Respuesta :

choixongdong
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)
boffeemadrid

Answer:

(A) y=2

Step-by-step explanation:

It is given that [tex]RS=8y+4[/tex], [tex]ST=4y+8[/tex]and [tex]RT = 36,[/tex] then

According to the figure given, we have

[tex]RT=RS+ST[/tex]

[tex]36=8y+4+4y+8[/tex]

[tex]36=12y+12[/tex]

[tex]24=12y[/tex]

[tex]y=\frac{24}{12}[/tex]

[tex]y=2[/tex]

Thus, the value of y will be 2.

Hence, option A is correct.