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3 years ago

Angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I

Mathematics

2 answers:

Afina-wow [57]3 years ago

8 0

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

photoshop1234 [79]3 years ago

4 0

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

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For each ordered pair, determine whether it is a solution to the system of equations.

-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

For (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

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1 year ago

Assume that two chords in a given circle are congruent. Which of the following must also be true?

o-na [289]

Answer:

If the two chords are congruent, then they must be equidistant from the centre of the circle.

Ans: D

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3 years ago

Write a formula for this sequence: 8,-1,-10,-19

Romashka [77]

This is an arith. sequence, and the common difference is -9.

a(n+1) = a(n)-9, with a(1)=8. Thus, if we look at the first term, we see 8; subracting 9 from 8 produces the second term (-1).

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3 years ago

For which pairs of functions is (f•g)(x)=x

tatuchka [14]

B on edg I took the quiz

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3 years ago

The amount of money the banker or broker makes in commission on your loan is called the_____. Down payment, interest, yield spre

vovangra [49]

Answer:

I believe the answer is Yield Spread

Step-by-step explanation:

So Basically what a down payment is, it is an initial up-front partial payment for the purchase of expensive items such as a car or a house. It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment. You usually pay 10-20% of its value.

Interest is when you don't pay your bills on time and what ever company you owe money to will add a certain percentage on top of what you own. So if you owe 10 dollars and didn't pay it depending on its interest rate it would be 10.70 for 7% interest rate. So the banker or broker would make that on there commission.

Yield Spread is a really interesting the yield spread or credit spread is the difference between the quoted rates of return on two different investments, usually of different credit qualities but similar maturities. It is often an indication of the risk premium for one investment product over another. The phrase is a compound of yield and spread.

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3 years ago