Answer:
z = 62
y = 117
Step-by-step explanation:
Z
118 and z are supplementary.
z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.
z = 180 - 118 Do the subtraction
z = 62 Answer
Y
The interior angles of all quadrilaterals (convex) add up to 360 degrees.
y + z + 84 + 97 = 360 Given
62 + y + 84 + 97=360 Add
y + 243 = 360 Subtract 243 from both sides
y = 360 - 243 combine
y = 117 Answer
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
y = 8x − 2
Step-by-step explanation:
x =the number of boxes
Total jars of tomato sauce is each box contains 8 jars so that is 8 x x=8x
2 jars were removed making it 8x-2
y will be 8x-2
Answer:
u need 78 feet of the three foot wide fencing
Step-by-step explanation:
![A=2πrh+2π {r}^{2}](https://tex.z-dn.net/?f=A%3D2%CF%80rh%2B2%CF%80%20%7Br%7D%5E%7B2%7D%20)
![= 2\pi.r(r + h)](https://tex.z-dn.net/?f=%20%3D%202%5Cpi.r%28r%20%2B%20h%29)
= 2π(14).(14+29)
=2π .14.43
![2 \times \frac{22}{7} \times 14 \times 43](https://tex.z-dn.net/?f=2%20%5Ctimes%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%2014%20%5Ctimes%2043)
![= 2 \times 22 \times 2 \times 43](https://tex.z-dn.net/?f=%20%3D%202%20%5Ctimes%2022%20%5Ctimes%202%20%5Ctimes%2043)
=3784 mm²