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2 years ago

6

An angle measures 146° more than the measure of its supplementary angle. What is the measure of each angle?

1 answer:

ziro4ka [17]2 years ago

8 0

Answer:

163 degrees and 17 degrees

Step-by-step explanation:

x+y = 180

x-y = 146 then x = 146+y

substitute for x

146+y+y = 180

2y = 34

y = 17

x = 17+146 = 163

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Someone please explain the difference of Multiples and Factors as well as an example.

Jlenok [28]

Answer:

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder.

Example:

2 is a factor of 8.

8 is a multiple of 2.

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

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2 years ago

What is the equation of the following line written in general form? (The y-intercept is 7.)

Viktor [21]

Answer:

<h2>3x - y + 7 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

$1=-2m+7$ <em>subtract 7 from both sides</em>

$-6=-2m$ <em>divide both sides by (-2)</em>

$3=m\to m=3$

We have the equation:

$y=3x+7$

Convert it to the general form $Ax+By+C=0$ :

$y=3x+7$ <em>subtract 3x and 7 from both sides</em>

$-3x+y-7=0$ <em>change the signs</em>

$3x-y+7=0$

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3 years ago

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Brilliant_brown [7]

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2 years ago

Read 2 more answers