find the function's range:

The set of all y values in the function's range is when,

range of the function is in the interval  (1, ∞).

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Answer: first 7,1 second 7, -1

Step-by-step explanation: edge 2023

1. If a rubber ball is dropped from a height of 10 feet, the function
f(x) = 20 (0.6)* gives the height in feet of each bounce, where
x is the bounce number. What will be the height of the 5th bounce?
Round to the nearest tenth of a foot.





2. A population of pigs is expected to increase at a rate of 4% each
year. If the original population is 1000, the function f(x) = 1000 (1.04)*
gives the population in x years. What will be the population in 12 years?


Please help

Answers

If a rubber ball is dropped from a height of 10 feet, The height of the 5th bounce and the population in 12 years

2.4 feet1700 pigs

What will be the height of the 5th bounce?

Generally, For the first problem, the height of the 5th bounce can be calculated by plugging in 5 for x in the function

f(x) = 20 (0.6)^x:

f(5) = 20 (0.6)^5

= 20 (0.12)

= 2.4 feet

What will be the population in 12 years?

For the second problem, the population in 12 years can be calculated by plugging in 12 for x in the function f(x) = 1000 (1.04)^x:

f(12) = 1000 (1.04)^12

= 1000 (1.70)

= 1700 pigs

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Which of these conditions might be true if polygons abcd and klmn are similar?

Answers

In the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

What do we mean by polygons?

A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry.

A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.

A polygonal circuit's segments are referred to as its edges or sides.

So, provided that polygons ABCD and KLMN are identical, the correct condition can be "while the lengths of the corresponding sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

Therefore, in the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

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Complete question:
Which of these conditions might be true if polygons ABCD and KLMN are similar?

A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN.

B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.

C. The lengths of the corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal.

D. The lengths of the corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal.

E. The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.

the area of the triangle formed by the x and y intercepts of the parabola y=0.5(x-3)(x+k) is equal to 1.5 square units. find all possible values of k.

Answers

The possible values of k are -0.56, -3.56, -2 and -1.

Find all possible values of k ?

We have the equation of the parabola, y = 0.5 (x- 3 ) ( x+ k)

Substituting x=0, we get that i.e. y =0.5 * (-3) * k -1.5k

So, the y-intercept is (0,-1.5k).

Thus, the height of the triangle becomes |-1.5k| = 1.5k

Again, substituting y=0, 0 = 0.5 (x-3) (x+k) i.e. i.e. x0=(x-3) (x+k)=3 and x=-k

So, the x-intercepts are (3,0) and (-k,0).

Thus, the base of the triangle is 3+k if k>-3 or -3-k if k<-3.

As, area of a triangle = 1/2 * (base )* (height )

Substituting the values, we get,

1.5=1/2 *(3+k)*(1.5k)

i.e.3= 4.5 k + 1.5k ²

i.e. k = -0.56 and k = -3.56

or

1.5=1/2* (-3-k )*(1.5k)

i.e.

3 = -4.5 k - 1.5²

i.e. k = -2 and k = -1.

Thus, the possible values of k are -0.56, -3.56, -2 and -1.

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A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second.
Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x.

Answers

the equation of the function is y=-2x+10

The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the faucet filling the tank is turned on. . How long will it take for the tank to fill to 247 feet.

Answers

Answer:

2

Step-by-step explanation:

: in this context, the y-intercept represents the volume of water already in the tank

John recieved a $3,000 loan. If he payed $450 in interet in 2 year. What i the imple interet rate on the loan

Answers

Using the interest rate formula, we know that the simple interest rate on the loan is 5.75%.

What is the simple interest rate?

Simple interest is calculated by multiplying the principal by the time, interest rate, and time period.

"Simple Interest = Principal x Interest Rate x Time" is the written formula.

The simplest method for computing interest.

So, the interest rate on the loan is:

Formula to be used: I = p*r*t

Where I am the interest, p is the principal amount, r stand for rates and t stands for time.

I = p*r*t

3450 = 3000*2*r

3450/6000 = r

r = 0.575%

That is a 5.75% interest rate

Therefore, using the interest rate formula, we know that the simple interest rate on the loan is of 5.75%.

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What is the next term in the following sequence: 0, 5, 11, 18, … 24 26 23 25

Answers

Answer: i think the next number should be 26

Step-by-step explanation:

There are four people in Haydens family. Each person always eats 3/4 of a cheese pizza. How many whole pizzas should they order?

Answers

In linear equation,3 whole pizzas should they order .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

total people = 4

Each person always eats 3/4 of a cheese pizza.

   3/4 + 3/4 + 3/4 + 3/4  

= 3 + 3 + 3 + 3 /4

= 12/4

= 3

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Good points please answer

Answers

The values of given functions are Sin2x = 120/169, Cos2x = 119/169 and tan2x = 120/119.

What are trigonometric equation?

Trigonometric equation is a condition including at least one trigonometric ratios of obscure points. It is communicated as proportions of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) points. For instance, cos2 x + 5 sin x = 0 is a mathematical condition.

According to question:

We have,

Cosx = 12/13

Use sin^2(x) + Cos^2(x) = 1

sinx = [tex]\sqrt{1-cos^{2}x}[/tex] = 5/13

We know that

Sin2x = 2sinxcosx

Sin2x = 2(5/13)(12/13)

Sin2x = 120/169

Using cos2x = 2cos^2x - 1

cos2x = 2(12/13)^2 - 1

Cos2x = 119/169

Then, using tanx = sinx/cosx

tan2x = sin2x/cos2x

tan2x = [tex]\frac{\frac{120}{169} }{\frac{119}{169} }[/tex] = 120/119

Thus, required values Sin2x = 120/169, Cos2x = 119/169 and tan2x = 120/119

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Required solution is

[tex]Sin2x=-\frac{120}{169} \\\\\\Cos2x=-\frac{119}{169} \\\\\\Tan2x=\frac{120}{119}[/tex]

What is trigonometric ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

[tex]cos2x=cos^2x-sin^2x[/tex]

[tex]sin2x=2sinxcosx\\\\tan2x=(2tanx)/(1-tan2x)[/tex]

..

[tex]sinx= -\frac{12}{13}[/tex]

you are working with a (5-12-13) reference right triangle in quadrant IV where sin<0,cos>0,tan<0

[tex]sinx=-\frac{12}{13} (given)\\\\\cosx=\frac{5}{13} \\\\tanx=-\frac{12}{5}[/tex]

..

[tex]cos2x=cos^2x-sin^2x=\frac{25}{169-144} \times \frac{1}{69} =-\frac{119}{169} \\\\\\sin2x=2sinxcosx=2\times(-\frac{12}{13}) \times (\frac{5}{13} )=-\frac{120}{169} \\\\\\tan2x=\frac{2tanx}{1-tan^{2}x } \\\\\\=2(-12/5)/(1-(144/25))=(-24/5)/(-119/25)=(-24/5)(25/119)=\frac{120}{119}[/tex]

required solution is

[tex]Sin2x=-\frac{120}{169} \\\\\\Cos2x=-\frac{119}{169} \\\\\\Tan2x=\frac{120}{119}[/tex]

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The measures of two vertical angles are given by the expressions (x+16)° and (2x - 3).
Find the value of x . What is the measure of each angle?

Answers

Answer:

see explanation

Step-by-step explanation:

vertical angles are congruent , then

2x - 3 = x + 16 ( subtract x from both sides )

x - 3 = 16 ( add 3 to both sides )

x = 19

Then

x + 16 = 19 + 16 = 35°

since the angles are congruent , then

the measure of each angle is 35°

Pens are sold in a pack of 10 for 95 krona ( Swedish money ). If the price is reduced by 30%, what is new cost per pen

Answers

The new cost per pen based on the information is $6.650.

What is the cost per pen?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this case, the pens are sold in a pack of 10 for 95 krona and the price is reduced by 30%, the new price will be:

= 95 - (30% × 95).

= 95 - 28.5

= $66.50

The new cost for every pen will be:

= $66.50 / 10

= $6.650

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Anais goes to the store to get granola bars 1 pack of 100 granola bars is $8.67.
Another pack of granola bars is 50 granola bars for $5.48. Which is the better buy?

Answers

The better option is to buy the Granola bar.

What is a unit value?

When the expenditures or value of production of an item is divided by the quantity, the result is known as a unit value. The unit value of a set of homogeneous products is the total value of the purchases/sales divided by the sum of the quantities.

To determine which is the better buy, you need to compare the price per granola bar for each option. To do this, you can divide the price of each pack by the number of granola bars it contains.

For the first pack of 100 granola bars, the price per granola bar is $8.67 / 100 granola bars = $0.09 per granola bar.

For the second pack of 50 granola bars, the price per granola bar is $5.48 / 50 granola bars = $0.11 per granola bar.

Since the price per granola bar is lower for the first pack, it is the better buy. You would save money by purchasing the first pack of 100 granola bars instead of the second pack of 50 granola bars.

Hence, the better option is to buy the Granola bar.

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Evaluate the expression for x = 3, y = 3, and z = 5.
12z-3y
4z-z
Enter your answer in the box.

Answers

To answer this question, simply plug in the values that represent the variables into the respective equations.

If z=5 and y =3, then 12z - 3y can be written as:

(12 × 5) - (3 × 3)

(60) - (9)

= 51

If z = 5, then the expression 4z -z can be written as:

(4 × 5) - 5

20-5

= 15

51 and 15 are your answers

The sales tax rate in a city is ​7.11%. How much sales tax is charged on a purchase of 2 telephones at ​$ 48.67 ​each? What is the total price?​

PLS I NEED HELP

Answers

well, both telephones cost 48.67 * 2 = 97.34, now let's get the tax and add it to it

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.11\% of 97.34}}{\left( \cfrac{7.11}{100} \right)97.34} ~~ \approx ~~ 6.92~\hfill \underset{total~price}{\stackrel{97.34~~ + ~~6.92}{\approx \text{\LARGE 104.26}}}[/tex]

Determine the value of x.
Options:
03√2
03√3
3
6

Answers

Answer:

x=

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

because tan30⁰=

[tex] \frac{ \sqrt{3} }{3 } \\ \[/tex]

3/x=root 3 over3

[tex]3 \sqrt{3} [/tex]

3root 3 is the answer

On the first day of winter, an entire field of trees starts losing its flowers. The number of locusts
remaining alive in this population decreases rapidly due to the lack of flowers for them to eat.
The relationship between the elapsed time, t, in days, since the beginning of winter, and the
total number of locusts, N(t), is modeled by the following function:

N(t) 8950 (0.49)^t/2

Complete the following sentence about the daily rate of change in the locust population.
Round your answer to two decimal places.

Every day, the locust population is multiplied by a factor of ____.

Answers

Answer:

0.7

Step-by-step explanation:

Which equation is equivalent to the formula d = rt? r equals d over t r = dt t equals r over d t = dr

Answers

The equation is equivalent to the r = d/t.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

We have to find which equation is equivalent to the formula d = rt.

Formula given: d = rt

Divide both sides by t

d/t = rt / t

d/t = r

Thus, the equation is equivalent to the r = d/t.

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What is the Median? The student council sells candy bars to raise money for a dance.

Use the bar graph shown to answer the questions below.


A bar graph titled Candy Bars Sold. The vertical axis shows Number of Candy Bars with values ranging from 0 to 100. The horizontal axis shows Student Council Members with names as Dave, Jenny, John, Sarah, Alex. Points are (Dave, 90), (Jenny, 50), (John, 60), (Sarah, 70), and (Alex, 50).

What is the mode for this data set?
Mode =
50
candy bars
What is the median for this data set?
Median =
candy bars
What is the mean for this data set?
Mean =
64
candy bars

Answers

Answer:

50

Step-by-step explanation:

ezpz

Calculate the average rate of change for the T chart below

Please help calculate for the first 3 weeks, first 4 weeks and the overall average rate of change for brainliest

Answers

Answer:

Designate the remaining pair of coordinates as "set 2." Using the previous coordinates (3, 4) and (1, 2), the coordinate pair (1, 2) becomes "set 2" and will be your x2 and y2 values in the formula. Therefore, x1 is 3, y1 is 4, x2 is 1 and y2 is 2. Now that you have your values, you can plug them into the formula.

An angle meaure 48° le than the meaure of it upplementary angle. What i the meaure of each angle?

Answers

Answer:

132

Step-by-step explanation: Supplementary=180 So all you have to do is subtract 48 from 180 and should give you 132.

Hope that helps!

Let the angle be h
h-48+h=180 ( supplementary angles add upto 180)
h+h-48=180
2h-48=180
h=114

So one angle is 114 and the other is 66

rewrite the equation x^2+26x+164.5=0 in the form (x-p)^2=q​

Answers

We can add and subtract 4.5 in the left side to complete squares, then we can rewrite the quadratic equation as:

(x + 13)^2 = 4.5

How to rewrite the quadratic equation?

Here we want to rewrite the quadratic equation:

x^2 + 26x + 164.5 = 0

To rewrite it in the desired way, we need to complete squares, remember that the perfect square trinomial is:

(a + b) = a^2 + 2ab + b^2

We can rewrite the given quadratic as:

x^2 + 26x + 164.5 = 0

x^2 + 2*13*x + 164.5 = 0

The missing term to complete squares is 13^2 = 169, so we can add and subtract 4.5 on the left side of that eqation to get:

x^2 + 2*13*x + 164.5 + 4.5 - 4.5 = 0

x^2 + 2*13*x + 169 - 4.5 = 0

(x + 13)^2 = 4.5

That is the equation we wanted to get.

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Please help me with this!

Answers

Answer:

The regualar hippo massed 4.45 times as much as the pygmy hippo. (Not sure what I should round to)

Step-by-step explanation:

First, convert each of the fractions to a whole number. To do this get the whole number to the left of the fraction multiply it by the denominator and add the numerator. Once you have found both masses. Get the mass of the regular hippo and divide by the pygmy hippos mass.

Reguar Hippo Mass Calcualtion:

24*2=48

48+1=49kg

Pygmy Hippo Mass Calcualtion:

5*2=10

10+1-11kg

Final Calcuation:

49/11=4.45kg

Answer: 4.45 times as much

Let me know if this helped!

How many negative factors and positive factors do you need to guarantee a negative product with 4 factors? With 5? Is there more than one possibility for any of these? Is there a pattern?​

Answers

The number of negative and positive factors needed to guarantee a negative product with four factors with factors is 10 and there is a pastern

What are factors of a number?

You should understand that the factors of a number is a number which can divide a number without a reminder

The factors must have a constant difference

Taking 1 as a factor for instance

1+5=5

Taking the number 20 for instance

The factors of 20 are

20=1,2,4,5,10,20

-1*20=-20

.1*-20=-20

-2*10=-20 and 2*-10=20

-4*5=-20 and 4*-5=20

The order is that the subsequent terms must be gotten by a difference of 1 and a divisor of 5

Therefore the number of factors is gotten by allocating by after the other a negative sign to the numbers

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