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.
2x2x2 = 8
4 x 2 x 2 = 16
16+8 = 24
Answer is A
Answer:
(A) m = –3 and b = –3
Step-by-step explanation:
If m=–3 and b=–3
The system of linear equations:
y = –3x + 5
y = mx + b
Becomes
y = –3x + 5 ......(i)
y = –3x – 3 .......(ii)
Notice that 5 is added to -3x in (i) and -3 is added to -3x in (ii) and both equals y. This is impossible. Thus the system has no solution.
F(-3) = 4(-3) + 5
F(-3) = -12 + 5
F(-3) = -7
Answer:
2x - 4
Step-by-step explanation:
We will have to use one variable.
Let's use "x" and call that number of shots taken by "Kyle"
So, we say:
Kyle takes "x" shots
It is told that Ben takes 4 fewer shots than Kyle, so:
Ben takes "x - 4"
So, the amount of shots both take is the sum of both shown above. So,
Total Shot = x + x - 4
Simplifying:
<u>2x - 4</u>
