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JulijaS [17]
3 years ago
11

For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.^2. What should he do to the dimensions in

order to have a similar rectangle that's area is only 2 in.^2?
options:

Divide them by nine.

Divide them by six.

Divide them by three.

Multiply them by three.
Mathematics
2 answers:
san4es73 [151]3 years ago
8 0

We have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2

<em><u>Solution:</u></em>

Given that,

For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.^2

In order to have a similar rectangle that's area is only 2 in.^2

Thus, we need to find the scale factor

Let "c" be the scale factor

Let "x" be the area of original rectangle

Let "y" be the area of dilated rectangle

Therefore,

c = \frac{y}{x}\\\\c = \frac{2}{18}\\\\c = \frac{1}{9}

Therefore, we have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2

lapo4ka [179]3 years ago
4 0

Answer:

Divide them by three.

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Find the length of line segment UV.
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Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

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→ That means UV is joining the mid-points of two sides

∴ UV // OT

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∴ 7x - 8 = \frac{1}{2} (12x + 8)

→ Multiply the bracket by \frac{1}{2}

∵ \frac{1}{2} (12x + 8) =  \frac{1}{2} (12x) +  \frac{1}{2} (8) = 6x + 4

∴ 7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

∴ x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

∴ UV = 76

∴ The length of the line segment UV is 76 units

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