The value of x is 8 from the diagram given.
<h3>How do you calculate the sides of similar triangles?</h3>The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
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First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds
<u>Step-by-step explanation:</u>
Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:
We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.
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The third box contained two more pounds than the first box i.e.
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The last box contained one-fourth the amount in the second box i.e.
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Therefore , Sum of pounds of candy are :
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Therefore , Candy in each box is :
First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds