A store sells custom-made stands for tablet computers. When an order comes in, the customer specifies the angle at which the stand should hold the tablet. Then an employee bends a piece of aluminum to the correct angle to make the stand . The figure shows the templates that the employee uses to make a 60° stand and a 40° stand. 40 The store receives an order for a 50stand. The employee does not have a template for a 50" stand and does not have a protractor . Can the employee use the existing templates and a compass and straightedge to make a template for a 50^ - so, explain how and show the steps the employee should use. If not explain why not.
Using a ruler and a pair compasses only construct
i. triangle GBC with angle GBC 30 degrees. , |BC| = 9.5 , AND |BG| = 12 CM.
ii. L1 the locust of points 6cm from C
ii. L2 the perpendicular from C to BG
iii. Locate A and D point of intersection of L1 and GB,
iv. Measure |AD| and angle ACD
Suppose Q is the midpoint of segment PR. PQ = 2x + 1 and QR = 5x - 44. Find PQ.