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spin [16.1K]
3 years ago
13

Which equation has infinitely many solutions?

Mathematics
2 answers:
Verdich [7]3 years ago
5 0

Answer:

The second option (5x+14-4x=23+x-9)

Step-by-step explanation:

For an equation to have infinitely many solutions each side must be exactly the same when simplified.

12+4x=6x+10-2x

Combine alike terms.

12+4x=4x+10

Subtract 4x from each side

12=10

This is not true so this equation has no solutions.

5x+14-4x=23+x-9

Combine alike terms

x+14=14+x

subtract x from each side

14=14

This is true so this equation has infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

koban [17]3 years ago
3 0

Answer:

your answer is correct

Step-by-step explanation:

5x+14-4x=23+x-9

simply both sides

x+14=x+14

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
dalvyx [7]

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:

k = \frac{OL}{SP} (1b)

k = \frac{55}{13}

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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