Answer:48
Step-by-step explanation:
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
Line a has a larger value
2(y-4)+5=3(y+2)
multiply the first bracket by 2
(2)(y)=2y
(2)(-4)=-8
multiply the second bracket by 3
(3)(y)=3y
(3)(2)=6
2y-8+5=3y+6
2y-3=3y+6
move 3y to the other side
sign changes from +3y to -3y
2y-3y-3=3y-3y+6
-y-3=6
move -3 to the other side
-y-3+3=6+3
-y=9
multiply both sides by -1 to get +y
(-1)(-y)=9(-1)
Answer:
y=-9
