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murzikaleks [220]
2 years ago
5

Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​

Mathematics
1 answer:
seropon [69]2 years ago
5 0

Answer:

The slope remains a constant m=\frac{5}{3} as it is parallel.

Explanation:

1. Line Q is defined as a slope of \frac{5}{3}; i.e. y=\frac{5}{3}

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

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How many centimeters are there in 740.2<br> millimeters?
Anna11 [10]

Answer:

There are 74.2 Centimeters

Step-by-step explanation:

If you take 740.2 millimeters and divide it by 10 you well get 74.2 centimeters

5 0
3 years ago
Simplify the expression.<br><br> (–2 – c)(–1)
Akimi4 [234]

Answer: 2+c

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

4 0
3 years ago
Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.
madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

Learn more about Amortization at;
brainly.com/question/10561878
#SPJ1

3 0
1 year ago
HELP++++++++++++++++++++++++
lys-0071 [83]

Answer:

ASA

ΔFGH ≅ ΔIHG ⇒ answer B

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ  

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets prove the two triangles FGH and IHG are congruent by on of

 the cases above

∵ FG // HI and GH is transversal

∴ m∠FGH = m∠IHG ⇒ alternate angles

- In the two triangles FGH and IHG

∵ m∠FHG = m∠IGH ⇒ given

∵ m∠FGH = m∠IHG ⇒ proved

∵ GH = HG ⇒ common side

∴ ΔFGH ≅ ΔIHG ⇒ ASA

* ASA

 ΔFGH ≅ ΔIHG

3 0
3 years ago
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
kotykmax [81]

Answer:  Last one is right  C = 5 / 9 (F-32)

Step-by-step explanation: Solving  C from equation F = (9/5)C + 32 :

1. multiply by 5     you get   5F = 9C + 160  and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

8 0
2 years ago
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