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Rom4ik [11]
3 years ago
9

Tell whether the angles are adjacent or vertical. Then find the value of x.

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

  x = 63°

Step-by-step explanation:

~ They are adjacent angles because they have a common (one) vertex.

~ To find the value of x we must make an equation.

Angles on a straight line add up to 180°.

  117 + x = 180

  x = 180 - 117

  x = <u>63°</u>

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The biggest among three numbers is 2.4 larger than the smallest one. If 15 times the smallest one is equal to 12 times the secon
g100num [7]

Answer:

18

Step-by-step explanation:

Let x represent smallest number and y represent second number.

We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be x+2.4.

We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:

15x=12y...(1)

15x=10(x+2.4)...(2)

Upon solving 2nd equation, we will get:

15x=10x+24

15x-10x=10x-10x+24

5x=24

x=\frac{24}{5}

x=4.8

Therefore, the smallest number is 4.8.

The biggest number would be x+2.4\Rightarrow 4.8+2.4=7.2.

Upon substituting x=4.8 in equation (1), we will get:

15(4.8)=12y

72=12y

y=\frac{72}{12}

y=6

Therefore, 2nd number would be 6.

Let us find sum of all numbers as:

4.8+6+7.2=18

Therefore, the sum of all 3 numbers would be 18.

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2 years ago
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