Answer:
What do the "m" 's equal? There isn't a way to solve that without more information...
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
25% of 90 = 25/100 × 90
= 1/4 × 90 = 90/4 = 45/2 = 22 1/2 or 22.5
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 value of A is 9. This is because 40-13= 27
3x?=27 3x9=27
Answer: The measure of angle 6 is 120°
Step-by-step explanation: