Question

Look at the diagram. If RS= 8y + 4, ST = 4y + 8, and RT = 36, find the value of y.

Answer 1

RS= 8y + 4, ST = 4y + 8, and RT = 36

RS + ST = RT
8y + 4 + 4y + 8 = 36
12y + 12 = 36
12y = 24
    y = 2

answer
y = 2 (first choice)

Answer 2

Answer:

(A) y=2

Step-by-step explanation:

It is given that $RS=8y+4$, $ST=4y+8$and $RT = 36,$ then

According to the figure given, we have

$RT=RS+ST$

$36=8y+4+4y+8$

$36=12y+12$

$24=12y$

$y=\frac{24}{12}$

$y=2$

Thus, the value of y will be 2.

Hence, option A is correct.