I'm pretty sure he saved $27. I just divided 90 by 20 to get the amount of times he would have saved 6 dollars. Then, I multiplied that number, 4.5, times 6 to get the amount he saved. Hope that helps (and that it's correct lol). <span />
we know that
In the <u>isosceles trapezoid</u> of the figure, the angles on either side of the bases are the same size/measure (congruent), and adjacent angles (next to each other) along the sides are supplementary.
so
m∠A=m∠B=3x
m∠D=m∠C=9x
m∠A+m∠D=![180](https://tex.z-dn.net/?f=%20180%20)
Substitute
![3x+9x=180\\\\ 12x=180\\\\ x=\frac{180}{12} \\ \\ x=15\ degrees](https://tex.z-dn.net/?f=%203x%2B9x%3D180%5C%5C%5C%5C%2012x%3D180%5C%5C%5C%5C%20x%3D%5Cfrac%7B180%7D%7B12%7D%20%5C%5C%20%20%20%5C%5C%20x%3D15%5C%20degrees%20)
therefore
<u>the answer is</u>
the value of x is equal to ![15\ degrees](https://tex.z-dn.net/?f=%2015%5C%20degrees%20)
1 over K^4 is the answer <span />
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
40 unit²
Step-by-step explanation:
If you are referring to the figure attached read on:
We know that the distance between two points can be computed using the formula:
![d = \sqrt{(X_2-X_1)^{2} + (Y_2-Y_1)^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28X_2-X_1%29%5E%7B2%7D%20%2B%20%28Y_2-Y_1%29%5E%7B2%7D%7D)
We also know that the formula for the area of a rectangle is:
A = L x W
While the area of a parallelogram is:
A = b x h
In the figure the dimensions of the parallelogram is easy to get as the base is vertical and the height is horizontal parallel to the x and y axes.
The base is 6 units, and the height is 1 unit. So we multiply that:
A = 6 x 1 = 6 units²
As for the rectangle we need to use the distance formula because they are not parallel to the x and y axes.
First let's get the width, then the length.
![L = \sqrt{(-6 - 2)^2+(-1-1)^{2} } \\\\ = \sqrt{(-8)^2 + (-2)^2}\\\\ = \sqrt{64 + 4}\\\\ =\sqrt{68} \\\\ = 8.25 units\\W = \sqrt{(-6 - -5)^2+(-1 - - 5)^2} \\\\ = \sqrt{(-1)^2+(4)^2} \\\\ =\sqrt{1 + 16}\\\\ = \sqrt{17}\\\\ = 4.12 units\\](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28-6%20-%202%29%5E2%2B%28-1-1%29%5E%7B2%7D%20%7D%20%5C%5C%5C%5C%20%20%20%3D%20%5Csqrt%7B%28-8%29%5E2%20%2B%20%28-2%29%5E2%7D%5C%5C%5C%5C%20%20%20%3D%20%5Csqrt%7B64%20%2B%204%7D%5C%5C%5C%5C%20%20%20%3D%5Csqrt%7B68%7D%20%5C%5C%5C%5C%20%20%20%3D%208.25%20units%5C%5CW%20%3D%20%5Csqrt%7B%28-6%20-%20-5%29%5E2%2B%28-1%20-%20-%205%29%5E2%7D%20%5C%5C%5C%5C%20%20%20%20%20%3D%20%5Csqrt%7B%28-1%29%5E2%2B%284%29%5E2%7D%20%5C%5C%5C%5C%20%20%20%20%20%3D%5Csqrt%7B1%20%2B%2016%7D%5C%5C%5C%5C%20%20%20%20%20%3D%20%5Csqrt%7B17%7D%5C%5C%5C%5C%20%20%20%20%3D%204.12%20units%5C%5C)
So now we have the the dimensions of the rectangle, we can solve for the area.
A = 8.25 unit x 4.12 unit
= 33.99unit²
To get the total area then, we add up their areas:
33.99 unit² + 6 unit² = 39.99 unit² ≅ 40 units²