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sertanlavr [38]
3 years ago
11

If 24 is subtracted from three times a certain number, the result is 3/2 the original number. what is the number?

Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0
24 subtracted from three times a number would be modeled by 3x-24. inhis problem we are settingit equal to 3/2 (or 1.5 because 3/2=1.5) so 3x-24=1.5
add 24 to each side
so 3x=25.5
divide both sides by 3
so x = 8.5
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Answer:

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Reason: Look below.

Step-by-step explanation:

Hey there!

When we look into the figure, we find that;

For x:

x+ 2x + 90° = 180° {Being linear pair}

or, 3x = 180°-90°

or, 3x = 90°

or, x= 90°/3

<u>Therefore, X = 30°.</u>

For y :

2y = x = 30° {Alternate angles are equal}

or, 2y = 30°

y = 30°/2

<u>Therefore, y = </u><u>1</u><u>5</u><u>°</u>

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2y + z = 180° { Being linear pair}

or, 30°+z = 180°

or, z = 180°-30°

or, z = 150°

<u>Therefore, z = 150°.</u>

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