Geometry in triangle xyz the measure of angle x is eight times the sum of the

measures of angles y and 2 the measure of angle y is three times the

measure of angle 2 what are the measures of the angles?

The measures of the angles are: x=160°, y=15°, and z=5°

Step-by-step explanation:

Consider the provided information.

The measure of angle X is eight times the sum of the  measures of angles Y and 2

This can be written as:

x=8(y+z)

The measure of angle Y is three times the  measure of angle z.

y=3(z)

Substitute the value of y in x=8(y+z).

x=8(3z+z)

x=32z

As we know the sum of interior angles of a triangle is 180°

x+y+z=180°

Substitute the value of x and y in above equation,

32z+3z+z=180°

36z=180°

z=5°

The measure of angle Y is:

y=3(5°)

y=15°

Substitute the value of z=5° in x=32z

x=32(5°)

x=160°

Hence, the measures of the angles are: x=160°, y=15°, and z=5°

theres no picture: /

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