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Determine the value of x.

4x + 10

7x+5

A. x=10

B. x= 15

C. x= -0.6

D. x=58.3

Determine the value of x. 4x + 10 7x+5 A. x=10 B. x= 15 C. x= -0.6 D. x=58.3-example-1
User Markmuetz
by
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3 votes

Answer:

B. x = 15

Explanation:

the outer angle is half of the difference between the outer arc angle and the inner arc angle.

4x + 10 = ½((360 - (7x + 5)) - (7x + 5))

as the outer arc angle is 360 - (7x + 5).

and the inner arc angle is (7x + 5)

so, we have

4x + 10 = ½(360 - 7x - 5 - 7x - 5) = ½(360 - 14x - 10) =

= ½(350 - 14x) = 175 - 7x

11x = 165

x = 165/11 = 15

User Pajevic
by
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