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SpyIntel [72]
2 years ago
7

DEF is a dilation image of ABC. What is the scale factor?

Mathematics
1 answer:
horsena [70]2 years ago
7 0

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

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Please help. Thank you. :)
adelina 88 [10]
Hello!

To find the lateral area you use the equation

\pi r \sqrt{ h^{2} + r^{2} }

You put in the values you know and you get 829.4

To find the surface area you use the equation

\pi r(r+ \sqrt{ h^{2} + r^{2} }

Put in the values you know and you get 1209.5

The answer is A

Hope this helps!
5 0
3 years ago
If f(x) = -2x + 7, find f(8)
anastassius [24]

Answer:

-9

Step-by-step explanation:

You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9

5 0
3 years ago
A pair of jeans costs $40 and sales tax is 5%?<br>how much is the total bill?
spin [16.1K]
42$ because 10 % is 4 dollars so that 5% cut that 4 in half witch made it 2
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=13%20%3D%20w%20-%2014%20%5Cdiv%202" id="TexFormula1" title="13 = w - 14 \div 2" alt="13 = w -
Daniel [21]
Your answer is going to be 21 u just subract from the number to get ur answer
6 0
3 years ago
If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.
Ksivusya [100]

Based on the calculations, the unknown number is equal to \frac{-45}{7}

  • Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

21 +x

Multiplying the result by 3:

3\times (21+x)

84 more than two-thirds of the unknown number:

\frac{2x}{3} +84

Equating the equations, we have:

3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84

Cross-multiplying, we have:

43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
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