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3 years ago

Please please help please please

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

25 degrees

Step-by-step explanation:

The sum of the 80 and 55 degree angles and the unknown angle x must be 180 degrees. Thus, x + 80 + 55 = 180, or x + 155 = 180, or x = 25.

x is 25 degrees.

This is based upon the "corresponding angles" principle. Lines AB and CD are parallel and are intersected by the longer diagonal line if we extend this line past the 80 and 55 degree angles.

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Elodia [21]

Question:

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow. She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the amount of yellow paint. Make a diagram to show the ratio of blue paint to yellow paint

Answer:

The ratio of blue paint to yellow paint is 3 : 1

Solution:

Let "x" be the amount of blue paint in ounces

Let "y" be the amount of yellow paint in ounces

She used a total of 8 ounces of fabric paint

Therefore,

x + y = 8 -------- eqn 1

The amount of blue paint is 3 times the amount of yellow paint

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

Substitute eqn 2 in eqn 1

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

Substitute y = 2 in eqn 2

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

Find the ratio

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

$\frac{x}{y} = \frac{6}{2} = \frac{3}{1}$

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below

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