Answer:
Step-by-step explanation:
1) ∠1 + 33 = 180 {Straight line}
∠1 = 180 - 33
∠1 = 147
2){Exterior angle of a triangle equals the sum of opposite interior angles}
∠2 = 47 + 33
∠2 = 80
3) ∠2 +x = 180 {straight line}
80 + x = 180
x = 180 - 80
x = 100
{Exterior angle of a triangle equals the sum of opposite interior angles}
∠3 = 100 + 48
∠3 = 148
12,909 rounded to the nearest ten is 12,910
To answer the question above, let x be the shorter one of the pieces. With the variable, we can express the longer piece as 2x + 3. Based on the given, the sum of the lengths of these pieces should sum up to 14 ft.
2x + 3 + x = 14 ft, x = 3 2/3 ft
Substituting this value for the longer piece, we get 10 1/3 ft. Thus, the lengths of the pieces are 3 2/3 ft and 10 1/3 ft.
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
Answer:
<h2>30k - 50</h2><h2 />
Step-by-step explanation:
-5 (-6k + 10)
= 30k - 50
