Answer:
b. x = 3
Step-by-step explanation:
The two triangles are similar triangles, so their side length are proportional to each other. One triangle is ΔPRQ, and the other is ΔTRS, so sides PQ and TS are proportional to each other and sides RQ and RS are proportional to each other.
PQ = 4x, TS = 2, RQ = 18, and RS = 3
PQ is to TS as RQ is to RS
4x/2 = 18/3 now solve for x by cross multiplying
12x = 36
x = 3 (divide by 12 on both sides)
