Use the diagram below to answer the following questions.

the value of x is
the measure of 1 is
the measure of 2 is
the measure of 3 is
the measure of 4 is
the measure of 5 is
the measure of 6 is
the measure of 7 is
the measure of 8 is

The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.

Step-by-step explanation:

If two line intersect each other, then vertical opposite angles are same.

                   (Vertical opposite angles)

Divide both sides by 2.

The value of x is 24.

Measure of angle 2 is

               (Vertical opposite angles)

The measure of angle 2 is 79°.

Measure of angle 1 is

          (Angle 1 and 2 are supplementary angles)

The measure of angle 1 is 101°.

Measure of angle 3 is

          (Angle 3 and 2 are supplementary angles)

The measure of angle 3 is 101°.

Measure of angle 4 is

               (Vertical opposite angles)

The measure of angle 4 is 101°.

Measure of angle 5 is

               (Alternate Interior Angles)

The measure of angle 5 is 79°.

Measure of angle 6 is

                (Vertical opposite angles)

The measure of angle 6 is 79°.

Measure of angle 7 is

                (Supplementary angles)

The measure of angle 7 is 89°.

Measure of angle 8 is

                (Vertical opposite angles)

The measure of angle 8 is 89°.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8