Answer:
6sqrt(2)
Step-by-step explanation:
You need to use the Right Triangle Altitude Theorem.
There are two parts to this theorem.
Here is the part you need for this problem.
If the altitude is drawn to the hypotenuse of a right triangle, the length of each leg of the right triangle is the geometric mean of the segment of the hypotenuse adjacent to the leg and the entire hypotenuse.
In this case, you end up with this proportion:
Length of leg: z
Length of entire hypotenuse = 8 + 1 = 9
Length of segment of hypotenuse adjacent to leg of interest: 8
8/z = z/9
z^2 = 72
z = sqrt(72)
z = sqrt(36 * 2)
z = 6sqrt(2)
Answer:

Step-by-step explanation:
Given
See attachment
Required
Find x
From the attachment, we have:




Because both triangles are similar, we use the following equivalent ratios:

Substitute values for each parameter

Convert to fractions

Simplify the right-hand side

Cross Multiply


Collect Like Terms


Solve for x


Answer: The marginal propensity to consume (MPC) in the given equation is 0.5.
The formula above is in slope intercept form. The MPC is like the slope of the equation. It gives the change in consumption, C, over the change in income, Y.
For example, if we let Y = 1, then the consumption will go from 200 to 200.5. It was a change of 0.5 over 1. Or just 0.5.