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°

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3