Hello from MrBillDoesMath!
Answer:
35
Discussion:
Parallel lines cut by a transversal has corresponding angles equal. . So the corresponding angles x and (3x-70) are equal. That is,
x = 3x - 70 => add 70 to both sides
x + 70 = 3x => subtract x from both sides
70 = 3x - x = 2x => divide both sides by 2
x = 70/2 = 35
which is the third choice
Thank you,
MrB
Answer:
65°
Step-by-step explanation:
All triangles equal 180 degrees. So just subtract the other values.
Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13
Therefore, length = 8x = 8 x 13 = 104
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
