MATHEMATICS HIGH SCHOOL

Which angle forms a vertical pair with nsm a.osl b.smn c.snm d.osn

Answers

Answer 1
Answer:

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that  ∠NSM,

we need to find is vertical angles of ∠NSM,

1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.

2) ∠SMN can't be vertical angle as  vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.

3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.

4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.

Hence, Option 'a' is correct.

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What is the slope of the line?

Answers

Answer:

slope (m) = 7/4 or 1.75

Step-by-step explanation:

Given points (-1, -3) and (3, 4) from the graph, we can solve for the slope using the formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-1, -3)

    (x2, y2) =  (3, 4)

Substitute the given values into the formula:

m = (y2 - y1)/(x2 - x1)

m = [4 - (-3)] / [3 - (-1)]

m = (4 + 3) / (3 + 1)

m = 7/4

Therefore, the slope of the line is m = 7/4 or 1.75

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Evaluate the following expression. 7^0

Answers

remember
x^0=1
anything to teh zero power=1
the reason is
2^3=1*2*2*3 means 3 of them
2^2=1*2*2 means 2 of them
2^1=1*2 menas 1 of them
2^0=1*no 2's means 1 of them

result is 2
One of the rules of exponents is that any number raised to the zero power is 1, so

7^0 = 1

Akhtar gets a bonus of 20% of £70Karl gets a bonus of £26
Work out the difference between the bonus Akhtar gets and the bonus Karl gets.

Answers

Answer:

Akhtar gets £12 less than the bonus Karl gets

Step-by-step explanation:

20% of £70 is £14

so, £14 - £26 = -£12
in conclusion, Akhtar gets £12 less than the bonus Karl gets

Answer:

To find the difference between the bonus Akhtar gets and the bonus Karl gets, you can follow these steps:

Calculate Akhtar's bonus:

Akhtar's bonus is 20% of £70. To find this, multiply 20% (or 0.20 as a decimal) by £70:

Akhtar's bonus = 0.20 * £70 = £14

Calculate the difference between Akhtar's bonus and Karl's bonus:

Difference = Akhtar's bonus - Karl's bonus

Difference = £14 - £26

Now, subtract £26 from £14 to find the difference:

Difference = -£12

So, the difference between the bonus Akhtar gets and the bonus Karl gets is -£12. Since Akhtar's bonus is smaller than Karl's, the difference is negative, indicating that Karl receives a higher bonus than Akhtar.

The set of lessons in this geometry course is: finite infinite

Answers

the answer is infinite

the answer is infinite, hope it helps

Y / 4 + 8 = 22 Answer?

Answers

Answer:

y/4+8=22

y/4=22-8

y/4=14/1

y=56

Answer:

y = 3.5

Step-by-step explanation:

First, you do 14/4 which = 3.5

Hope this helps!

Machine X makes 300 boxes in 3 mins and machine Y makes 300 boxes in 2 mins. With both machines working, how long will it take to make 300 boxes?

Answers

-- Machine-X takes 3 minutes for 300 boxes . . . 3/300 = 1/100 minute per box.
-- Machine-Y takes 2 minutes for 300 boxes . . . 2/300 = 1/150 minute per box.

-- 3/150 = 2/100 . . . In 3/150 second, they can make 5 boxes by working together.

-- They need to make 5 boxes (300/5) = 60 times.
-- They'll need to work for 60 times (3/150) minutes.

60 (3/150) = 180/150 = 1.2 minutes = 1 minute and 12 seconds.
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