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3 years ago

name the theorem or postulate that lets you conclude triangle ABD is congruent to triangle CBD with only one additional step

Mathematics

1 answer:

evablogger [386]3 years ago

4 0

Answer:

The answer is the first one ⇒ AAS

Step-by-step explanation:

∵ DB ⊥ AC

∴ m∠DBA = m∠DBC = 90° ⇒ (1)

∵ m∠A = m∠C ⇒ (2) given (from figure)

∵ DB is a common side in the two Δ ⇒ (3)

From (1) , (2) and (3)

∴ Δ ABD is congruent to Δ CBD ⇒ AAS

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Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length. A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

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3 years ago

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neonofarm [45]

Did you figure it out yet? lol

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3 years ago

Find the measure of each angle indicated. Round to the nearest tenth.

Sladkaya [172]

Answer:

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

$\sin(\theta)=opp/hyp$

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

$\sin(\theta)=10.2/15$

Solve for θ. Use a calculator:

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2 years ago

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KonstantinChe [14]

Answer:

$\frac{3375}{512}$ or ≈6.59

Step-by-step explanation:

We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.

Take $25\frac{3}{2}$ for example. The '2' in the fraction means we must take the square of 25. √25 = 5.

The '3' in the fraction means we take the power, which means we must cube '5'.

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$25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16$

The new fraction would look like:

$\frac{125 * 27}{32 * 16}$

Which simplifies to:

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Answer:

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