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jek_recluse [69]
3 years ago
9

Determine the value of x

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0

Answer:

The value of x is 12 feet

Step-by-step explanation:

The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.

To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.

Area of rectangle = length X breadth

Area of triangle = 1/2 base X height.

However, to calculate the area of the triangle, we need to find its height first.

The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.

Height of triangle = 16 ft - 10 ft = 6 ft

recall area = 156 square feet.

We now have most of our missing dimensions

We can now set up an equation as follows:

(10 \times x) +0.5 \times x \times 6 = 156

10x +3x=156\\13x=156\\x=12 feet

Therefore the value of x is 12 feet

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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
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2x − 7(−3x − 17) = 4

Step-by-step explanation:

Given in the question two equations

<h3>Equation 1</h3>

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answer as a mixed number if possible. A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl8a week, how many gra
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<em>7 grams of sugar</em>

<h2>Explanation:</h2>

________________________________________

I'll assume your answer is as follows:

<em>A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl a week, how many grams of sugar would he have eaten?</em>

________________________________________

If so, then we know that:

  • A bowl of cereal had 3 3/6 grams of sugar in it.
  • Victor ate 2 bowl a week

In other words, the total of sugar he ate can be calculated as:

3\frac{3}{6}\times2 \\ \\ Converting \ mixed \ fraction \ into \ improper \ fraction: \\ \\ =(3+\frac{3}{6})\times2 \\ \\ =(\frac{3(6)+3}{6})\times 2 \\ \\ =(\frac{21}{6})\times 2 \\ \\ =(\frac{7}{2})\times 2 \\ \\ =7

So <em>he'd have eaten 7 grams of sugar</em>

<h2>Learn more:</h2>

Mixed numbers: brainly.com/question/383603

#LearnWithBrainly

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