Answer:
i think
Step-by-step explanation:
Answer:

Step-by-step explanation:
The area of a rectangle is equal to
, where
is the length of the rectangle and
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:

Expand the first equation:

Substitute the second equation into the first (
):

Solving for
:

Answer:
<h2>-4</h2>
Step-by-step explanation:
Given the line containing the points.
x | -7. -6. -5. -4
y | 21. 17. 13. 9
The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁
Using the coordinates y (21, 17) and corresponding value of x(-7, -6)
y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6
Substituting the values into the formula for calculating the slope, we have;
m = Δy/Δx = 17-21/-6-(-7)
m = -4/-6+7
m = -4/1
m = -4
<em>Hence the slope of the line that contains these points is -4</em>
Answer:
Probability that a house has a hot tub given that it has a pool is 55%.
Step-by-step explanation:
We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.
Let the probability that houses have a pool = P(A) = 0.38
Also, let B = event that houses have a hot tub
Probability that houses have both a pool and a hot tub =
= 0.21
Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)
<u>As we know that</u>; P(B / A) =
=
= 0.553 ≈ 55%
Hence, the probability that a house has a hot tub given that it has a pool is 55%.
According to the probles represented above, there is addition of two angles which makes it totally clear. I am pretty sure that the answer with the actual reason of this task is the second option <span>B. Angle Addition Postulate, as you can see a couple of new angles in there :)
Regards!</span>