In the pulley system shown in this figure, mq = 30 mm, np = 10 mm, and qp = 21 mm. find mn.

For a better understanding of this problem, see the figure below. Our goal is to find . Since:

and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

By Pythagorean theorem, for triangle NQP:

Applying Pythagorean theorem again, but for triangle MQN:

5104.38 inches

step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .