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BARSIC [14]
3 years ago
14

Prove that ΔABC and ΔEDC are similar.

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer:

∠DCE is congruent to ∠CBA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.

Step-by-step explanation:

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yuradex [85]

Answer: 8

Step-by-step explanation:

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4 0
3 years ago
Tanya has a garden with a trench around it .The garden is a rectangle with length 2 1/2m and width 2 m.
Hunter-Best [27]

The area of the trench is  5 \frac{1}{2} m²

Step-by-step explanation:

Tanya has a garden with a trench around it

  • The garden is a rectangle with length 2 \frac{1}{2} m and width 2 m
  • The trench and garden together with length 3 \frac{1}{2} m and width 3 m

We need to find the area of the trench

The area of the trench is the difference between the area of the garden with the trench and the area of the garden

The formula of the area of a rectangle is A = length × width

∵ The garden is a rectangle with length 2 \frac{1}{2} m and width 2 m

∴ Length = 2 \frac{1}{2} m

∴ Width = 2 m

Find the area of the garden

∴ A = 2 \frac{1}{2}  × 2 = 5 m²

∵ The trench and garden together with length 3 \frac{1}{2} m and width 3 m

∴ Length = 3 \frac{1}{2} m

∴ Width = 3 m

Find the area of the garden with the trench

∴ A = 3 \frac{1}{2}  × 3 = 10

The area of the trench = area of the garden with the trench - area of the garden

∴ The area of the trench = 10 \frac{1}{2}  - 5 = 5

The area of the trench is  5 \frac{1}{2} m²

Learn more:

You can learn more about the area of rectangles in brainly.com/question/6564657

#LearnwithBrainly

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3 years ago
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Answer:

The answer is 44 cm^2

I hope it helps

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I think it’s going to be 60
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Find the length of the third side. If necessary, write in simplest radical form.
melisa1 [442]

\text{Apply Pythagorean theorem,}\\\\~~~~~~~~\text{Hypotenuse}^2=\text{Base}^2 + \text{Perpendicular}^2\\\\\implies 9^2 = \text{Base}^2 + \left(2\sqrt{14} \right)^2\\\\\implies 81 = \text{Base}^2 + 56\\\\\implies \text{Base}^2 = 81-56\\\\\implies \text{Base}^2 = 25\\\\\implies \text{Base} = \sqrt{25}\\\\\implies \text{Base} = 5\\\\\text{The length of the third side is 5 units.}

4 0
2 years ago
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