An angle measures seventeen more than three times a number. its supplement is three more than seven times the number. what is the measure of each angle?

If the angles are supplementary angles, that means that they add up to be 180˚.

Angle A is 3x+17 (17 more than 3 times a number) and Angle B is 7x+3 (3 more than 7 times the number).

Both of these added together is equal to 180, so you get: 3x+17+7x+3=180

Combine like terms and get: 10x+20=180

Subtract 20 from both sides: 10x=160

Divide both sides by 10: x=16

Now you have your number.

To find the angles, plug the number back into the statements.

Angle A: 3(16)+17=65˚

Angle B: 7(16)+3=115˚

Check to make sure they add up to equal 180: 65+115=180 √

And you're done!

- hope this helps!:)

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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