Question

Determine the value of k. Round your answer to the nearest hundredth if necessary. An image of a triangle RQS, which contains triangle RTU. TU is parallel to QS and the triangles share angle R. RT = 50, TQ = 10, RU = 30 and US = k. Question 9 options: A: 15 B: 50 C: 0.17 D: 6

Answer 1

D. 6

Explanation:

Using similar triangles: ΔRTU ≅ ΔRQS

50/30 = 60/(30 + k)

50 (30 + k) = (60)(30) = 1800

1500 + 50k = 1800

50k = 1800 - 1500 = 300

k = 300/50 = 6