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Lisa [10]
3 years ago
13

Find the value of x in each Figure. Please help, thank you!!

Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

#5  39 = x

Sides:

x - 15

2x

2x

Total of sides = 180

180 = (x-15) + 2x + 2x

180 = x - 15 + 4x  

180 = -15 + 5x     (add 15 to each side to remove -15)

195 = 5x     (divide by 5 on each side to get x)

39 = x

#7  24 = x

Sides:

2x - 4

3x + 5  

2x + 11

Total of sides = 180

180 = (2x - 4) + (3x + 5) + (2x + 11)

180 = 2x - 4 + 3x + 5 + 2x + 11

180 = 7x + 12      (subtract 12 to each side to remove 12)

168 = 7x      (divide by 7 on each side to get x)

24 = x

#8  37 = x

Sides:

x

x + 4

3x - 9

Total of sides = 180

180 = (x) + (x + 4) + (3x - 9)

180 = x + x + 4 + 3x - 9

180 = 5x - 5      (add 5 to each side to remove -5)  

185 = 5x      (divide by 5 on each side to get x)

37 = x

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that:

Number of gumdrops = 420

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To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers p and q.

Then to find the ratio p:q , we need to divide p by q and represent it in the simplest form \frac{a}{b} such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

\dfrac{70}{28}

Now, let us divide the numerator and denominator by 14:

\dfrac{5}{2}

So, the ratio is <em>5 : 2</em>

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