Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x
Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
+ Total labor variance
We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x
Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000
Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000
The measure of angles are 69 degree and 111 degree
<em><u>Solution:</u></em>
Given is linear pair angles
The measure of angles are: (6x - 9) degrees and (9x - 6) degrees
A linear pair of angles is formed when two lines intersect.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Therefore,

<em><u>Thus the measure of angles are:</u></em>

Thus measure of angles are 69 degree and 111 degree