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2 years ago

Use the figure to answer the questions.

Mathematics

1 answer:

Advocard [28]2 years ago

4 0

Answer:

a) Triangle ABE is similar to Triangle DCE by Angle-Angle-Angle postulate.

b) 4 cm

Step-by-step explanation:

a) angle A = angle D

And

angle B = angle C

(Alternate angles)

Angle AEB = Angle DEC

(Vertically opposite angles)

All three angles are equal, hence triangles are similar

AB/DC = AE/DE

6/15 = y/10

y = 6×10/15

y = 4

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3 years ago

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2 years ago

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torisob [31]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Find the size of angle YZX

Tasya [4]

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

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Leg XY = 7.5 cm

By the Pythagorean theorem,

$XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm$

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3 years ago