Jean needs to cut a triangular piece of tile for a mosaic. in order to cut it properly, she needs to know the measure of the unknown angle ? ∘ as shown in the figure. the lengths of pq, qr, and pr are 90 millimeters, 77 millimeters, and 151 millimeters respectively. what is the value of the unknown angle?

select the correct answer below:

23

27

39

50

51

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.