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3 years ago

What is the value of X?

Mathematics

2 answers:

Ilya [14]3 years ago

8 0

Answer:

I think x equals 12.

Step-by-step explanation:

First set it up:

5x-22+3x+2+4x-10=

Group terms together:

5x+3x+4x-22+2-10

Combine like terms or add and subtract them either one you have to do:

12x-30 is what you get, so I think the value of x is 12.

Hope this helps, sorry if not, have a good day. c;

Troyanec [42]3 years ago

3 0

All three sides of the triangle are the same so youcan set two of the equations equal to each other and solve for x:

4x-10 = 3x +2

Add 10 to each side:

4x = 3x + 12

Subtract 3x from each side:

x = 12

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Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

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Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

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From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

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