St=x+3 and tu=4x-6 what is the value of st and su i know st=6 and su=12, but i'm not sure how to do the problem, can someone explain? (s, t, and u are all on the same line)

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

the answer is 13 cm