Answer:
42 square units
Step-by-step explanation:
The area of the rectangle is the product of its length and width:
area = 6(x -8)
The area of the triangle is half the product of its base and height:
area = (1/2)(x-3)·7
These two areas are equal, so we have ...
6(x -8) = (1/2)(x -3)(7)
6x -48 = 3.5x -10.5 . . . . eliminate parentheses
2.5x = 37.5 . . . . . . . . . . . add 48 -3.5x
x = 15 . . . . . . . . . . . . . . . divide by 2.5
The area of the rectangle is ...
area = 6(15 -8) = 42 . . . . square units.
Answer:
28° at top and 1° at bottom
Step-by-step explanation:
If you look at it u can see that it's even so you would know it would be the same answer on each side.
Assume the sum is 100. The ratio of the two numbers is 15:10. This means that we can divide this indow 15+10, or 25 parts. Let us do that. Divide 100 into 25 parts and see how much is in each part. 100/25 is 4, meaning that there is 4 in each part. 15 parts will have 15*4, or 60. 10 parts will have 10*4, or 40. To confirm, add 40 and 60. It matches with what we started out with, 100.
The two numbers, assuming the sum is 100, are 40 and 60. 60 is the greater value.
Disregard the 9x+3y in the pic. The answer is 3/4x-13/12=y
Answer:
The triangle should be 16 inches wide.
Step-by-step explanation:
What we know:
- One of the legs measures 12 inches.
- The hypotenuse is 20 inches.
We need to solve for b. Solving for a while b is 12 would also be acceptable.
We will use the first equation.
The triangle should be 16 inches wide.
