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alexgriva [62]
3 years ago
8

10 points if you solve this one problem.

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

150

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<1 + <2 = <3

3x+11 + 3x+19 = 7x+10

Combine like terms

6x+30 = 7x+10

Subtract 6x from each side

6x -6x+30 = 7x-6x+10

30 = x+10

Subtract 10 from each side

30-10 = x+10-10

20 =x

We need to find angle 3

<3 = 7x+10

    = 7(20)+10

    = 140+10

    = 150

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The linear equation that represents the <u>number of tiles in figure x</u> is given by:

y = 7x + 5

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A linear equation has the format:

y = mx + b

In which:

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

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  • Figure 0 has 5 tiles, that is, when x = 0, y = 5, thus b = 5
  • Seven new tiles in each figure, that is, a rate of change of 7, thus m = 7

The number of tiles in figure x is given by:

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A similar problem is given at brainly.com/question/16302622

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The distance from earth to sun is 387.5 times greater than distance from earth to moon.

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Given, the distance from Earth to the sun is about 9.3 \times 10^{7} \mathrm{miles}

The distance from Earth to the Moon is about 2.4 \times 10^{5} \mathrm{miles}

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Let the factor by which distance is greater be d.

\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

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