mistytucker32
Answered

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What is the measure of AC? Enter your answer in the box ​

What Is The Measure Of AC Enter Your Answer In The Box class=

Sagot :

Answer:

33

Step-by-step explanation:

I just took the test :)

akposevictor

Answer:

AC = 33°

Step-by-step explanation:

Given:

Arc AC = (7x - 2)°

m<ABC = (2.5x + 4)°

Required:

Measure of arc AC

Solution:

Based on the inscribed angle theorem,

m<ABC = ½(AC)

Substitute

2.5x + 4 = ½(7x - 2)

Multiply both sides by 2

2(2.5x + 4) = 7x - 2

5x + 8 = 7x - 2

Collect like terms

5x - 7x = -8 - 2

-2x = -10

Divide both sides by -2

x = -10/-2

x = 5

✔️Arc AC = (7x - 2)°

Substitute the value of x

AC = 7*5 - 2

AC = 35 - 2

AC = 33°

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