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3 years ago

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics

2 answers:

Elina [12.6K]3 years ago

8 0

Answer: The required value of x is 7.5.

Step-by-step explanation: Given that the triangles shown in the figure are similar by AA similarity postulate.

We are to find the value of x.

We know that the corresponding sides of the similar triangles are proportional.

From the figure, we see that two pairs of corresponding sides in the triangles are (4.5, 3) and (x, 5).

Therefore, we must have

$\dfrac{4.5}{3}=\dfrac{x}{5}\\\\\\\Rightarrow x=\dfrac{4.5\times5}{3}\\\\\Rightarrow x=1.5\times5\\\\\Rightarrow x=7.5.$

Thus, the required value of x is 7.5.

timofeeve [1]3 years ago

3 0

Hello!

4/5 = (4 + 8)/x
4x = 5(12) = 60
x = 60/4 = 15

I hope this helps!

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3 years ago

Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor

Alex787 [66]

The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

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the lengths of the sides of BRAD are:

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The lengths of the sides of KELY are:

$\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}$

Each side of KELY is twice the length of the corresponding side on BRAD. This makes the ratio of the sides 2:1 and the figures are similar.

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2 years ago

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Greeley [361]

Answer:

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Step-by-step explanation:

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now we have :

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___ = 20

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2 years ago

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Marat540 [252]

Answer:

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divide all through by (-) sign, this gives y= x - 8

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