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3 years ago

Eighteen less than three times a number is twice the number. Write and solve

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

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Answer:

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Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

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What we're given:

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The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

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Substituting given values:

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Since $\angle JKP=\angle LKP$ ,

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2 years ago

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Answer:

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Step-by-step explanation:

We fist of all open the brackets.

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