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2 years ago

7

a triangle has verticals A(-5,-4), B(2,6), C(4,-3) The center of dilation is the origin and (x,y) (3x,3y). what are the vertices

of the dilated image

1 answer:

Gnom [1K]2 years ago

6 0

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

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A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is

34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be $x.$

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, $x$ is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

$\frac{68}{54} =\frac{x}{18}$

<em>By cross multiplying we get:</em>

<em /> $1224=54x$ <em />

<em>Dividing both sides by 54 we get:</em>

$22.67=x$

$x=22.67\ ft.$

Therefore, the height of the tree is 22.67 ft.

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3 years ago

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