Find each indicated value or measure. Assume that all submits that appear to be tangent are tangent.

Question

asked Jun 12, 2023 121k views

1 Answer

Colecmc · Answer 1 · 2023-06-18T14:27:02+0000

Remember that

The intersecting chord theorem, states that the products of the lengths of the line segments on each chord are equal

so

In this problem]

we have that

(3x+1)*(30)=42*(x+11)

solve for x

90x+30=42x+462

90x-42x=462-30

48x=432

x=9

Find out the value of SU

SU=(3x+1)+30 ----> by addition segments postulate

substitute the value of x

SU=3(9)+1+30