to find the area of a rectangle is LxW=A
plug in the given numbers you have
L = 7
W = x-8
A = 42
7 * x-8 = 42
7x-56= 42
solve for X
Answer:
Step-by-step explanation:
This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of 
and set that expression equal to the midsegment:
2x + 10 = 3x
-2x - 2x
____________
You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.
I am joyous to assist you anytime.
This one works the same way the last one did.
If -8 is x-2, then x = -6. The corresponding point is (-6, -5).
Answer:
The number of completed weeks when Natasha and Taylor will have an equal amount of saved is 8 weeks
Step-by-step explanation:
The starting amount of Taylor's savings = $10
The amount Taylor plans to save a week = $20
Therefore, the function that models Natasha's saving plan is y = 10 + 20·x
The function that models Natasha's saving plan is y = 50 + 15·x
Where;
y is the amount in savings
x is the number of completed weeks
When the amount of savings, y, of both Natasha and Taylor are equal, we have;
y for Natasha = y for Taylor
Therefore
10 + 20·x = 50 + 15·x
20·x - 15·x = 50 - 10
5·x = 40
x = 40/5 = 8
The number of completed weeks when Natasha and Taylor will have an equal amount of saved, x = 8 weeks
