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3 years ago

15

Write an equation to solve each problem and then solve it. The sum of three consecutive integers is 54. Find the integers. if th

e smallest integer is x, what will the equation be?

1 answer:

likoan [24]3 years ago

7 0

Answer:

It is 17,18 and 19

Step-by-step explanation:

Consecutive numbers are

x, x+1, x+2

x+x+1+x+2=54

3x+3=54

-3 -3

3x=51

x=17

17

17+1=18

17+2=19

17, 18 and 19

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<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

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$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

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