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Vlad [161]
2 years ago
8

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

AB/XY = AC/XZ = BC/YZ = 5

hope this helps

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If tan θ=3\4 , find csc
Rom4ik [11]

In a rectangular triangle \tan\theta\dfrac{opposite}{adjacent}.

We have \tan\theta=\dfrac{3}{4}

Therefore opposite = 3uints and adjacent = 4units.

\csc\theta=\dfrac{hypotenuse}{opposite}

We need the length of hypotenuse.

Use the Pythagorean theorem:

h^2=3^2+4^2\\\\h^2=9+16\\\\h^2=25\to h=\sqrt{25}\to h=5units

Substitute:

\csc\theta=\dfrac{5}{3}

3 0
4 years ago
A sample of 14 cans of Brand I diet soda gave the mean number of calories of 23 per can with a standard deviation of 3 calories.
dsp73

Answer:

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3 years ago
3 2/5 - 1 4/6 is equal to
Ivanshal [37]

Answer:

1 11/15

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3 years ago
Why must fire extinguishers be routinely maintained?
eduard

Answer: the answer would be To make sure they remain effective.

Step-by-step explanation:

It wouldn't be to make sure they are up to code because fire extinguishers do not use code, code is used in electronics. For the second option and the last option it would not be this because they could be trained in a practice instead of using the real thing.

7 0
3 years ago
Read 2 more answers
Can anyone answer
Lapatulllka [165]

Answer:

180 grams

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grams of dark chocolate= 200 % cocoa =60%

Grams of milk chocolate: 200 % cocoa=30%

Amount of cocoa in mixture:

(proportion of milk chocolate+ dark chocolate)

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