Answer:
7. D) 61in
8. A) 57in
9. A) 47in
Step-by-step explanation:
The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.
7.
AB + BC + AC = 145
Substitute,
2x + 2x + 5 + x = 145
Simplify,
5x + 5 = 145
Inverse operations,
5x + 5 = 145
-5
5x = 140
/5
x = 28
Substitute,
AC = 2x + 5= 2(28) + 5 = 61
8.
AB + BC + AC = 135
Substitute,
2x + 2x + 5 + x = 135
Simplify,
5x + 5 = 135
Inverse operations,
5x + 5 = 135
-5
5x = 130
/5
x = 26
Substitute,
AC = 2x + 5 = 2(26) + 5 = 57
9.
AB + BC + AC = 122
Substitute,
x + 22 + 2x + x = 122
Simplify,
4x + 22 = 122
Inverse operations,
4x + 22 = 122
-22
4x = 100
/4
x = 25
Substitute,
AB = x + 22 = 25 + 22 = 47
