Matt is working on the blueprint for the new patio, as shown below. He measures angle 2 and finds it is 63 degrees while the measure of angle 6 is 65 degrees. How could he adjust the strings so that they are parallel? a

Adjust the string line along the walkway and ensure angle 6 measures 117 degrees.

b

Matt does not need to adjust his strings since he identified corresponding angles are present.

c

Adjust the string line along the walkway and ensure angle 6 measures 63 degrees.

d

Adjust the string line along the walkway and ensure angle 6 measures 65.5 degrees

c ) Adjust the string line along the walkway and ensure angle 6 measures 63 degrees.

Step-by-step explanation:

The images are missing, so I looked fro similar questions and found the attached image. Since angle 6 is not congruent with angle 2, the lines will not be parallel. Matt needs to adjust the string line along the walkway so that angle 2 measures 63°. That way, both string lines will be parallel.  

366

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