of the quotient of the rectangular prism of green green and green green yellow green eeewww
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to
![P=x+y+z](https://tex.z-dn.net/?f=P%3Dx%2By%2Bz)
![P=3,067\ mi](https://tex.z-dn.net/?f=P%3D3%2C067%5C%20mi)
so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A
![3,067=(y-71)+y+(y+372)](https://tex.z-dn.net/?f=3%2C067%3D%28y-71%29%2By%2B%28y%2B372%29)
solve for y
![3,067=3y+301\\3y=2,766\\y=922](https://tex.z-dn.net/?f=3%2C067%3D3y%2B301%5C%5C3y%3D2%2C766%5C%5Cy%3D922)
Find the value of x
![x=y-71\\x=922-71\\x=851](https://tex.z-dn.net/?f=x%3Dy-71%5C%5Cx%3D922-71%5C%5Cx%3D851)
therefore
The measure of the shortest side is 851 miles
On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
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Answer:
y = 10
Step-by-step explanation:
y = 4(3) - 2
y = 12 - 2
y = 10