Answer:
sorry abs
Step-by-step explanation:
Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Answer:
![A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)](https://tex.z-dn.net/?f=A%28x%2Cy%29%2CB%28x%2B10%2Cy%29%2CC%28x%2B10%2Cy-10%29%20%5C%3Aand%5C%3A%20D%28x%2Cy-10%29)
Step-by-step explanation:
If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:
![\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Bmatrix%7Dw%2Bl%3D20%20%26%20%5C%5C%20w%2Al%3D100%20%26%20%5Cend%7Bmatrix%7D%5Cright.%5CRightarrow%20w%3D20-l%5CRightarrow%20%2820-l%29l%3D100%5CRightarrow%20-l%5E2%2B20l-100%3D0%5CRightarrow%20l%5E2-20l%2B100%5CRightarrow%20%28l-10%29%28l-10%29%5CRightarrow%20l%3D10%5Ctherefore%20l%3D10%5C%3A%20and%5C%3A%20w%3D10)
Therefore we can say:
![A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)](https://tex.z-dn.net/?f=A%28x%2Cy%29%2CB%28x%2B10%2Cy%29%2CC%28x%2B10%2Cy-10%29%20%5C%3Aand%5C%3A%20D%28x%2Cy-10%29)
Technically when
in this rectangle is a square, a degenerate square.
Answer:
8 yards < 10 yards
He has enough.
Step-by-step explanation:
1 yard = 3 feet
y yards = 24 feet
![\frac{1}{3} :\frac{y}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%3A%5Cfrac%7By%7D%7B24%7D)
y · 3 = 1 · 24
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
24 feet = 8 yards
8 yards < 10 yards