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Answer :
Since R is the midpoint, both sides will be equal so you would set the equations equal to each-other and solve like this
3x+8= 5x-6
+6. +6
3x + 14 =5x
-3x. -3x
14= 2x.
You would then simply x by diving both sides by two to get x=7.
Plugging that into the equation of SR ( that is what we are trying to find) your answer is 29.
( SR= 3(7) +8
SR = 21+8
SR= 29 )
Hope this helps!
3x+8= 5x-6
+6. +6
3x + 14 =5x
-3x. -3x
14= 2x.
You would then simply x by diving both sides by two to get x=7.
Plugging that into the equation of SR ( that is what we are trying to find) your answer is 29.
( SR= 3(7) +8
SR = 21+8
SR= 29 )
Hope this helps!
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Final answer:
To find the measure of SR, we need to equate the expressions for SR and RT, and solve for x. By substituting x = 7 into the expression for SR, we find that the measure of SR is 29.
Explanation:
To find the measure of SR, we need to use the fact that R is the midpoint of ST. This means that SR is equal in length to RT. Equating the expressions for SR and RT, we have:
3x + 8 = 5x - 6
Subtracting 3x from both sides, we get:
8 = 2x - 6
Adding 6 to both sides, we get:
14 = 2x
Dividing both sides by 2, we get:
x = 7
Now we can substitute x = 7 into the expression for SR:
SR = 3(7) + 8
SR = 21 + 8
SR = 29
Therefore, the measure of SR is 29.
