Answer:
SSS
∆PQR = 43
Step-by-step explanation:
The postulate to solve ∆PQR ≅ ∆STU is SSS. Both of the triangles have all three sides given, which means it can be solved for congruence.
9 + 6y + 5 + 14 = 9 + 8y +14
28 + 6y = 9 + 8y + 14
28 + 6y = 8y + 23
-6y -6y
--------------------------
28 = 2y + 23
-23 -23
---------------------
5 = 2y
---- ----
2 2
2.5 = y
9 + 14 + 6(2.5) + 5
23 + 15 + 5
23 + 20
43
∆PQR = 43
The answer is x=2
Remember, first add/substract the like terms, in this case 6x-10x to get -4x. Then, add 8x to negative 8x to cancel it out and do the same thing to -4x. Do this with all your terms and you should get 4x=8. Then divide both sides by 4 to get x=2.
So the base is 72 area squared. You multiply 72 by the height, which is 9, giving you 648 area cubed.
Hope this helped!
