Answer:
D. x = 5.4, y = 6.67
Step-by-step explanation:
The triangles are similar as per problem description, so the ratios match:
y/5 = 4/3
x/3 = 9/5
let's solve:
y/5 = 4/3
3y/5 = 4
3y = 20
y = 6.(6)
x/3 = 9/5
5x/3 = 9
5x = 27
x = 5.4
Answer:
63
Step-by-step explanation:
Answer:
x=9
Step-by-step explanation:
We can use similar triangles and ratios. Put the small triangle side over the large triangle side.
9cm 3x -20
---------- = ---------------- We need to add the sides to get to the larger triangle
72+9 cm 3x-20 + 56
We can cross multiply to solve
9 * (3x-20+56) = (72+9) * (3x-20)
Simplify
9*(3x+36) = 81*(3x-20)
Distribute
27x +324 = 243x -1620
Subtract 27x from each side
27x-27x +324 = 243x-27x -1620
324 = 216x-1620
Add 1620 to each side
324+1620 = 216x
1944 = 216x
Divide each side by 216
1944/216 = 216x/216
9=x
