Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
<u><em>Answer:</em></u>
Scott will need 168 ft² of pavers to cover his patio
<u><em>Explanation:</em></u>
Scott wants to cover a trapezoid-shaped patio
<u>This means that:</u>
To get the number of square feet of pavers he'll need, we need to get the area of his patio
<u>Area of trapezium id calculated as follows:</u>
![Area = \frac{base_{1}+base_{2}}{2} * height](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7Bbase_%7B1%7D%2Bbase_%7B2%7D%7D%7B2%7D%20%2A%20height)
<u>We are given that:</u>
base₁ = 11 ft
base₂ = 13 ft
height = 14 ft
<u>We now substitute with the givens to get the area as follows:</u>
![Area = \frac{11+13}{2} * 14 = 168ft^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B11%2B13%7D%7B2%7D%20%2A%2014%20%3D%20168ft%5E2)
<u>This means that:</u>
Scott will need 168 ft² of pavers to cover his patio
Hope this helps :)
The width would be 236 and the lengths would be 118
Use the equations 2L+W=472 and W*L=MAX
Change the first equation to W=472-2L and plug this into the other equation
(472-2L)(L)=MAX
472L-2L^2=M (take derivative)
472-4L=0 (set to 0 to find the max value)
4L=472
L=118
Plug into original to get W=236
Hope this helps!
Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!
Answer:
The answer is C.
Step-by-step explanation: The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.