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3 years ago

If m∠NLO = 41° and m∠NLM = 88°, what is m∠OLM?

Mathematics

1 answer:

puteri [66]3 years ago

5 0

Answer:

47°

Step-by-step explanation:

Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM

Therefore, subtracting m<NLO from both sides will give us:

m<OLM = m<NLM - m<NLO

m<OLM = 88° - 41°

m<OLM = 47°

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Solve the following equation (x-4)^2=7

tatyana61 [14]

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2 years ago

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Nicole works 50 hours a week and earns $25 per hour. Her company pays overtime of one and half times for all hours worked over 4

ankoles [38]

Her gross weekly pay would be $1375.

25 * 40 = $1000

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3 years ago

Find the value of x

-Dominant- [34]

Answer:

Step-by-step explanation:

we know that the sum of these two angles=180 degrees

5x/2 +125=180

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5x/2=55

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5x=110

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3 years ago

What is the perimeter of a parallelogram, if it's area is 36 cm^2 and the distances between the point of intersection of the dia

IgorC [24]

Answer:

The perimeter of a parallelogram is 30cm.

Step-by-step explanation:

From the question , the given area of a parallelogram is 36 cm².

But the area of a parallelogram can be calculated using below formula

Area = base * height

From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively

There is the same distance between point of intersection of the diagonals and the opposite sides then,

The base of the side with 4cm can be calculated as

ha= 2+ 2= 4cm

But area can be calculated as A= base × height

36= b1 × h1

36=b1 × 4

b1= 9cm

The base of the other side can be calculated with 6cm height

h2= 3+3=6cm

A= b2× h2

36= b2 ×h2

36= b2× 6

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Then the perimeter of the parallelogram can be calculated as

P= 2(b1 + b2)

= 2(6+9)

= 30cm

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3 years ago

( -3, -14 ) and ( 0, -9 )

expeople1 [14]

The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

( -3, -14 ) and ( 0, -9 )

Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

(-3, -14) and (0, -9)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, -14) and (0, -9)

Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3