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3 years ago

Which statements are always true regarding the diagram? Select three options.

Mathematics

2 answers:

dimaraw [331]3 years ago

7 0

Answer:

its the first three ,(ABC) i took the quiz on Edg

Step-by-step explanation:

Maurinko [17]3 years ago

4 0

Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3

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The following table shows a portion of a five-year amortization schedule. A 5-year amortization schedule. Loan amount or princip

kogti [31]

The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

Loan amount or principal: 10,900 dollars.

The interest rate on loan: 10. 95 percent.

The table will be

Month Payment Principal Interest Balance

15 236.72 155.87 80.85 8704.27

16 236.72 157.29 79.43 8546.98

17 236.72 158.73 77.99 8388.25

18 236.72 160.18 76.54 8228.07

19 236.72 161.64 75.08 80.66.43

20 236.72 163.11 73.61 7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

$\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx 32.6\ \%$

More about the percentage link is given below.

brainly.com/question/8011401

7 0

2 years ago

Please help me with this!!<br> Thank u

topjm [15]

Answer:

Step-by-step explanation:

Left

When a square = a linear, always expand the squared expression.

x^2 - 2x + 1 = 3x - 5 Subtract 3x from both sides

x^2 - 2x - 3x + 1 = -5

x^2 - 5x +1 = - 5 Add 5 to both sides

x^2 - 5x + 1 + 5 = -5 + 5

x^2 - 5x + 6 = 0

This factors

(x - 2)(x - 3)

So one solution is x = 2 and the other is x = 3

Second from the Left

i = sqrt(-1)

i^2 = - 1

i^4 = (i^2)(i^2)

i^4 = - 1 * -1

i^4 = 1

16(i^4) - 8(i^2) + 4

16(1) - 8(-1) + 4

16 + 8 + 4

Second from the Right

This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.

12 = 8a + b

<u>17 = 12a + b Subtract</u>

-5 = - 4a

a = - 5/-4 = 1.25

12 = 8*1.25 + b

12 = 10 + b

b = 12 - 10

b = 2

Now they want a + b

a + b = 1.25 + 2 = 3.25

Right

One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.

(2x - 2)^2 = 4x^2 - 8x + 4

4x^2 - 8x + 4 - 2x + 2

4x^2 - 10x + 6 The problem is factoring since neither of the first two equations work.

(2x - 2)(2x - 3) This is correct.

So the answer is D

5 0

2 years ago

How do u express a ratio as a decimal

Viktor [21]

Perform the indicated division ... divide the numerator by the denominator.
The quotient is the decimal form of the ratio.

6 0

3 years ago

What’s the answer and work for this? Please someone tell me

frutty [35]

Answer:11 hours

Step-by-step explanation:

you would add all three hours and then divide by 3 but first you would have to convert the minutes into hours so it would be 900/60 which is 15 so then you would do 8+10+15 / 3 which gives you 11

3 0

2 years ago

HELP!!!<br> With working out... what’s the values of a b and c<br><br> (2x+1)(ax+b)=(6x^2-5x+c)

Lady bird [3.3K]

Answer:

Step-by-step explanation:

(2x + 1)(ax + b) = 6x² - 5x + c

Expand the left side and put that half into standard form:

2ax² + 2bx + ax + b = 6x² - 5x + c

2ax² + (2b + a)x + b = 6x² - 5x + c

So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:

2a = 6

a = 3

Then look at the x terms, those coefficients will then be equal:

2b + a = -5

2b + 3 = -5

2b = -8

b = -4

and finally, then non-x terms are equal:

b = c

-4 = c

so:

a = 3, b = -4, c = -4

4 0

2 years ago