Question

Find the measure of QS.

S9T 10 R 21 F 4x+5 Q

A. 35 B, 20 C. 27 D. 29​

Answer 1

C. 27

Explanation:

((4x + 5) + 10)*10 = (21 + 9)*9 (two secants intersecting)

(4x + 5 + 10)*10 = (30)*9

(4x + 15)*10 = 270

40x + 150 = 270

40x = 270 - 150 (subtraction property of equality)

40x = 120

Divide both sides by 40

40x/40 = 120/40

x = 3

✔️QS = (4x + 5) + 10

Plug in the value of x

QS = 4(3) + 5 + 10

QS = 12 + 5 + 10

QS = 27