Answer:
A. 10
Step-by-step explanation:
Based on the midsegment theorem, thus:
2x + 7 = ½(7x - 16)
Multiply both sides by 2
2(2x + 7) = 7x - 16
4x + 14 = 7x - 16
Combine like terms
4x - 7x = -14 - 16
-3x = -30
Divide both sides by -3
x = 10
Answer:
(a) c = 40h + p
(b) $285
Step-by-step explanation:
(a)
Total Cost = (Cost per hour x Number of Hours) + Total Cost of Parts
c = 40h + p
(b)
For this case, p = $165 and h = 3:
c = 40*3 + 165 = $285
Y - x = 9
12 = 1/3x
The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.
y - x = 9
y = x + 9
x = y - 9
You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36
Now we can set them equal to each other
36 = y - 9
y = 45
Answer: x = 36 and y = 45