pls help!!will give 18 points!!!PLS HELP

Pls Help!!will Give 18 Points!!!PLS HELP
Pls Help!!will Give 18 Points!!!PLS HELP

Answers

Answer 1

Answer:

a = 108°

b = 72°

c = 48°

d = 48°

Step-by-step explanation:

• ∠a and the 72° angle are on a straight line. Therefore they add up to 180°:

∠a + 72° = 180°

⇒ ∠a = 180 - 72°

⇒ ∠a = 108°

• ∠b and the 72° angle are corresponding angles (the angles make an F-shape). Therefore, they are equal:

∠b = 72°

• ∠d and the 48° angle are alternate angles (the angles make a z-shape). Therefore they are equal:

∠d = 48°

• ∠c and ∠d are vertically opposite angles. Therefore, they are equal:

∠c = ∠d

⇒ ∠c = 48°


Related Questions

The graph of y = f(x) is graphed below. What is the end behavior of f(x)?

Answers

Answer:

The third option, as x approaches infinity y approaches infinity and as x approaches negative infinity y approaches negative infinity.

Step-by-step explanation:

Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words long, and so far he has written 786 words. If he only has 6 more days to write his paper and wants to write the same number of words each day, then how many words must he write per day to finish the paper?

Answers

Jimmy has to write 369 words per day for the next 6 days to finish the paper.

The total number of words in the paper has to be 3000

Jimmy has already written = 786 words.

3000-786 = 2214

So, Jimmy still has to write 2214 words.

He has 6 days to write the paper and he wants to write the same number of words per day.

With this in mind to find out how many words he has to write per day we can divide 2214 by 6.

2214/6 = 369 words

So, Jimmy has to write 369 words per day for the next 6 days to finish the paper.

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What are the domain and range of the function f(x) = 2x^3/4 respectively?​

Answers

Answer:

Domain: [0,∞), {x|x ≥ 0}

Range: [0,∞), {y|y ≥ 0}

Step-by-step explanation:

1. Find where the FUNCTION is DEFINED.

A function is a set of ordered pairs where each first element is paired with one, and only one, second element. No element in either pair is without a partner.

2. Find the DOMAIN: The set of all x-values that a function passes through. Also, it is the left coordinate in a coordinate pair.

3. The RANGE: the set of all y-values that a function passes through. Also, it is the right coordinate in a coordinate pair.

Determine whether the series converges or diverges...

Answers

Answer:

Convergence

Step-by-step explanation:

Use the Squeeze Theorem,

I know that

[tex] \frac{k \sin {}^{2} (k) }{1 + k {}^{3} } [/tex]

lies between 0 and 1 so

[tex]0 \leqslant \frac{k \sin {}^{2} (k) }{1 + {k}^{3} } \leqslant \frac{k}{1 + k {}^{3} } [/tex]

The final series behaves like

[tex] \frac{1}{k {}^{2} } [/tex]

Using the p series, since p is 2, the series

[tex] \frac{k}{1 + k {}^{3} } \: converges[/tex]

Since the 0 and k/1+k^3 converges, the series converge.

Convergence

Find the measure of the exterior angle.

Answers

The measure of the exterior angle is 139 degrees.

What is the measure of the exterior angle?

The sum of the interior angle of a triangle is 180 degree.

The sum of angles on a straight line is 180 degrees.

From the diagram;

Angle 1 = 64 degreesAngle 2 = 75 degreesAngle 3 = ?

First, we determine the third interior angle of the triangle.

Angle 1 + Angle 2 + Angle 3 = 180

64 + 75 + Angle 3 = 180

139 + Angle 3 = 180

Angle 3 = 180 - 139

Angle 3 = 41 degrees

Now, angle 3 and the exterior angle forms a angle on a straight line.

Hence;

Angle 3 + Exterior angle = 180

41 +  Exterior angle = 180

Exterior angle = 180 - 41

Exterior angle = 139 degrees.

Therefore, 139 degrees is the exterior angle.

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I don’t know who it is please helppp

Answers

Triangle C forms a right angle triangle.

Given:

Triangle A : 8 cm , 13 cm , 5 cm

Triangle B : 14 cm , 30 cm , 17 cm

Triangle C : 26 cm , 10 cm , 24 cm

To form a right angled triangle the longest side square is equal to the sum of squares of other sides.

In triangle A :

[tex]13^{2} = 8^{2} +5^{2}[/tex]

169 = 64 + 25

169 ≠ 89.

This is not a right angle triangle.

In triangle B:

[tex]30^{2} =17^{2} +14^{2}[/tex]

900 =  289 + 196

900 ≠ 485

This is not a right angle triangle.

In triangle C:

[tex]26^{2} = 10^{2} +24^{2}[/tex]

676 = 100 + 576

676 = 676

so it is a right angle triangle.

Therefore Triangle C forms a right angle triangle.

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(8.4x10^11)/(5.25x10^2)(8.0x10^3) express in scientific notation

Answers

The following equation expressed in scientific notation would be as follows:

SCIENTIFIC NOTATION FORM:

[tex]1.28*10^1^3[/tex]

Hope this helps!

a dish contains 2 yellow triangles, 3 yellow squares, and 1 green square two shapes are drawn in a sequence with replacement. what is the probability of drawing a green triangle on a second draw given the first draw was a yellow shape?​

Answers

Answer: I don't know

Step-by-step explanation:

I have no idea

Describe the end behavior of each function using the leading coefficient and degree, and state
the domain and range.
1. f(x) = 3x^4
2.f(x) = -2x^3
3.f(x) = -1/2x^5
4.f(x)=3/4x^6

Answers

Answer:

1. y ⇒ ∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞; Domain:  (-∞, ∞); Range:  [0, ∞)

2. y ⇒ -∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞; Domain:  (-∞, ∞); Range:  (-∞, ∞)

3. y ⇒ -∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞; Domain:  (-∞, ∞); Range:  (-∞, ∞)

4. y ⇒ ∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞; Domain:  (-∞, ∞); Range:  [0, ∞)

Step-by-step explanation:

Rule for end behavior of polynomials:

(a) Positive leading coefficient, even degree:  y ⇒ ∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞

(b) Negative leading coefficient, even degree: y ⇒ -∞ as x ⇒ ∞ AND y ⇒ -∞ as x ⇒ -∞  

(c) Positive leading coefficient, odd degree:  y ⇒ ∞ as x ⇒ ∞ AND y ⇒ -∞ as x ⇒ -∞

(d) Negative leading coefficient, odd degree:  y ⇒ -∞ as x ⇒ ∞ AND y ⇒ ∞ as x ⇒ -∞

Domain and range for a polynomial function with an odd degree will always be all real numbers, whether or not there's a constant or not.

Domain will always be all real numbers for a polynomial function with an even, whether or not there's a constant.

For a polynomial function with an even degree, the range will extend from the y-coordinate of the vertex to ∞, if the leading coefficient is positive

For a polynomial function with an even degree, the range will extend from -∞ to the y-coordinate of the vertex if the leading coefficient is negative.

The Student Council is having an election for its executive board, which consists of 3 positions—president, vice president, and secretary. If there are 11 members on the Student Council, how many different possibilities are there for selecting an executive board?


165
1,331
39,916,800
990

Answers

The different possibilities available for selecting an executive board in Student Council in election is 990 ways

How to find the number of ways of choosing the three offices

In permutation, order matters hence in choosing or making selection specific order should be followed. an instance here is arranging the 3 letters word from ABC. ₃P₃ = 6

ABCACBBACCABBCACBA

The problem is a permutation problem trying to select 3 from 11 where order matters. The order include choosing the president the ramainig position is left 2 for 10. and so on.

This is shown in permutation as follows

₁₁P₃  = 11! / (11 - 3)!

= 11! / 8!

= 990 ways

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Kye's current credit card balance is $3,109.87 with a minimum payment of $159.00. Over the next month he spends $532.42. If the APR is 27.99% (billed monthly), what will Kye's new balance be, with interest? ​

Answers

Therefore , the solution of the given problem of interest comes out to be $4,088.14 is the new balance.

What exactly does interest mean?

Divide the number by the expense of borrowing, the remaining time, and other factors to get the simple interest rate. In marketing, the straightforward return plan is principal interest payments plus hours. This technique is the simplest way to figure out interest. The most common way to determine income is as a percentage of the principal sum.

Here,

We must first figure out the interest on the present balance.

The interest rate is 27.99%/12, or 0.0233, per month.

As a result, the current balance's interest rate is:

=> 3,109.87 x 0.0233 = $72.43

When this interest is added to the outstanding amount, Kye's new balance is as follows:

=>  3,109.87 + 72.43 + 532.42 = $3,714.72

The minimum payment for the new amount must now be determined:

=>  3,714.72 x 0.02 = $74.29

Kye's minimum payment for the following month will be $159.00 because the minimum payment is the higher of $74.29 or that amount.

Kye's new balance with interest as a result of making the required minimum contribution and spending $532.42 is as follows:

=>  3,714.72 - 159.00 + 532.42 = $4,088.14.

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Let P be the set of integers that are multiples of 3 between 1 and 10 and Q be the set of positive integers that are multiples of 4 and are less than 15. Which of the following list of elements does not belong to the union of P and Q?

A. 5

B. 3

C. 6

D. 4

Answers

The union of the sets P and Q does not have the integer 5 since it is neither a multiple of 3 or a multiple of 4.

P is the set of integers between 1 and 10 and multiple of 3.

∴P = {3,6,9}

Q is the set of positive integers less than 15 and multiple of 4.

∴Q = {4,8,12}

Now the union of the sets P and Q is given by :

P∪Q = {3,4,6,8,9,12}

Now the union of the sets does not contain the integer 5.

Any collection of items, including a set of raw materials, the seven days of the week, several car types, etc., can be categorized as a set.

Any set component counts as an element of the set. Curly brackets are used to write a set. A very basic set would resemble something like this:

Q = {4,8,12}.

Therefore the integer 5 does not belong to the union of P and Q .

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Joan has a vegetable garden in her backyard that measures 8 feet
7 feet. Which expression would not calculate the garden's perimeter

A. 8 + 7/3 + 8 = + 7/3/
B. 27 +28
C. 2 (8² • 7 - - )
D. 2 (8 + 7 )

Answers

The expression will be i.e., 2(8 + 7).

The correct option is (D)

Given,

In the question:

Joan has a vegetable garden in her backyard that measures 8 feet 7 feet.

To find the which expression would not calculate the garden's perimeter?

Now, According to the question;

Based on the given conditions:

Formulate:

Measurement of garden is :

Length and breadth is 7 ft. and 8 ft.

Calculate:

2 x (7 + 8)

= 30

Hence, The expression will be i.e., 2(8 + 7).

The correct option is (D)

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what is the same value as 8.76

Answers

Answer:

B, C

Step-by-step explanation:

A is incorrect, it should be seventy-six hundredths.

D is incorrect, the place value for the third term is wrong - it should be 0.06.

Select the postulate that is illustrated for the real numbers. 3 + 2 = 2 + 3

Answers

Answer: Symmetry Property of Equality

How do i solve this equation -3 ≥ 1/2 + 11

Answers

Answer:

-3≥11.5

Step-by-step explanation:

-3≥1/2+11

-3≥11.5

What is the equation for the line that is perpendicular to y=−1/2x+5 and passes through the point (0, 7)?

Answers

The equation of line passes through the point (0, 7) will be;

⇒ y  = 1/2x + 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (0, 7).

And, The perpendicular line is,

⇒ y = -1/2x + 5

Now,

Since, The equation of line passes through the point (0, 7).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular lines is - 1.

Hence, Slope of the perpendicular line is,

y = -1/2x + 5

m₁ = dy/dx = - 1/2

m₁ = - 1/2

So, The slope of the line,

m₂ = - (- 1/2)

    = 1 / 2

Thus, The equation of line with slope 1/2 is,

⇒ y - 7 = 1/2 (x - 0)

⇒ y - 7 = 1/2 x

⇒ y  = 1/2x + 7

Therefore, The equation of line passes through the point (0, 7) will be;

⇒ y  = 1/2x + 7

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Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?

A. y=-2x+30
B. y=2x+30
C. y=-2x-30
D. y=2x-30

Answers

The linear equation that represents the hours Yuson has left after x days is (A) y = -2x + 30

Given in question,

Hours she should complete = 30 hours

Hours she complete each day = 2 hours

Hours completed in x days = 2x

Hours left after x days = 30 -2x

Hence, the linear equation that represents the hours Yuson has left after x days is y = -2x + 30.

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Write y=-|x-3|+2 as a piecewise function.

Answers

The equation y = -|x - 3| + 2 written as a piecewise function is;

f(x) = {y = x - 1, if x < -3

        {y = -x + 1, if x ≥ -3

How to define piecewise functions?

A function can be written as piecewise function if it changes its behavior ( increasing or decreasing ) about a point.

The function f(x) = y = |x| changes its behavior at |x| = 0 i.e , x = 0 .

y = | x | = x , if x < 0

= - x , if x > 0

| x | = a => x = ± a

• | x | ≥ a ( a ≥ 0 ) => x € ( -∞ , -a ] U [ a , ∞ )

• | x | ≤ a ( a ≥ 0 ) => x € [ -a , a ]

The given function is : y = -|x - 3| + 2

The function will change its behavior when; -| x - 3 | = 0

-x + 3 = 0

x = -3

If x < -3 , then ;

y =  -(-(x - 3)) + 2

y = x -3 + 2

y = x - 1

If x ≥ -3, then ;

y = -(x - 3) + 2

y = -x + 3 + 2

y = -x + 1

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please help
The equation the quantity x plus 56 end quantity over 3 equals 5 times x models the workload of a class project, where x is the number of hours each student must contribute. How many hours does each student work on the project?

10 hours
9 hours
7 hours
4 hours

Answers

Each student should work for 7 hours on the project.

Given, the equation the quantity x plus 56 end quantity over 3 equals 5 times x models the workload of a class project,

where x is the number of hours each student must contribute.

Now, according to question,

56 - 3x = 5x

56 = 5x + 3x

8x = 56

x = 7

So, x = 7 hours

Hence, each student should work for 7 hours on the project.

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Answer:

4 hours

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 14/3

Decimal Form:

x = 4.6

Mixed Number Form:

x = 4 2/3

Therefore, 4 hours is how much the students work on the project.

4/3 pi (2)^3 + 1/3 (2)(4)

Answers

The answer to the question is 6.06197211929 you’re welcome

This is a scale drawing of an apartment. The actual apartment has a perimeter of 160 ft. Draw another scale drawing of the apartment using the scale 20 ft to 1 unit from the apartment to the drawing Explain your reasoning
pls help someone ​

Answers

According to the scale factor, When the scale is changed to 20 feet to 1 unit, then the drawing would be exactly the same shape, here only each side would have half the original drawing units.

Scale factor:

The ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller) is known as scale factor.

Given,

This is a scale drawing of an apartment. The actual apartment has a perimeter of 160 ft.

Here we need to find the reason for the scale drawing of the apartment using the scale 20 feet to 1 unit from the apartment

Here we know that the actual apartment has a perimeter of 160 ft.

And we have to draw another scale drawing of the apartment using the scale 20 feet to 1 unit from the apartment to the drawing.

So, as per the given details, the perimeter lies along the edges of squares and we count 16 sides of squares as we work around the perimeter, this means that each square is calculated as,

=> 160 / 16 = 10 feet on a side.

Therefore, 10 feet in real life plots to 1 unit on the drawing

Therefore, if we change the scale to 20 feet to  1 unit , then the drawing would be exactly the same shape, only each side would have half the original drawing units.

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Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price

Answers

Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

please help!! i do not understand

Answers

Answer:

Step-by-step explanation:

Hi, Julia,  they are trying to ask about error, or the confidence that there is not an error. It's kinda like saying,  we're 100% sure the answer is correct, mostly :DDDD   which really lowers your confidence about the 100% correct statement.   Anyway,  sooo then they give the way to show deviation,  from something.  if you've had Calculus one,  this is the same thing as the Delta , Epsilon thing, about a small distance away from the target is still with in a certain range.   I feel like if they had written the inequality like this...

( p' - E) < p < (p'+E)   it would be clearer about the inequality.  E is just a tiny distance away in the positive and negative direction.  E plays the role of epsilon.  the numbers they give are the range of the confidence. I don't think they ask a very clear question.  

0.056<p<0.112

p is kinda like our "best guess"  answer, and we're giving it this range that it's probably within,   for a certain level of confidence.   You can see, that as the confidence goes down,  that range can become bigger.  

Students in a cooking class made 4 1 2 quarts of soup. They served 4 5 of the soup to friends. Each serving is 3 5 quart. Hector incorrectly says that there were 3 3 5 servings of soup. What is the correct number of​ servings? What did Hector do​ wrong?

Answers

The correct number of servings would be = 12/25

What is a cooking class?

A cooking class is defined as the class that is made up of students that are being thought how to prepare and serve different types of food.

The total amount of quarts of food made by the students = 4½.

The number of servings to friends = ⅘

The quantity of quarts in each serving = ⅗ quarts

Total number of quarts served = ⅘ × ⅗= 12/25

The correct number of servings = 12/25

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the ratio of aspens to panderosa pines in a part of a forest is 10 to 16.if there are 12 panderosas pines, how many Aspens are there?

Answers

Answer: 19.2, I think.

Step-by-step explanation: 10*1.2 = 12.

To keep the ratio balanced, you must also do 16*1.2, which is 19.2. Making the ratio 12 : 19.2

Valentina is trying to decide wether to join her schools swim team. During the summer the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week

Answers

The equation that can be used to find the length of the afternoon practice is B. 4(h + 3) = 20

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, during the summer the team practices 4 days per week and each of those days, they practice for 3 hours in the morning and practice again in the afternoon.

Let the afternoon practice be h.

Therefore, the equation will be:

4(h + 3) = 20

In conclusion, the correct option is B.

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the commission paid on goods for $4000 is $80. what is the percentage commission?

Answers

Answer:

percentage = 80÷4000=0.02

3-4x/9 = 9 Simplify your answers. Type an integer or a fraction. Use a comma to separate answers as​ needed.)

Answers

Answer:

"Multiply to remove the fraction then set it equal to 0 and solve."

Exact form

x = - 39/2

Decimal Form:

x = -19.5

Mixed Number Form:
x = - 19 1/2

Hope this helped...!

In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°. Find the length of q, to the nearest 10th of a centimeter.

Answers

The length of q, to the nearest 10th of a centimeter, is 8.8 cm.

We are given the following;

In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°.

The third angle can be calculated using the angle sum property:

angle Q + angle R + angle S = 180 degrees

125 degrees + 23 degrees + angle S = 180 degrees

angle S = 180 - (125 + 23) degrees

angle S = 180 - 148 degrees

angle S = 32 degrees

To find the length of q we shall apply the Sine rule.

q / Sin Q = s / Sin S

q / Sin 125 = 7.9 / Sin 32

by cross multiplication we will get;

q = (7.9 x Sin 125) / Sin 32

q = (7.9 x 0.61) / 0.55

q = 8.8 cm (approximately)

So,  the length of q is 8.8 cm.

Thus, the length of q, to the nearest 10th of a centimeter, is 8.8 cm.

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