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.

4 0

2 years ago

The greatest common factor of 32a and 48b

rodikova [14]

The common factors of 32 and 48 are 16, 8, 4, 2, 1,

7 0

2 years ago

Which expression is equivalent to 4(x+2)?

Alex73 [517]

Hello!

You can expand the 4

4x + 8

the answer is 4x + 8

Hope this helps!

5 0

2 years ago

What is the value of x in the equation 3 - 2%-15%?a-6b-2c2d6​

What is the value of x in the equation 3 - 2%-15%?a-6b-2c2d6