1. Find the missing angle for each triangle. 2. Which triangles are similar (Hint: Angle-Angle Criterion)?

1: 42-degrees, 69-degrees, 64-degrees, 53-degrees

2: first triangle and last triangle are similar while the other two are similar to each other

Step-by-step explanation:

1: 85 + 53 + x= = 180

138 + x = 180

x = 42

2: 47 + 64 + x = 180

111 + x = 180

x = 69

3: 47 + 69 + x = 180

116 + x = 180

x = 64

4: 85 + 42 + x = 180

127 + x = 180

x = 53

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560