Respuesta :
If PQ = x + 2, QR = 3x, and PR = 10, then QR is equal to 6.
According to the definition of midpoint PQ+QR=PR then we can write x+2+3x=10, by the definition of midpoint.
4x+2=10
Subtract 2 from both sides 4 x+2-2=10-2
Simplify
4 x=8
Divide both sides by 4
[tex]\frac{4 x}{4}=\frac{8}{4}[/tex]
Simplify
x=2
So, According to question given QR = 3x=3[tex]\times[/tex]2=6.
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C. As a result, measuring the length of the line segment and dividing it by two will yield the midpoint.
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