Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes
Given
m || n
m∠1 = 120°
Prove m∠6 = 60°

m || n
m∠1 = 120°-given

∠5≈∠1- ?

m∠5= m∠1-angle congruence postulate

m∠5= 120°-substitution property of equality

m∠6+m∠5= 180°- ?

m∠6+120°= 180°-substitution property of equality

m∠6= 60°-subtraction property of equality

∠5≈∠1 - corresponding angles

m∠6+m∠5=180° - supplementary angles

i hope this helps!

i hope this is what you were looking for.

see attached graph

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