Answer:
NO.
Step-by-step explanation:
This is why:
2x + 2 = 4x - 11
-4x - 4x
_______________
-2x + 2 = -11
- 2 - 11
____________
-2x = -22
___ ___
-2 -2
x = 11
2[11] + 2 = 4[11] - 11
22 44
24 ≠ 33
So, use the Segment Addition Postulate:
[2x + 2] + [4x - 11] = 9x - 30
-9 + 6x = 9x - 30
- 9x - 9x
________________
-9 - 3x = -30
+9 + 9
____________
-3x = -21
x = 7
Solving for AB
[tex]4(7) - 11 = 28 - 11 = 17[/tex]
Solving for BC
[tex]2(7) + 2 = 14 + 2 = 16[/tex]
Solving for CA [MUST add up to thirty-three]
[tex]9(7) - 30 = 63 - 30 = 33☑[/tex]
So guess what? THEY DO ADD UP TO 33.☑
I am joyous to assist you anytime.
