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jeka57 [31]
3 years ago
11

1) In the diagram, l || m. If the measure of angle 3 is 120 find the measure of the following angles

Mathematics
1 answer:
Anton [14]3 years ago
6 0

Answer:

a) 60° , b) 120° and c) 60°

Step-by-step explanation:

See the diagram attached to this question.

a) Here, ∠ 4 and ∠ 3 are supplementary angles.

So, ∠ 4 + ∠ 3 = 180° {Here, ∠ 3 is given to be 120°}

⇒ ∠ 4 = 180° - ∠ 3 = 180° - 120° = 60° (Answer)

b) Now, ∠ 3 and ∠ 6 are alternate angles and hence, ∠ 3 = ∠ 6 = 120° (Answer)

c) Here, ∠ 6 and ∠ 8 are supplementary angles.

So, ∠ 6 + ∠ 8 = 180°

⇒ ∠ 8 = 180° - ∠ 6 = 180° - 120° = 60° (Answer)

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Which sets of ordered pairs represent functions?
Alika [10]

The ordered pair in roaster form {(2,8), (3, 12), (4, 16), (5, 20)} is a function.

<h3>What is the domain and range of a function?</h3>

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

We know a function can be many one which means different inputs leads to same output but one to many is not a function as same input can not lead to different outputs.

{(2,8), (3, 12), (4, 16), (5, 20)} is a function as each different input leads to a different output.

learn more about functions and sets here :

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8 0
1 year ago
WHAT IS 41SQUARED PLUS XSQUARED +213?
Bingel [31]

Answer:

1894+x^2

Step-by-step explanation:

1894+x^2

41 squared IS 1,681.

Adding 213 makes it 1894.

And you end up with the expression 1894+x^2

Hope this helps!

4 0
3 years ago
Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite
Over [174]
First you have to write the equation. in the scenario, use standard form.
Ax+By=C
plug the numbers in. A=2.50, B=1.25, and C is the total, 356.25. the 180 doesn't come in quite yet.
your equation is 2.50x+1.25y=356.25. now, since they only bought 180 items, you can't go past that.

I am sorry, but I am about to leave for school, and therefore do not have enough time to answer the last of your question. I hope the part I could answer has helped you.
7 0
3 years ago
If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 13, what is the SST for the data set?
nadya68 [22]
Answer : SSE = 9
r^2 = 0.75
r^2 = 1 - (SSE/SST)
SSE/SST = 1 - r^2 = 1 - 0.75 = 0.25
<span>SST = 9/0.25 = 36</span>
8 0
3 years ago
Read 2 more answers
One number exceeds another by -1. the sum of the numbers is 5. what are the numbers?
maks197457 [2]
X-y=-1
x+y=5
y=x+1
x+x+1=5
2x+1=5
2x=4
x=2
y=x+1
y=2+1
y=3
4 0
3 years ago
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