Point q is the midpoint of gh. gq=2x+3, and gh=5x−5 . what is the length of gq.

If Q is the midpoint of GH, then the length of the measure of GQ is 25

Midpoint is the point that divides the line into two equal parts.

If Q is the midpoint of GH, then the length of the measure of GQ is 25

If Q is the midpoint of G and H, this shows that:

Given the following measures

GQ=2x+3

GH=5x−5

Substitute equation 1 into 2 to have:

GQ + GQ = GH

2GQ = GH

2(2x+3) = 5x - 5

4x + 6 = 5x - 5

Collect the like terms

4x - 5x = -5 - 6

-x = -11

x = 11

Get the length of GQ

Recall that GQ = 2x+3

Substitute the value of x into the expression to have:

GQ = 2(11) + 3

GQ = 22 + 3

GQ = 25

Hence the length of the measure of GQ is 25

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answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: