Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
A midsegment is given by the formula:
![\frac{x1+x2}{2} , \frac{y1+y2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%2By2%7D%7B2%7D)
Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:
![\frac{-3+5}{2} , \frac{-1+3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%2B5%7D%7B2%7D%20%2C%20%5Cfrac%7B-1%2B3%7D%7B2%7D)
This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:
![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D%20)
We can do the following:
![\sqrt{(5-(-3))^2+(3-(-1))^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%285-%28-3%29%29%5E2%2B%283-%28-1%29%29%5E2%7D%20)
![\sqrt{(8)^2+(4)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%288%29%5E2%2B%284%29%5E2%7D%20)
![\sqrt{64+16}](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%2B16%7D%20)
This simplifies to
![4 \sqrt{5}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B5%7D%20)
:)
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Area of base
So possible dimensions are optionB given
Verified
Answer:
57.142858%
Step-by-step explanation:
I didn't know if you wanted the entire answer, so I just gave it anyway.