Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
The first from right 8*3=24
72*3=216
216*3=648
648*3=1944
1944*3=5832
7x - 1 = 4x + 8
3x = 9
x = 9
ABD
7(3) - 1
21 - 1
20
DBC
4x + 8
4(3) + 8
12 + 8
20
3x - 17 + x + 40 + 2x - 5 = 180
6x + 18 = 180
6x = 198
x = 33
3(33) - 17
99 - 17
82
33 + 40
73
2(33) - 5
66 - 5
61
Answer:
(x - 4)² + (y + 1)² = 25
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
We are given <em>r</em>, and <em>(h, k)</em>, so simply plug them into the formula to get your answer.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
