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2 years ago

In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3

Mathematics

2 answers:

Wittaler [7]2 years ago

7 0

Answer:

The answer would be: C. ∠DFE is congruent to ∠GFH.

Step-by-step explanation:

sineoko [7]2 years ago

6 0

The answer would be: C. ∠DFE is congruent to ∠GFH.

From the question, it is stated that the ratio of DF/GF and EF/HF would be 1:3. The ratio of two sides is already same so you can fulfil the two side criteria from SAS. The remaining is only the angle that should be between those two sides. The angle of DFE should be same with GFH

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Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest

olga55 [171]

Answer:

$869,776

Explanation:

1. Mortgage table

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

$22\%\times \$ 426,000=\$ 93,720$

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

$\$ 6.74\times 322,280/1,000=\$ 2,239.57$

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

$\$ 2,239.57\times 240=\$ 537,496.13$

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

6 0

2 years ago

Read 2 more answers

Use the discriminant to answer the questions. 32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions

sp2606 [1]

One real, rational, Option A

8 0

2 years ago

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-4x = -1/2 ( 10x + 18 ) can anyone coment

Ksju [112]

-4x = -5x - 9
9 = x

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6 0

2 years ago

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s.Lewis has a net spendable income of $2,000 per month. He sets up the following transportation budget for himself. 3. Transport

shtirl [24]

Answer:

D.He has not budgeted for all of the expenses in the subcategories.

Step-by-step explanation:

Transportation Budget : 400

a. Car payments 210

b. Gas/Oil 120

c. Insurance 60

d. License/Registration 8

e. Taxes 2

f. Maintenance/Repair

Lewis did not budget the Maintenance/Repair subcategory, because there is no price or cost indicator next to it.

Therefore, the corrct answer is option

D.He has not budgeted for all of the expenses in the subcategories.

4 0

2 years ago

A set of positive integers {1, 2 , 3 , 4, 5 , 6 , 7 , 8 , 9} is used to form a pack of nine cards. each card displays one positi

ivanzaharov [21]

If the largest integer drawn among the four cards is 5, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4}. The number of ways of selecting 3 cards from 4 cards is given by:

$^4C_3=4$

If the largest integer drawn among the four cards is 6, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4, 5}. The number of ways of selecting 3 cards from 5 cards is given by:

$^5C_3=10$

If the largest integer drawn among the four cards is 7, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4, 5, 6}. The number of ways of selecting 3 cards from 6 cards is given by:

$^6C_3=20$

Therefore, the number of selections grace could make if the largest integer drawn among the four cards is either a 5, a 6 or a 7 is given by 4 + 10 + 20 = 34 selections.

6 0

2 years ago