Question

Points R, S, T, and U lie on circle O.

R
S
o
U
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In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?

Answer 1

136

Explanation:

12x + 4 = 11x + 15 {Subtract 11x from both sides.}

(12x - 11x) + 4 = 15

x + 4 = 15 {Subtract 4 from both sides.}

x = 15 - 4

x = 11

Now, SUBSTITUTE 11 for x in 11x + 15.

11(11) + 15

121 + 15

136 units

The length of line TU is 136 units.