Let C be the center of the circle. The measure of arc VSU is 
, so the measure of the minor arc VU is 
. The central angle VCU also has measure 
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
Answer:
<u>Equations for each salesman:</u>
- A. p(s) = 65s
- B. p(s) = 40s + 300
- C. p(s) = 900
<u>When s = 0, s= 1, s = 10 each of the gets paid:</u>
- A. p(0) = 0, p(1) = 65, p(10) = 650
- B. p(0) = 300, p(1) = 340, p(10) = 700
- C. p(0) = p(1) = p(10) = 900
<u>The above numbers as ordered pairs:</u>
- <u> A B C </u>
- s = 0 | (0, 0) | (0, 300) | (0, 900)
- s = 1 | (1, 65) | (1, 340) | (1, 900)
- s = 10 | (10, 650) | (10, 700) | (10, 900)
Diagonals of rectangles are equal. AC = BD, so 2(x-3) = x+5. 2x - 6 = x+5. x = 11. Plug this into x+5 and you get 11 +5 = 16.
32(2+3) because 32 goes into 64 twice and 96 three times
