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4 years ago

8

Write the prime factorization of each number then find the greatest common factor of the numbers 40, 48

1 answer:

DedPeter [7]4 years ago

3 0

40= 1,2,4,5,8,10,20,40
48= 1,2,3,4,6,8,12,16,24,48
the gcf is 8.

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Given that PS is the perpendicular bisector of QR, PQ=3.5m+18, and PR=6m+3, identify PQ.

kolbaska11 [484]

Answer:

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Step-by-step explanation:

we know that

$QS=RS$ ----> equation A

Applying Pythagoras Theorem

$PQ^2=SP^2+QS^2$ -----> equation B

$PR^2=SP^2+RS^2$ -----> equation C

substitute equation A in equation C

$PR^2=SP^2+QS^2$

we have that

$PR^2=PQ^2$

so

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substitute the given values

$6m+3=3.5m+18$

Solve for m

$6m-3.5m=18-3$

$2.5m=15$

$m=6$

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substitute the value of m

$PQ=3.5(6)+18$

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