Question

Please solve ASAP I'll award

Answer 1

The length of ST = 4 units.

Explanation:

Given:

`\sf RS = 9`

`\sf ST = 2x +26`

`\sf RT = x+24`

To find:

Length of ST =?

Solution:

We know that RS + ST = RT, because the total distance between two points (R and T) is equal to the sum of the distances between those points via intermediate points (RS and ST).

Mathematically, this can be expressed as:

`\sf RS + ST = RT`

Substituting the given values:

`\sf 9 + (2x + 26) = (x + 24)`

Now, let's solve for x:

`\sf 9 + 2x + 26 = x + 24`

Combine like terms:

`\sf 2x + 35 = x + 24`

Subtract x from both sides:

`\sf x + 35 = 24`

Subtract 35 from both sides:

`\sf x +35-35= 24-35`

`\sf x = -11`

Now that we have the value of x, we can substitute it into the expression for ST to find its length:

`\begin{aligned}\textsf{ST }&\sf = 2x + 26 \\\\&\sf = 2(-11) + 26\\\\&\sf = -22 + 26\\\\&\sf = 4\end{aligned}`

So, the length of ST is 4 units.