please help me, I'm stuck on the second one. ​Also for i) i got angle ABD because angles in a semicircle measures 90 degree and OAX because the angle between the tangent and a radius is 90 degrees

Please Help Me, I'm Stuck On The Second One. Also For I) I Got Angle ABD Because Angles In A Semicircle

Answers

Answer 1

Answer:

i)

DA is diameter and AX is tangent to circle

Your answer is correct

m∠ABD = 90°, m∠DAX = 90°

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

m∠DAB = 90° - 42° = 48°

DC = BC ⇒ intercepted arcs are same ⇒

∠CDB = ∠BDC

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

m∠CDB = m∠BDC = 1/2*48 = 24°

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

m∠ADC = m∠ADB  + m∠CDB = 42° + 24° = 68°m∠CBA = 180° - m∠ADC = 180° - 68° = 112°

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

m∠BAE = 180° - 112° = 68°

∠DCE

∠DCE = ∠DCB - ∠BCEm∠DCB = 180° - m∠DAB = 180° - 48° = 132°m∠BCE = 180° - m∠BAE = 180° - 68° = 112°∠DCE = 132° - 112° = 20°

Related Questions

Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,310 in 13 years?

Answers

Answer:

700

Step-by-step explanation:

Answer:

$712

Step-by-step explanation:

A x (1 + 4,8%)¹³ = 1310

=> A = 1310 : (1 + 4,8%)¹³ = 712,1551532

7m+9, for m=2.
Someone solve please

Answers

Hi the answer to your question is 7(2)+9=23

what is this trying to bring my grades up pls help

Answers

Answer:

Answer down below!

Step-by-step explanation:

The origin is the middle of the plot, which is represented by the coordinates (0,0)

So, yoy would click on the middle where it says 0.

Find the surface area of a cube with sides = 9 inches. Think about finding area of 1 face and then multiplying by 6.

Answers

Answer:

Step-by-step explanation:

The solution to which system of equations has an y-value of 0?
(A) x + 2y=-1; y = 3x + 3
(B) 3x – y=2; x + 2y=-1
y= 3x + 3; 2x + 3y=01
(D) 2x + 3y=0; x + 2y=-1

Answers

Answer:

option D I think So

Step-by-step explanation:

give me the branirst

The only system of equation (A) has a y-value of 0.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

To find the solution with a y-value of 0, we need to substitute y=0 in each equation of the system and solve for x.

(A) x + 2y = -1

x + 2(0) = -1

x = -1

y = 3x + 3

y = 3(-1) + 3

y = 0

The solution to system A has a y-value of 0.

(B) 3x - y = 2

3x - 0 = 2

x = 2/3

x + 2y = -1

(2/3) + 2y = -1

2y = -1 - (2/3)

2y = -5/3

y = -5/6

The solution to system B does not have a y-value of 0.

(C) y = 3x + 3

y = 3x + 3 implies that y cannot be 0, so this system cannot have a solution with a y-value of 0.

(D) 2x + 3y = 0

2x + 3(0) = 0

2x = 0

x = 0

x + 2y = -1

0 + 2y = -1

y = -1/2

The solution to system D does not have a y-value of 0.

Therefore, the solution to system A has a y-value of 0.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ7

Use the law of cosines to solve the triangle.
a=45,b=30,c=72

Answers

sides:
a= 45 m
b= 30 m
c= 72 m

angles:
a = 20.0183 degrees
b = 13.1919 degrees
c= 146.79 degrees

The population of a school is 800 and is decreasing at a rate
of 2% per year; 4 years

Answers

Answer:

i think the answer is 738

Find the area of the composite shape shown below:
6ft
9ft
3ft 4ft

Answers

48 is your answer...
54 would be your answer

Explanation: first you do the top section which is 6x7 and high equals 42, then the bottom section is 3x4 and that equals 12, 42+12= 54.

Are these ratios equivalent?
6 men to 7 women
12 men to 14 women ​

Answers

Answer:

Yes 6 times 2 is 12 and 7 times 2 is 14

Answer:

6:7=12:14

12:14=6:7

:-)))

Type the expression that results from the following series of steps:
Start with x, subtract 6, then divide by 7.​

Answers

the expression would be (X-6)/7

can someone help me with this and show me the steps if you don't mind

Answers

Answer:

(x+8)(x+5)

Step-by-step explanation:

Since we know x2 is equivalent to x times x we can automatically start by filling in the first two spaces with x. Then since we know that we're going to need two numbers that equal forty since it's part of the equation we can get two number that will also add up to 13x which is 8 and 5. We then get (x+8)(x+5). (Sorry lol this question is kind hard to explain over the computer.)

3x+9=33 pls help me with this problem it will be helpful

Answers

Answer:

8

Step by step:

3x + 9 = 33
-9 -9

3x = 24
÷3 ÷3

x = 8

Answer:

8

Step-by-step explanation:

First we subtract 33 by 9 which equals 24. Then we divide 24 by 3 which equals 8.

To check your answer, multiply 8 by 3 then add 9.

A taxi cab cost $1.75 for the 1st mile and .75 for each additional mile you have $20 to spend on your ride was in a quality could be certified and how many miles you can travel if N is a number of additional miles

Answers

Answer: 0.75n+1.75 ≤ 20 because you have to have the number of additional miles with the cost of $0.75 per mile but then you have to add the original first mile with a cost of $1.75. It has to be less than or equal to because you only have $20 to spend you can't spend more than that you have to spend that amount or less.

Step-by-step explanation:

Answer:

25 miles or 25.333

Step-by-step explanation:

Write an equation for the amount of money, , that will be collected if boxes of chocolate bars are sold. Which is the independent variable and which is the dependent variable

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Let amount of money = C

If the number of chocolate bars sold = x

Let cost per chocolate bar = p, since cost per bar isn't stated

Amount of money that will be collected :

C(x) = P * x

The dependent variable is the Amount of money that will be collected as the amount of money depends on the number of chockate bars sold

The number of chocolate bars sold us the independent variable as it dictates the amout of money to be collected, hence it is the predictor variable.

Is this correct? Please answer​

Answers

Answer:

A Right triangle is 90 Degrees so that leaves 10 as the area of the side of the right line and the other side would be a Acute triangle that side would be 50 Degrees so that leaves 15 as the perimeter ok then you multiply 15 by 3  which is 45 and multiply 10 times 3 to get 30, 45 plus 30 is 75 so yes you are correct!!! :))))))))))

Answer:

Yes its right

Step-by-step explanation:

please help!! it’s about percents and finding the totals cost!!!help fast

Answers

Answer:658.73

Step-by-step explanation:

6.25 percent of 619.98 is $34.74875

we round $34.74875 to $34.75

then we add

619.98 + 34.75 = 658.73

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!

A. 92,392

B. 90,439

C. 91,142

D. 91,984

Answers

It would be C. 91,142

The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?

Answers

Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

In the following diagram, m AC=97º and m CD= 112°. Find the measure of angle
x.

Answers

Answer:

In the diagram, assume that segments are tangents if they appear to be. Find the ... Find the length of an arc with measure 62° in a circle with radius 2 m. 21. I hope this helps u  

Step-by-step explanation:

Will's suitcase must weigh less than 50 pounds. Choose the inequality that best represents the situation. a: x ≤ 50 b: a<50

Answers

Answer:

A

Step-by-step explanation:

Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?


Will mark b if correct:)

Answers

123. angle 1 would be the same as angle 5, seeing as the lines are parallel. 5&1 are both on top on lines A & B AND on the same side of transversal

Tristan paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both people paid the same price per pound, what was the price per pound for the cashews?

A. $2.00

B. $3.80

C. $4.50

D. $8.75

Answers

Answer:

C. $4.50

Step-by-step explanation:

hello, there.

1) 2p + 3c = 17.50

2) 5p + 2c = 19.00

:

Solve equation 1 for p

:

p = (17.50 - 3c) / 2

:

Substitute for p in second equation

:

(5(17.50 - 3c) / 2) + 2c = 19.00

:

Multiply both sides of = by 2

:

(5(17.50 - 3c)) + 4c = 38.00

:

87.50 - 15c + 4c = 38.00

:

-11c = -49.50

:

c = 4.50

:

---------

Cashews are $4.50 per pound

--------------

:have a great day.

Answer:

C

Step-by-step explanation:

Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.

Two pounds of peanuts and three pounds of cashews cost $17.50. So:

[tex]2p+3c=17.5[/tex]

Five pounds of peanuts and two pounds of cashews cost $19.00. So:

[tex]5p+2c=19[/tex]

This yields a system of equations.

We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:

[tex]-5(2p+3c)=-5(17.5)[/tex]

Multiply:

[tex]-10p-15c=-87.5[/tex]

And:

[tex]2(5p+2c)=2(19)[/tex]

Multiply:

[tex]10p+4c=38[/tex]

Now, we can add the two equations together:

[tex](-10p-15c)+(10p+4c)=(-87.5+38)[/tex]

Combine like terms:

[tex]-11c=-49.5[/tex]

Therefore:

[tex]c=4.5[/tex]

So, a pound of cashews costs $4.50.

Our answer is C.

Notes:

To solve for the cost for peanuts, we can use the first (or second equation) again:

[tex]2p+3c=17.5[/tex]

Substitute:

[tex]2p+3(4.5)=17.5[/tex]

Solve for p:

[tex]2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2[/tex]

So, a pound of peanutes cost $2.00.

Find the value of x in the figure shown.

Answers

that’s 12 since we calculate the sides

What is the value -5(-2)

Answers

Answer: 10

Step-by-step explanation: When multiplying integers,

if the signs are the same, the product is positive.

So a negative times a negative always equals a positive.

Therefore, -5(-2) is 10.

Answer:

10

Step-by-step explanation:

-5 x -2 = 10

What is the value of tangent theta in the unit circle below? One-half StartFraction StartRoot 3 EndRoot Over 3 EndFraction StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot

Answers

Answer:

[tex]\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

A unit circle is defined as a circle of unit radius (that is the radius of the circle is equal to 1). In trigonometry, the unit circle is a circle with a radius of 1, while centered at the origin (0, 0) in the Cartesian coordinate.

In the unit circle below, we can see that the line touches the unit circle at point [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2})[/tex], therefore to find the tangent of theta, we use the formula:

[tex]tan\theta = \frac{y}{x} \\\\tan\theta=\frac{\frac{1}{2} }{\frac{\sqrt{3} }{2} } =\frac{1}{2}*\frac{2}{\sqrt{3} } \\\\tan\theta=\frac{1}{\sqrt{3} }[/tex]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

I think thats what the answer above meant.

What is the value of y in 6y+4

Answers

Answer:

1.5y

Step-by-step

Which expression is equivalent to 4m + 3?
A. 2(2m + 3)
B. -2(-2m + 3)
C. (-2)m - (-1)3 + (-2)2m
D. (-2)m - (-3)1 + (2)3m

Answers

Answer:

D)

Step-by-step explanation:

4m+3

y = x^2+8x-7

Use the formula x=-b/2a

Answers

b = 8

a = 1

using the formula given

x = -8/2

x = -4

A cone has a volume of 715.92 cubic feet and a radius of 6 feet. What is its height?

Answers

Answer:

The answer is  4295.52

Step-by-step explanation:

AYO CAN YOU BE MY BAKA (HELP ME WITH MATH)

Answers

Answer:

Addition

Step-by-step explanation:

1) Add 275 to both sides.

[tex]800 + 275 = p[/tex]

2) Simplify 800 + 275 to 1075.

[tex]1075 = p[/tex]

3) Switch sides.

[tex]p = 1075[/tex]

We need to add in order to solve the equation.

so therefor, the answer is option G.

Answer:

Addition

Step-by-step explanation:

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