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Natalka [10]
3 years ago
9

Explain which property of equality is used to arrive at the conclusion for the following if x=4 then x+12=16

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
<h2>Answer:</h2>

<u>The property is </u><u>addition property</u>

<h2>Step-by-step explanation:</h2>

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

For instance

if a−b = c, then a−b+b = c+b, or a=c+b

The same goes to the given problem too  if x=4 then x+12=16

balandron [24]3 years ago
3 0
<h2>Hello!</h2>

The answer is: the addition property

<h2>Why?</h2>

Addition property states that:

if: a=b

Then,

a+c=b+c

So,

Let:

a=x=4\\b=4\\c=12

So,

x+12=b+12\\4+12=4+12\\16=16

Have a nice day!

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Two ratios that are equivalent to 2 : 9
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4 : 18, 8 : 36

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Please help! Find the equation of the line and I will mark as brainliest IF answer is right. &lt;3
Hoochie [10]
<h3>Answer:  y = (3/4)x + 13/4</h3>

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

==========================================================

Explanation:

One marked point on this line is (-3,1)

Another point is at (1,4)

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (4-1)/(1-(-3))

m = (4-1)/(1+3)

m = 3/4

m = 0.75

Now let's use point slope form to find the equation of the line

y - y1 = m(x - x1)

y - 1 = 0.75(x - (-3))

y - 1 = 0.75(x + 3)

y - 1 = 0.75x + 2.25

y = 0.75x + 2.25 + 1

y = 0.75x + 3.25

If you wanted, you can convert those decimal values to fraction form

  • 0.75 = 75/100 = 3/4
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That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4

4 0
2 years ago
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