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Komok [63]
3 years ago
12

What is the value of the variables?

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

\frac{Big Side}{Big Side} =\frac{little side}{little side}

where Big represents the bigger triangle an little represents the smaller triangle.

\frac{8}{16}=\frac{w}{12+w}

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

\frac{8}{22}=\frac{12}{24+x}

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

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What is -5x + 15 = 35 - 10x
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Answer:

   x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -5*x+15-(35-10*x)=0

Pull out like factors :

             5x - 20  =   5 • (x - 4)

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Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

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Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

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My father's car travel on average 33.4miles on each gallon of petrol. How far will he travel on 55 gallons.
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2 years ago
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stiv31 [10]

Answer:

the perimeter is 28 and the area is 49

Step-by-step explanation:

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What is the perimeter of the triangle?
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Answer:

The perimeter will be 30

Step-by-step explanation:

Perimeter = all side lengths added

Step 1. Determine the length of the triangle

Answer: 5

Step 2. Determine the width of the triangle

Answer: 12

Step 3. Determine the diagonal line across the triangle

Answer + explanation:

For it to figure it out, we must use this method called Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

Where a = 12 b = 5 and c = the diagonal line

12^2 + 5^2 = c^2

144 + 25 = c^2

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The diagonal line measures 13 units

Step 4. Add all of the dimensions we just reviewed

Answer:

Length = 5

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Therefore, the perimeter is 30


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2 years ago
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