Answer:
90-54w
Step-by-step explanation:
use the distributive property
Answer:
a = 90
b = 28
c = 68
d = 22
Step-by-step explanation:
![a = 90](https://tex.z-dn.net/?f=a%20%3D%2090)
![d=22](https://tex.z-dn.net/?f=d%3D22)
![22+90=112](https://tex.z-dn.net/?f=22%2B90%3D112)
![180-112=68](https://tex.z-dn.net/?f=180-112%3D68)
![c=68](https://tex.z-dn.net/?f=c%3D68)
![62+90=152](https://tex.z-dn.net/?f=62%2B90%3D152)
![180-152=28](https://tex.z-dn.net/?f=180-152%3D28)
![b=28](https://tex.z-dn.net/?f=b%3D28)
The formula of a midpoint:
![M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%3B%5C%20%5Cdfrac%7By_1%2By_2%7D%7B2%7D%5Cright%29)
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have the points P(3, 5) and Q(7, 5). Substitute:
![x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3%2B7%7D%7B2%7D%3D%5Cdfrac%7B10%7D%7B2%7D%3D5%5C%5C%5C%5Cy%3D%5Cdfrac%7B5%2B5%7D%7B2%7D%3D%5Cdfrac%7B10%7D%7B2%7D%3D5)
<h3>M(5, 5)</h3>
![d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-5%29%5E2%2B%287-3%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B4%5E2%7D%3D%5Csqrt%7B4%5E2%7D%3D4)
<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>
The new length side of the perimeter, we'll call p. The original length, we'll call o. P's equation looks like this:
![p = 20 \times \frac{1}{4}](https://tex.z-dn.net/?f=p%20%3D%2020%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B4%7D%20%20)
Since 5 is the length of one side, subtract 2 from 5 to get 3. The equation looks like this:
![o = \frac{20}{4} - 2](https://tex.z-dn.net/?f=o%20%3D%20%20%5Cfrac%7B20%7D%7B4%7D%20%20-%202%20%20%20)
or simply
Answer:
26.67
Step-by-step explanation: