Step-by-step explanation:
For SAS, you need two sides to be in proportion and the included angles to be congruent.
A) included angle between XY and YZ is Y, so wrong
B) included angle between UV and WV is V, so correct.
C) this ratio is just wrong.
D) included angle between XZ and ZY is Z, and the ratios check out, so correct.
B is yes and the rest are no. B is the only solution where y equals 1.
5x−12=−2+5(x−2)
multiply 5 by all in parentheses first
5x - 12= -2 + (5*x) + (5*-2)
5x - 12= -2 + 5x - 10
5x - 12= 5x - 12
if you subtract 5x from one side and add 12 to the other the solution is:
0= 0
This equation is one that is always true. No matter what number you put in for x, it will always be true.
Example:
5x - 12= 5x - 12
5(4) - 12= 5(4) - 12
20 - 12= 20 - 12
8= 8
Example:
5(-100) - 12= 5(-100) - 12
-500 - 12= -500 - 12
-512= -512
This will happen no matter what number x is.
ANSWER: D) All values of x make the equation true.
Hope this helps! :)
D. is the answer because it has multiplication
