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1 year ago

Which angle number represents an angle adjacent to NSM?

Mathematics

1 answer:

creativ13 [48]1 year ago

3 0

Answer: Answer:

1) LSM.

2)complementary angles

3)*linear pair

Step-by-step explanation:

1) Vertical angles are formed on opposite side at the intersection of two lines .In the given figure the angle vertical to OSN is LSM and hence they are vertical pair.

2) The pair of angles LSM and SMN are neither adjacent angles nor linear pair or vertical angles .Hence we can call them complementary angles.Complementary angles are one which add to 90 degrees.

3) The angle pair are NSM and MSL lie on a straight line and hence are called linear pair.

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How do I convert standard form to point slope

Fittoniya [83]

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$y-y_1=m(x-x_1)$

$(x_1,\ y_1)$ - given point

$m$ - given slope

The standard form:

$Ax+By=C$

$y-y_1=m(x-x_1)$ use distributive property

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$y=mx-mx_1+y_1$ subtract $mx$ from both sides

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2 years ago

What is the value of x km trying to help a friend

mariarad [96]

Answer:

3x +45°=180° (due to straight angle)

or, 3x= 180°-45°

or,3x= 135°

or,X=135°/3

X =45°.ans

3 0

2 years ago

Help fast!! please.

alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

= 278/9

= 30.88888889

Approximately = 30.89

Step 3

Standard Deviation = √Variance

= √30.89

= 5.5578772926

Approximately = 5.56

6 0

3 years ago

Which expression is equivalent to |1-5| + |3|? O -2 O -8 O 2 O 8

vfiekz [6]

Answer:

Step-by-step explanation:

because you do |1-5| first then do add ur answer to |3|

3 0

3 years ago

Find the distance between the lines Y=3x+10 Y=3x-20 AND Y=3/2x+3/2 Y=3/2x-5

rosijanka [135]

At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope
If we have two parallel lines ⇒ y₁ = mx + c₁ and y₂ = mx + c₂
So, the distance between y₁ and y₂ = d = $\frac{|c_{1} - c_{2}|}{\sqrt{1 + m^{2}}}$
========================================================

Part (1):
=======

The distance between the lines

 Y₁ = 3x + 10 and Y₂ = 3x - 20
∴ m = 3 , c₁ = 10 and c₂ = -20
∴ d = $\frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}$

========================================================

Part (2):
=======

The distance between the lines

Y₁ = 3/2 x + 3/2 and Y₂ = 3/2 x - 5
∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
∴ d = $\frac{| 1.5- (-5)|}{\sqrt{1 + 1.5^{2}}}= \framebox{3.6}$

6 0

2 years ago