Question

Help plzz! Can you please explain as well! Thank you!!

Answer 1

Answer: 11

Explanation:

Since we know RT we can add RS and ST to equal RT.

`(2x-9)+(x+2)=23\\`

The parenthesizes are not necessary, but they help understand the parts of the equation.

We can remove the parenthesizes and then combine like terms.

`3x-7=23\\`

Now add 7 to both sides to isolate the 3x.

`3x=30\\`

Now divide by 3 to solve for x.

`x = 10\\`

Now that we have solved for x we need to plug it back into the RS expression to solve for that length.

`2(10)-9=RS\\`

Now solve.

RS = 11

Answer 2

RS = 11

Explanation:

RS + ST = ST

2x-9 + x+2 = 23

Combine like terms

3x -7 =23

Add 7 to each side

3x-7+7 =23+7

3x= 30

Divide by 3

3x/3 = 30/3

x = 10

RS = 2x-9

= 2(10) -9

20-9

11