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IrinaK [193]
3 years ago
7

What is the length of DE?

Mathematics
1 answer:
g100num [7]3 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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Which type of energy transformation occurs in photosynthesis?
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Answer:

Light to chemical

Step-by-step explanation:

Photosynthesis is a transformation of light to chemical energy because energy from the sun is absorbed and then made into glucose for the plant.

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Show how to solve 2x+5=13, justify the steps
liberstina [14]

Answer:

The answer is 4

Step-by-step explanation:

2x + 5 = 13

Now, Subtract 5 from both side we get,

2x + 5 - 5 = 13 - 5

2x = 8

Then, Divide both side by 2 we get,

2x/2 = 8/2

x = 4

Thus, The answer is 4

<u>-TheUnknownScientist</u><u> 72</u>

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How likely is it that you will land on a yellow space? A) certain B) impossible C) probable D) unlikely
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Answer:

Step-by-step explanation:

It would be c cause it is possible to land on yellow

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I need help with this, please! I need to solve this using inverse operation to isolate the variable.
Otrada [13]
Since the inverse property of subtraction is addition, wouldn’t you add n on both sides so then the value of n=0?
5 0
2 years ago
1. Jack and Jill purchased a $125,000 house making a 20% down payment and paying the closing
kherson [118]

Answer:

The month payment amount is $897.589

Interest amount is $61,566

Step-by-step explanation:

Given as :

The price of the house = $125,000

The down payment amount for house = 20% of total price

i.e The down payment amount for house = 20% × $125,000

Or, The down payment amount for house = \dfrac{20}{100} × $125,000

Or, The down payment amount for house = $25,000

Now, Balance amount = total price - down payment

Or, Balance amount = $125,000 - $25,000

Or, Balance amount = $100,000

So, The balance amount is bring finance

The finance principal amount = p = $100,000

The rate of interest applied = r = 3.25%

The time period of mortgage = t = 15 years = 15 × 12 = 180 months

Let The Amount of mortgage after 15 years = $A

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $100,000 × (1+\dfrac{\textrm 3.25}{100})^{\textrm 15}

Or, A = $100,000 × (1.0325)^{15}

Or, A = $100,000 × 1.61566

Or, A = $161,566

So,The Amount of mortgage after 15 years = $161,566

Interest applied = Amount - principal

Or, I = $161,566 - $100,000

∴ Interest = $61,566

<u>Again</u>

The month payment amount = \dfrac{\textrm amount after 15 years}{number of months of mortgage}

i.e The month payment amount = \dfrac{161566}{180}

Or, The month payment amount = $897.589

Hence The month payment amount is $897.589 and interest amount is $61,566  . Answer

6 0
3 years ago
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