Question

PLEASE HELP 15 POINTS

Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 11, ST = 14,
TU = 11, UV = 12, and VR = 7. The figure is not drawn to scale.
A. 9
B. 1.5
C. 3
D. 9.5

Answer 1

Hello,
Please, see the attached files.
Thanks.

Answer 2

The answer is Letter B - x = 1.5.

First, we'll get the length of the "point" where the circle and the line meets to "S". Since RS = 11, we'll subtract x from 11. So its measurement is 11 - x and that is equal to "S" to the "point". After, we'll get "point" to "T". ST = 14, we'll subtract 11 - x from 14. We can get 4 + x. That measurement is equal to T to "point". The repeat the same process until you reach "point" to R, 3 - x.

To get x, equate both equations. Transpose and simplify.
x = 3 - x
2x = 3
x = 1.5

Note: refer to the attached image for the steps, they're similar except for the given values.