Answer:
Hello! answer: B
Step-by-step explanation:
B marks -1.5 on the number line. HOPE THAT HELPS!
Answer:
100, because 180 - 50 - 90 = 40
The vertical angles theorem is applied, so now angle DCE is 40
And since CE = ED, its isosceles triangle, so base angles are equal, so 40 and 40.
180 - 80 = 100 = Angle E.
Answer: $37.33
Explanation: The Total Cost $112 divided by 3 people equals the cost (c) per ticket
Answer:
x = -2/3 , 2
Step-by-step explanation:
Factor 2 out of
6
x^
2 −
8
x
−
8
2
(
3
x^
2
−
4
x
−
4
)
=
0
Factor
2
(
3
x
+
2
)
(
x
−
2
)
=
0
Set 3
x
+
2 equal to 0 and solve for x
x = -2/3
Set x
−
2 equal to 0 and solve for x
x = 2
The final solution is all the values that make 2 (
3
x
+
2
)
(
x
−
2
)
=
0
x = -2/3 , 2
Hope this can help you
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.
