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zalisa [80]
4 years ago
11

Given the figure below, find the values of x and z

Mathematics
1 answer:
Karolina [17]4 years ago
7 0

Step-by-step explanation:

z = 86° (Because they are opposite angles)

z + 8x - 66° = 180° (They form a linear pair)

=> 86° + 8x - 66° = 180°

=> 8x - 66° = (180 - 86)°

=> 8x - 66 = 94°

=> 8x = 94° - 66°

=> 8x = 28

=> x = 28/8

=> x = 3.5°

If my answer helped, please mark me as the brainliest!!!

Thank You!!

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5. What is angel 8 use picture above
Vikki [24]

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

6 0
4 years ago
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How do I apply the distributive property to create an equivalent expression for 4(6 + 6y)
tia_tia [17]

Answer:

24y+24

Step-by-step explanation:

You multiply the number on the outside of the parenthesis with both the numbers on the inside of the parenthesis. The + stays the same.

4*6y=24y

4*6=24

Hope this helps!

4 0
3 years ago
A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student's w
iragen [17]

Answer:

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

Step-by-step explanation:

The student was wrong in his evaluation because the correct result should be 1 1/3 (one and one-third) and not 16 and one-third

The expression '1/3 more than the product of four and a number' means

(4g + 1/3)

Evaluating the expression when g = 1/4

You will have

4×1/4 + 1/3

= 1/1 + 1/3

Find the LCM of 1 and 3 and add

= (3+1)/3

=4/3

= 1 1/3

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

6 0
3 years ago
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Chung is practicing archery so far he has fired 5 arrows at a target and hit the center 2 times at this rate if he fires 100 arr
bagirrra123 [75]
40 because if you multiply 2 by 100 it is 200 then divide that by 5 and you get 40
4 0
3 years ago
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What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A
Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

L = 2\pi r \left(\dfrac{n}{360}\right)

here,

n = degrees

r = radius

using this we'll solve all the parts:

r = 10, n = 20:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (10) \left(\dfrac{20}{360}\right)

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

L = \pi (10) \left(\dfrac{20}{180}\right)

10 and 180 can be resolved: 180 divided by 10 = 18

L = \pi \left(\dfrac{20}{18}\right)

finally, both 20 and 18 are multiples of 2 and can be resolved:

L = \pi \left(\dfrac{10}{9}\right)

L = \dfrac{10\pi}{9} Option (E)

r=3, n=6:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (3) \left(\dfrac{6}{360}\right)

L = \dfrac{\pi}{10} Option (D)

r=4 n=7

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (4) \left(\dfrac{7}{360}\right)

L = \dfrac{7\pi}{45} Option (C)

r=2 n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (2) \left(\dfrac{x}{360}\right)

L = \dfrac{x\pi}{90} Option (D)

r=y n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (y) \left(\dfrac{x}{360}\right)

L = \dfrac{xy\pi}{180} Option (E)

6 0
4 years ago
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