Answer:
9 cm
Step-by-step explanation:
Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.
Therefore 2x+5=4x+1
2x=4
x=2
If you plug x=2 into the the original equation, you get 9 cm.
The measure of PQ is 9 centimeters.
Important information:
The oppositie sides of a parallelogram are equal.
[tex]PQ=RS[/tex]
[tex]2x+5=4x+1[/tex]
[tex]5-1=4x-2x[/tex]
[tex]4=2x[/tex]
Divide both sides by 2.
[tex]2=x[/tex]
Now, find the measure of PQ.
[tex]PQ=2x+5[/tex]
[tex]PQ=2(2)+5[/tex]
[tex]PQ=4+5[/tex]
[tex]PQ=9[/tex]
Therefore, the measure of PQ is 9 centimeters.
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