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kherson [118]
2 years ago
14

Name the property of equality or congruence that justifies going from the first statement to the second statement

Mathematics
1 answer:
34kurt2 years ago
5 0

<em><u>Addition property of equality is used</u></em>

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

Given that,

We have to find the property of equality or congruence that justifies going from the first statement to the second statement

<em><u>Given is:</u></em>

3a - 6 = 54

3a = 60

It is clear that, addition property of equality is used

The property that states that if you add the same number to both sides of an equation, the sides remain equal

The equation remains to be true, if we add or subtract same number on both sides of equation

Therefore,

3a - 6 = 54

Add 6 on both sides of equation

3a - 6 + 6 = 54 + 6

3a = 54 + 6

3a = 60

Thus addition property of equality is used

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what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?
marshall27 [118]
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
Let the number be n.  Then 2n - ------- = 1
                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3.  Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
                            2(2)                                  4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
8 0
3 years ago
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lesya [120]

Answer:

there is no difference

Step-by-step explanation:

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2 years ago
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The table of values represents an exponential function ​f(x). What is the average rate of change over the interval −2≤x≤2? Enter
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Answer:

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Step-by-step explanation:

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Answer:

57 inches

Step-by-step explanation:

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8 0
3 years ago
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Ganezh [65]

Answer:

Step-by-step explanation:

they are opposite angles, so we put them equal to each other.

25.

6a+10= 130

6a=120    a=20   so now we plug it in 6(20) +10= 130

26.   4a-4=2a+30

      2a=34      a=17   sso now we plug in 4(17)-4= 64    2(17)+30= 64

27.    6y+1=4y+9                             2x-5=x+7

          2y=8                                      x=2

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now plug in 6(4)+1=25     4(4)+9=25     2(2)-5= -1     (2)+7=9

5 0
3 years ago
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