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masya89 [10]
3 years ago
12

In the figure, triangle ABC is congruent to triangle ADC . If the square ABCD is dilated by a factor of 2 to form A'B'C'D', what

is the ratio of the area of A'B'C'D' to the area of ABCD?
a.) 2 : 1

b.) 3 : 1

c.) 4 : 1

d.) 5 : 1
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0
Its 4:1 hope this helps you out.
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Can someone help me with this question ? Show steps please
jek_recluse [69]

Answer:

B) \boxed{A_T=108\;in^2}

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}

Finally, we sum both of the areas found to calculate the total area.

A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}

So, the answer is option B).

4 0
3 years ago
Which shows how to rewrite 4 x 47<br> using the Distributive Property?
mash [69]

Answer:

C

Step-by-step explanation:

Something that is 17 more than r means that it is r + 17.

Therefore, the answer is C, r + 17.

<em>Hope that helps!</em>

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Give a real-life situation for the sum. (will mark brainiest!!)
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Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

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1 year ago
A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi
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The coordinates would be (3, 3).

The slope from R to S is given by

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The distance from R to S is 5 units straight across.

This means the slope from T to U will be 0, and it will be a horizontal segment.  This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.

The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.

This makes the point (3, 3).
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3 years ago
wind turbines generate large amounts of electricity from wind energy. the blades on a wind turbine can revolve 22 times per minu
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Answer:

1320 times  

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