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Svetach [21]
3 years ago
12

Two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is

30 degrees more than one-half of the larger.
step by step please
Mathematics
1 answer:
kaheart [24]3 years ago
8 0
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
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Sheila is flying a kite with 250 feet of her string let out. The angle the kite line makes with a line parallel to the ground is
Svetach [21]
The altitude of the kite:
h = 5 + 250 · sin 45°
h = 5 + 250 · √2 / 2
h = 5 + 250 · 0.7071 = 5 + 176.77 = 181.77 ≈ 182 ft
Answer: The altitude is 183 ft.
8 0
3 years ago
Read 2 more answers
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 pain
Elodia [21]

<em><u>Question:</u></em>

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

<em><u>Answer:</u></em>

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

<em><u>Solution:</u></em>

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

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

<em><u>She used a total of 8 ounces of fabric paint</u></em>

Therefore,

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

<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>

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

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

<em><u>Substitute eqn 2 in eqn 1</u></em>

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

<em><u>Substitute y = 2 in eqn 2</u></em>

x = 3(2)

x = 6

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

<em><u>Find the ratio </u></em>

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

4 0
3 years ago
Can someone help me with all 3
monitta

Answer:

1) 20

2) 60

3) 10

4) 90

Step-by-step explanation:

1. first quartile is the beginning of the box

2. third quartile is the end of the box

3. lowest is the first point of the graph

4. vice versa of 3

6 0
3 years ago
13. Mis the midpoint of PR, PM = 2x + 5, and MR = 4x – 7. Solve for x and find PR.
enyata [817]

Add 2x + 5 and 4x - 7

Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.

By doing the inverse operation.

If you add ___ you subtract ____ it form itself

If you subtract ___ you add ____ To itself.

So you Cancel out by getting rid of the other numbers.

Same thing with multiplying and dividing.

If you multiply ____ you divide___ but don’t divide “x”

Only the integer.

If you divide _____ you multiply ____ it

8 0
3 years ago
don walked 3 3/5 miles on Friday, 3.7 miles on saturday, and 3 5/8 miles on sunday. list the distances from least to greatest
astraxan [27]

Solution:

we are given that

Don walked 3 3/5 miles on Friday

It can be re-written as

3\frac{3}{5}miles=\frac{18}{5}= 3.6miles

3 5/8 miles on sunday.

It can be re-written as

3\frac{5}{8}miles=\frac{29}{8}= 3.625miles

an d He walk 3.7 miles on satarday.

The distances from least to greatest is  3.6, 3.625, 3.7

or

The distances from least to greatest is  3\frac{3}{5}miles, 3\frac{5}{8}miles, 3.7 miles.

8 0
3 years ago
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