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2 years ago

What is the length of DE?

Mathematics

1 answer:

g100num [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Yes

Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.

∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Prove: ∠A ~= ∠C.

Statements Reasons

1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given

2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary

3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality

4. m∠A = m∠C Substitution (step 3)

5. ∠A ~= ∠C Definition of ~=

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Snow is falling at a rate of 2.5 inches per hour.At this rate, how long will it take 8 inches of snow to fall?

jeyben [28]

Answer:

It will take 3.2 hours for 8 inches of snow to fall.

Step-by-step explanation:

You can solve this be going "backwards".

You have 2.5 inches of snow falling per hour for x hours until you get 8 inches of snow, which can be represented like this:

2.5x=8 From here you being to solve by isolating x on one side of the equation. You would divide both sides by 2.5 to do this

2.5x=8

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8 divided by 2.5 is 3.2 and you then get

x=3.2

It takes 3.2 hours for 8 inches of snow to fall

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2 years ago

Eli's family starts with 2 whole pizzas. they eat 1 3/8 pizzas. how much pizza do they have left?

Tresset [83]

The Correct Answer Is...

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2 years ago

If John's home is worth $145,300, how much is his coverage for living expenses if insurance covers 20 percent?

suter [353]

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2 years ago

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posledela

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Step-by-step explanation:

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the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank the gauge read 3/4 full. How many mo

Nostrana [21]

So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)

So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8

So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)

15 = 5/8n
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