What is EG? (image below)

What Is EG? (image Below)

Answers

Answer 1

The answer of EG is 30. We can find it by Triangle Proportionality Theorem and Angle Bisector Theorem.

What is Triangle Proportionality Theorem?

According to Triangle Proportionality Theorem, A triangle's other two sides are proportionately divided by a line that runs parallel to one of its sides.

So here, [tex]\frac{DN}{NG} = \frac{DM}{ME}[/tex] (Triangle Proportionality Theorem)

⇒ [tex]\frac{30}{24} = \frac{y}{12}[/tex]

⇒ 24 * y = 30 * 12

⇒ y = 15

So, we get [tex]DE = y + 12 = 15 + 12 = 27[/tex]

The angle bisector theorem states that a triangle's opposing side is divided into two halves by an angle bisector that is proportionate to the triangle's other two sides. 

Now, we can find EG by Angle Bisector Theorem,

⇒ [tex]\frac{DG}{FG} = \frac{DE}{FE}[/tex]

⇒ [tex]\frac{54}{x+10} = \frac{27}{x}[/tex]

⇒ [tex]54x= 27 x + 270[/tex]

⇒ [tex]54x-27x = 270[/tex]

⇒ [tex]27x = 270[/tex]

⇒ [tex]x = 10.[/tex]

So, [tex]EG = x + x + 10 = 2x + 10 = 20 + 10 = 30[/tex].

So, finally we get EG = 30.

To learn more about Triangle Proportionality Theorem, visit:

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Related Questions

Graph each of the following. Label the axis of symmetry and the vertex.
y=2x^2-4x+1
y=2x^2+8x+6


Plz help!!!

Answers

Answer:

See below

Step-by-step explanation:

Attached are the two graphs where the blue line represents the axis of symmetry.

2x+2y+2x+2y+2x+2y+2x+2y+2x+2y+2x+2y
eh...

Answers

Answer:

6x + 6y just add all the 2x then 2y

Answer:

12x+12y= 24

Step-by-step explanation:

24

Finding missing angles
please help!! i’m literally begging

Answers

Answer:

65

Step-by-step explanation:

the square means 90 add that to 25 and subtract from 180

Answer:

x =  65

Step-by-step explanation:

The measure of the entire angle is 180°. The angle on the furthest left (with a square in it) is a right angle, meaning that it is 90°.

All three of the angles (90°, x°, 25°) all add up to the measure of the line, which is 180°. So, we can write this equation.

90 + x + 25 = 180

Subtract 90 and 25 from both sides.

90 + x + 25 - 90 - 25 = 180 - 90 - 25

x =  65

HAHAHHAHA, im going 2 fail now :D
A 36-foot long rope is tied from the top of a pole to a stake in the ground. If the stake is 17 feet from the base of the pole, find the height of the pole. Round to the nearest tenth if necessary.

Answers

Answer:

Perpendicular = 31.73 ft (Approx)

Step-by-step explanation:

Given:

Length of rope (Hypotenuse) = 36 ft

Base = 17 ft

Find:

Height of pole (Perpendicular)

Computation:

Perpendicular = √Hypotenuse² - Base²

Perpendicular = √36² - 17²

Perpendicular = √1,296 - 289

Perpendicular = 31.73 ft (Approx)

PLEASEEEE HELP!!!☹️☹️ i will mark brainliest

Answers

Z=110 because if you add up all the angles inside the triangle it would =180 and take the angle by z and subtract it from 180 you get your answer

Let us factorise the following alg
x4/16-y4/81

Answers

Step-by-step explanation:

this way we get value of x and y

hope it helps ☺️☺️

if u like give thanks

Solve each equation. 2pts. Show all work.
1. a + 4 = 11

Answers

Answer:

a=7

Step-by-step explanation:

a+4=11

a=11-4

a=7

Find the sale price of a $15 item after a 20% discount.

Answers

Answer:

12

Step-by-step explanation:

find 20% of 15 and then take that away from the 15

What you would do is X/15 and 20/100 Now cross multiply so x100 = 15 x 20 15 x 20 = 300, but you need to have x by it self so 300/100 = 3

Hope I said everything right and make sure to double check my math. Have a great day!

How can you graph a linear function?

Answers

Answer:Choose a minimum of two input values.

Evaluate the function at each input value.

Use the resulting output values to identify coordinate pairs.

Plot the coordinate pairs on a grid.

Draw a line through the points.

Step-by-step explanation:

Which value of p makes the inequality p > 12 true?

Answers

Answer:

Any value over 12

Here are some examples: 13, 14, 15, 20, 25, 40, 100, 123, 2930

Step-by-step explanation:

help help please thanks

Answers

Answer:

x = 16

4x = 64

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Add the given angles and solve for x

93 + 46+ 3x + 62 + 4x +47 = 360

7x + 248 = 360

7x = 360 –248

x = 16

4(16) = 64

Answer the photo below thanks

Answers

Answer:

4

Step-by-step explanation:

I NEED THIS ASAP PLS

Answers

Answer:

The Senior Citizens

Step-by-step explanation:

because the adult tickets cost 11 dollars each person the child tikets cost 5.50 each child and the Senior Citizens only cost 5 each person

i don’t I understand please help

Answers

Okey.but where is your question
The answer for the first one is y=-1/2x+4, you can find this by graphing it and finding the slope by using rise over run and once you have the slope you can plot the rest of the points to find the y-int. For the other one it is y=-3x+8. I also really suggest using the Desmos graphing calculator online, you got plot the points and then once you have an answer you can check it by plugging in the equation.

plz help if u can! i’ll mark brainlist! plz solve b. plz! ur worth every breath! <3

Answers

Answer:

Step-by-step explanation:

3 times the number of yards is feet

let x represent the number of yards

Combine like terms. Your answer should contain decimals. 0.5(x4 − 9) + 15 = Please in 10 mins please

Answers

Answer:

x ≈ ±2.1407

Step-by-step explanation:

0.5(x⁴ - 9) + 15 = 0

Distribute the 0.5 across the parentheses.

0.5x⁴ - 4.5 + 15 = 0

Combine the constants.

0.5x⁴ + 10.5 = 0

Subtract 10.5 from both sides.

0.5x⁴ = -10.5

Divide both sides by 0.5.

x⁴ = 21

Take the fourth root of 21.

⁴√21 ≈ ±2.1407

x ≈ ±2.1407

HELPP IS THIS CORRECT

Answers

Answer:

Looks correct.

Step-by-step explanation:

The lines (absolute value) turn the negatives to positive.

Hope you get it correct!

it is correct :)

(i need more characters to send this but yeah you're correct. congrats :) )

Reduce to simplest form.
12/11 - (-2/3)

Answers

Answer:

58/33

Step-by-step explanation:

hope i could help yk

Find the value of x. Write your answer in simplest form. need help quick pls

Answers

Answer:

The value of x is approximately 5

Step-by-step explanation:

Answer:

x=6.36

Step-by-step explanation:

In a right triangle where the angles are 45, 45 and 90, the hypotenuse is equal to [tex]\sqrt{2}[/tex] multiplied by the length of the legs. Knowing this, we can set up the following equation:

[tex]9=x\sqrt{2}[/tex]

Multiply both sides by [tex]\sqrt{2}[/tex]

[tex]9\sqrt{2} =x\sqrt{2}*\sqrt{2}\\9\sqrt{2} =2x[/tex]

Divide both sides by 2

[tex]\frac{9\sqrt{2}}{2}=\frac{2x}{2}\\\frac{9\sqrt{2}}{2}=x[/tex]

[tex]x=6.36[/tex] (this answer is approximate)

Therefore, x is equal to 6.36.

I hope this helps!

After a class party, Hugo had 3/5 of a bag of candy left over. He decides to split it between himself and 3 friends. How much candy will each person get?

Answers

Each person will get 3/20 or 15% of the bag

Answer:

3/10

Step-by-step explanation:

I did 3/5x1/2=3/10

This is my question
Please Help Me!

Answers

for this you do Pythagorean theorem so
7^2+12^2=x^2
49+144=x^2
193=x^2
x=squareroot193
so you put 193 in the green box.
hope this helped❤️

Answer:

x=\|193

Step-by-step explanation:

There are 240 students in the seventh grade, and 25% are in the Environmental Club.
How many students are in the Environmental Club?

Answers

180 students in the enviormental club

There are 60 students in the Environmental club.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 240 students in the seventh grade,

and 25% are in the Environmental Club.

That means,

students are in the Environmental Club,

= 240 x 25/100

= 60

Therefore, 60 students are in Environmental club.

To learn more about the percentage;

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Brainliest to 1st person to get both correct!

Answers

Not sure for the first one but I think the second one is BD

What is the area of this triangle?
A=bh2


a-54 cm²

b-90 cm²

c-108 m²

d-216 m²

Answers

Answer:

a

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 12 , then

A = [tex]\frac{1}{2}[/tex] × 9 × 12 = [tex]\frac{1}{2}[/tex] × 108 = 54 cm²

It’s a because 12x9=108 then divide it by 2 and you have 54

A customer bought a soda and 2 hotdogs for $7 another customer bought a soda in for hotdogs for $12

Answers

What are u suppose to do in this word problem ?

James wants to build a frame around a circular clock like the one shown. He is trying to determine how much material he needs to wrap around the clock. Determine the circumference if the radius is 12 inches. Round your answer to the nearest tenths. Use ≈3.14.

Answers

Answer:

22

Step-by-step explanation:

Just did it

A 747 Airplane is 762 inches tall. How tall is it in feet

Answers

Answer:

The answer is 63.5 feet :)

the airplane is 63.5 feet tall when converted from inches to feet

Helpppp please !!

Which equation best represents the graph shown above?

Answers

Answer:

B

Step-by-step explanation:

Choose an x point. Then plug it in and see if you get the correct y.

For example, I chose an x point of -1. When x = -1, you can see that y = 4.

Plug it in to the equations, and you find that B is correct.

y (4) = [tex]x^{2}[/tex] (-1 x -1) - 2x ( 2 times -1) + 1

4 = 1 - (-2) + 1

4 = 1 + 2 + 1

4 = 4

what is 1/4 x 3/7 plzz

Answers

1/4 x 3/4 =3/28 or 0.10714285714 in decimal form

URGENT!!! A factory process requires 3 steps to finish a product. The steps each have a mean completion time of A= 10 seconds and a standard deviation of o = 5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time for the 3 steps.

Find the standard deviation of T.

Choose 1 answer:

OT = 15 seconds

Or = 75 seconds

or 15 seconds

or = v75 seconds

Answers

Answer:

d

Step-by-step explanation:

The standard deviation of T is equivalent to 5.

What is standard deviation?In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.Mathematically, we can write -

       [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]

Given is that a factory process requires 3 steps to finish a product. The steps each have a mean completion time of A = 10 seconds and a standard deviation of O = 5 seconds. The time it takes to complete each step is independent from the other steps.

We can write that -

5 = √∑(x{i} - 10)²/√3

√∑(x{i} - 10)² = 5√3

(√∑(x{i} - 10)²)² = (5√3)²

∑(x{i} - 10)² = 25 x 3

∑(x{i} - 10)² = 75

Now, we can write that -

σ = √(75/3)

σ = √25

σ = 5

Therefore, the standard deviation of T is equivalent to 5.

To solve more questions on standard devaition, visit the link below -

https://brainly.com/question/23907081

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