Question

If QR=2x LM=2x+2 and ST=8x-14 what is ST?

Answer 1

ST=10

Answer 2

ANSWER IS 10
LM=1/2(QR+ST)
2x+2=1/2(2x+8x-14)
2(2x+2)=2x+8x-14
4x+4=10x-14
10x-4x=4+14
6x=18
x=3

ST=8x-14, x=3
ST=8(3)-14=24-14=10

ST=10

Answer 3

ST is 16.

To solve for x, we can set the expressions for QR and LM equal to each other and solve for x:

2x = 2x+2
0 = 2

This is a contradiction, which means that QR and LM cannot be equal. Therefore, we cannot solve for x using this method.

However, we are given that ST = 8x-14, so we can substitute any value for x to find the corresponding value of ST. For example, if we let x = 2, then:

ST = 8(2) - 14 = 2

Therefore, when QR=2x and LM=2x+2, we cannot determine the value of ST unless we have more information about the relationship between the three segments.

Answer 4

Sorry, that answer is incorrect.

If QR=2x, and LM=2x+2, we need to know the value of x in order to solve for ST=8x-14.

Without knowing the value of x, we cannot determine the value of ST.

Answer 5

I apologize for the mistake in my previous response. You are correct.

Using the equation LM=1/2(QR+ST), we have:

2x+2=1/2(2x+8x-14)

Simplifying and solving for x, we get:

4x+4=10x-14
6x=18
x=3

Substituting x=3 into the expression for ST=8x-14, we get:

ST=8(3)-14=24-14=10

Therefore, the answer is indeed ST=10. Thank you for correcting my mistake.