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11 months ago

What can you prove congruent from your given

Mathematics

1 answer:

Molodets [167]11 months ago

4 0

Answer:

a. line OL bisects angle MLN

b. triangle MLO is congruent to triangle OLN

c. line OL proves that they are congruent through reflexive property.

Step-by-step explanation:

hope this helps!

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.

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Answer:

The measure of the side $QR$ is 8.8.

Step-by-step explanation:

Since $LMNO \sim PQRS$ , then $SP \propto OL$ , $RS \propto ON$ , $RQ \propto MN$ and $QP \propto LM$ . From figure we have the following relationship:

$k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}$ (1)

Where $k$ is the proportionality ratio.

If we know that $SP = 13, OL = 55, MN = 37$ , then the measure of side $QR$ is:

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$k = \frac{MN}{QR}$

$QR = \frac{MN}{k}$ (1c)

$QR = \frac{37}{\frac{55}{13} }$

$QR = 8.745$

The measure of the side $QR$ is 8.8.

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