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2 years ago

Point D is the midpoint of AB and point E is the midpoint of BC. Select all of the statements to the right that must be true.

Mathematics

1 answer:

kirza4 [7]2 years ago

3 0

Answer + Step-by-step explanation:

» ABC ≅ DBE

» DE // AC

(properties of the mid-segment of a triangle)

» Length of DE = 1/2 length of AC

(properties of the mid-segment of a triangle)

» ∠BDE = ∠DAC

(Corresponding angles)

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Jan buys 5 yards of blue fabric then she buys 2 feet of red fabric and 4 feet of green fabric how many inches of fabric does Jan

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3 years ago

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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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3 years ago

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mojhsa [17]

Answer:

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}$

Step-by-step explanation:

Given

$(\frac{6}{10})^3 * (\frac{5}{9})^2$

Required

Solve:

$(\frac{6}{10})^3 * (\frac{5}{9})^2$

Simplify 6/10

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2$

Express 9 as 3^2

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2$

Apply law of indices

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}$

Express as a sing;e fraction

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}$

Apply law of indices:

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}$

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3 years ago