Find the measure of QS.
S9T 10 R 21 F 4x+5 Q
A. 35 B, 20 C. 27 D. 29
![Find the measure of QS S9T 10 R 21 F 4x5 Q A 35 B 20 C 27 D 29 class=](https://us-static.z-dn.net/files/dc4/d1fc1e38e0f8f40b95fab854a88bba60.jpg)
Answer:
C. 27
Step-by-step 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