Part c: find the distance from b to e and from p to e. show your work. (4 points)

Part 1)

Part 2)

Step-by-step explanation:

Part  1)

Find the distance from B to E

To solve this problem I assume that CGRP is a parallelogram

so

Triangles CGB and PEB are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

substitute the values

solve for BE

Convert to mixed number

Part 2)

Find the distance from P to E

substitute the values

solve for PE

Convert to mixed number

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°