STATEMENTS REASONS
1. ZAEB is a complement of ZBEC. 1. Given
2.
2. Definition of complementary angles
3. mZAEC = MZAEB + mZBEC .
4.
4. mZAEC = 90°
5. ZAED + ZAEC = 180°
5. Definition of supplementary angles
6.
6. Substitution Property of Equality
7. MZAED = 90°
7.

squares, rhombus, rectangles

30 people weigh 160 pounds or more

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