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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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Express each equation in the form y = mx + b: 5x + y – 3 = 0
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Answer:24

Step-by-step explanation:

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3 years ago
You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?
nevsk [136]

Answer:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

8 0
3 years ago
Ben is 444 times as old as Ishaan and is also 666 years older than Ishaan.
Roman55 [17]
Let B = age on Ben
and age of Ishaan =I
B =4I
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6 0
3 years ago
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side
lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

(20 x-2)^2 = (12x + 20)^2 + (25x)^2

Expand the bracket

400x^2- 4 = 144x^2 + 400 + 625x^2

Collect like terms

400x^2 - 144x^2 - 625x^2 = 400 + 4

-369x^2 = 404

Make x^2 subject

x^2 = \frac{404}{369}

x = \sqrt{1.0948}

x = 1. 046

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

#SPJ1

8 0
1 year ago
Daniel picked out a book to give his dad for his birthday. Daniel only has 63cents from his piggy bank. His mom said she would p
Sauron [17]

Answer:

$13.44

Step-by-step explanation:

Daniel's money + Mom's money = $12.81 + $0.63

That is $13.44.

Hope that helps!

5 0
3 years ago
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