Answer:
12x - 73
Step-by-step explanation:
DFE + CFD = 12x + 7
DFE + 90 = 12x + 7
DFE = 12x + 7 - 90
DFE = 12x - 83
therefore
DFE = AFB ( vertically opposite angles are equal)
AFB = 12x - 83
Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7
Volume of solid created =
.
<u>Step-by-step explanation:</u>
We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube - Volume of rectangular prism
Volume of cube = 
⇒ 
⇒ 
⇒ 
Volume of rectangular prism = 
⇒ 
⇒ 
⇒ 
Now, Volume of solid created = Volume of cube - Volume of rectangular prism
⇒ Volume of solid created = 
⇒ Volume of solid created = 
⇒ Volume of solid created = 
∴ Volume of solid created =
.
Answer: Ro, 270 degrees
Step-by-step explanation:
When doing rotational transformation, you always rotate counter-clockwise. In this case, the triangle on the top right is the original figure, and the triangle on the bottom left is the image. You can pick any point on the original triangle and compare it to its corresponding point on the image to figure out how it has been transformed.
1. Add 5 to both sides. So x=5. That is a vertical line. The answer is undefined
2. 25- 5 7/8 + 6 1/2
Denominators have to be the same
Multiply 1/2 by 4/4
25-5 7/8 + 6 4/8
25 - 11 11/8
23 16/8- 11 11/8
12 5/8