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abruzzese [7]
2 years ago
13

Solve each one step equation, use your answers to navigate through the maze. Show your work on a separate page​

Mathematics
2 answers:
SashulF [63]2 years ago
8 0

Answer:

Step-by-step explanation:

<em>START:</em> 4x + 10 = - 26 ⇔ 4x = - 36 ⇔ <em>x = - 9</em>

\frac{1}{2} x + 13 = 9 ⇔\frac{1}{2} x = - 4 ⇔ <em>x = 8</em>

\frac{3}{4} x - 9 = 27 ⇔ \frac{3}{4} x = 36 ⇔ <em>x = 48</em>

9 - 2x = 35 2x = - 35 + 9 ⇔ <em>x = - 13</em>

\frac{2}{3} x + 15 = 17 ⇔ \frac{2}{3} x = 2 ⇔ <em>x = 3</em>

- 5x - 10 = 10 ⇔ 5x = - 20 ⇔ <em>x = - 4</em>

Now is your turn. You can do it!!!

Marina86 [1]2 years ago
4 0

Answer:

Look in the picture;^_^

Start;

4x + 10 =  - 26 \\ 4x =  - 26 - 10 \\ 4x =  - 36 \\  \\ x =  \frac{ - 36}{4}  \\  \\ x =  - 9

To —> – 9

\frac{1}{2} x + 13 = 9 \\  \\  \frac{1}{2} x = 9 - 13 \\  \\  \frac{1}{2} x =  - 4 \\  \\ x =  - 4 \div  \frac{1}{2}  \\  \\ x =  - 4 \times 2 \\ x =  - 8

To —> – 8

\frac{x}{3}  + 10 = 15 \\  \\  \frac{x}{3} = 15 - 10 \\  \\  \frac{x}{3}   = 5 \\  \\ x = 5 \times 3 \\ x = 15

To —> 15

9 - 2x = 35 \\ 2x = 9 - 35 \\ 2x =  - 26 \\ x =  \frac{ - 26}{2}  \\  \\ x =  - 13

To —> – 13

\frac{2}{3} x + 15 = 17 \\  \\  \frac{2}{3} x = 17 - 15 \\  \frac{2}{3} x = 2 \\ x = 2 \div  \frac{2}{3}  \\ \\  x = 2  \times  \frac{3}{2}  \\  \\ x = 3

To —> 3

- 5x - 10 = 10 \\ 5x =  - 10 - 10 \\ 5x =  - 20 \\  \\ x =  \frac{ - 20}{5}  \\  \\ x =  - 4

To —> – 4

- 8 =  \frac{x + 11}{ - 2}  \\  \\ x + 11 =  - 2 \times  - 8 \\ x + 11 = 16 \\ x = 16 - 11 \\ x = 5

To —> 5

- 12x - 17 =  - 89 \\  12x =89 - 17 \\ 12x = 72 \\ x =  \frac{72}{12}  \\ \\  x = 6

To —> 6

8 -  \frac{1}{3} x = 16 \\  \frac{1}{3} x = 8 - 16 \\  \frac{1}{3} x =  - 8 \\ x =  - 8 \div  \frac{1}{3}  \\ \\  x =  - 8 \times 3 \\ x =  - 24

To —> – 24

5 - x = 12 \\ x = 5 - 12 \\ x =  - 7

To —> – 7

13 -  \frac{3}{2} x = 37 \\  \\  \frac{3}{2}x = 13 - 37 \\  \\  \frac{3}{2}  x =  - 24 \\  \\ x =  - 24 \div  \frac{3}{2}  \\  \\ x =  - 24 \times  \frac{2}{3}  \\  \\ x =  - 16

To —> – 16

<h3>END! ^_^</h3>

I hope I helped you^_^

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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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Step-by-step explanation:

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