All categories

3 years ago

Given that LON is a right angle, find the measure of x.

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

$x=30\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

$2x+x=90$

solve for x

$3x=90$

$x=30\°$

You might be interested in

Out of 100 students,15 passed in english, 12 passed in mathematics, 8 in science, 6 in english and mathematics, 7 in mathematics

Lyrx [107]

Because there are 4 students who passed in all subjects, we can say that only 2 students passed in English and Mathematics only, only 3 students passed in Mathematics and Science only, and no one passed in English and Science only.

Given that we have deduced the number of students who passed in two subjects, we can now solve for the number of students who passed only one subject.
English = 15 - (4 + 2 + 0) = 9
Mathematics = 12 - (4 + 3 + 2) = 3
Science = 8 - (4 + 3 + 0) = 1

1. In English but not in Science,
9 + 2 = 11
2. In Mathematics and Science but not in English
3 + 3 + 1 = 7
3. In Mathematics only
= 3
3. More than one subject only
3 + 4 + 2 + 9 = 18

It will really be helpful if you draw yourself a Venn Diagram for this item.

8 0

3 years ago

Read 2 more answers

Here is the question: Jamey purchased a new boat for 61014.00. She read that the value of the new boats change by -2/19 in the f

olga55 [171]

The value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

<h3>What is a reduction in value?</h3>

The change in the value of the new boat can be described as a reduction in value, which is akin to the depreciation of the initial value.

The reduction means that the value of the boat fell after the first year of use.

The reduction or change in value and the new value after the first year can be computed as follows:

<h3>Data and Calculations:</h3>

Purchase price = $61,014

Change in value after first year = -2/19

Change in value (dollars) = $6,422.53 ($61,014 x 2/19)

Value after the first year = $54,591.47 ($61,014 - $6,422.53)

Thus, the value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

Learn more about reduction in the value of an asset at brainly.com/question/25806993

#SPJ1

6 0

2 years ago

Whoever is good at math, please help!

otez555 [7]

Answer:

I think it is 37.5°.

Step-by-step explanation:

6 0

3 years ago

A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u

EastWind [94]

Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

$(60x-20x)-400,000 = y$

Where:

x is the amount of units created and sold
y is the total profit after selling x-units

Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

$(60x-20x)-400,000 = 40,000$ .... add 400,000 on both sides

$40x= 360,000$ ... divide both sides by 40

$x= 9000$

The company needs to sell 9000 units in order to turn a profit of $40,000

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

$V= \dfrac{4}{3} \pi r^3$

Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

$S \approx 3033$

The second choice is your answer.

5 0

3 years ago

Given that LON is a right angle, find the measure of x.​

Given that LON is a right angle, find the measure of x.