Question

Does anyone know how to do this?

Answer 1

Answer:

mRS = 116

Step-by-step explanation:

If Segment SR ≅ TU then, arc SR ≅ arc TU

Thus, 6x - 28 = 4x + 20

                       ^ ( note that this is the equation we will use to solve for x )

6x - 28 = 4x + 20  

step 1 add 28 to each side

28 + -28 cancels out

28 + 20 = 48

we now have 6x = 4x + 48

step 2 subtract 4x from each side

6x - 4x = 2x

4x - 4x cancels out

we now have 2x = 48

step 3 divide each side by 2

2x / 2 = x

48 / 2 = 24

we're left with x = 24

Now to find the value of arc RS we substitute x with 24 in arc RS' given expression

arc RS = 6x - 28

* substitute x with 24 *

arc RS = 6(24) - 28

6 * 24 = 144

144 - 28 = 116

Hence, arc RS = 116

Answer 2

Answer:

Answer : mRS equals 116.