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Anit [1.1K]
3 years ago
10

What are the answers to 1 2 and 3?

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Find the Least Common Denominator (LCD) of \frac{1}{2},\frac{1}{3}

2

1

​

,

3

1

​

. In other words, find the Least Common Multiple (LCM) of 2,32,3.

LCD = 66

2 Make the denominators the same as the LCD.

\frac{1\times 3}{2\times 3}-\frac{1\times 2}{3\times 2}

2×3

1×3

​

−

3×2

1×2

​

3 Simplify. Denominators are now the same.

\frac{3}{6}-\frac{2}{6}

6

3

​

−

6

2

​

4 Join the denominators.

\frac{3-2}{6}

6

3−2

​

5 Simplify.

\frac{1}{6}

6

1

​

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Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
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Answer:

29

Step-by-step explanation:

x+11÷8=5

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S the following statement always, sometimes, or never true?
liubo4ka [24]

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
  • The two angles could be right angles or one of them is acute and the other is obtuse
  • The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

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