In the diagram of EHG below, JF || HG, EJ=3, JH=18, and FG=72. What is the length of EG

In The Diagram Of EHG Below, JF || HG, EJ=3, JH=18, And FG=72. What Is The Length Of EG

Answers

Answer 1

Answer:

EG = 84

Step-by-step explanation:

Here, we want to get the length of EG

Mathematically, we will be considering two triangles

these are EFJ and EHG

These two triangles are similar as can be seen

when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

EH/EG = EJ/EF

let us represent EF by x

so; EG is (x + 72)

EH = 3 + 18 = 21

Hence, we have it that;

21/x+ 72 = 3/x

21(x) = 3(x + 72)

21x = 3x + 216

21x-3x = 216

18x = 216

x = 216/18

x = 12

EG = 12 + 72 from EG = x + 72

EG = 84


Related Questions

What is the other measure of the other acute angle? Pls explain how you got your answer !

Answers

Answer:

[tex]65^{o}[/tex]

Step-by-step explanation:

Angles in a triangle add up to 180

An acute angle is any angle smaller than 90

Since it is a right angle triangle, one of the angles is a right angle and therefore 90

So 180 - 90 - 25 = 65

The following are the temperatures in °C for the first 8 days of January:
-2.5, 0, 4, 4.5, -0.5, -1, 5, 3
What is the median temperature for those 8 days?
Give your answer as a decimal.

help i need it ASAP!!!

Answers

Answer:

1.5 °C

Step-by-step explanation:

-2.5, -1, -0.5, 0, 3, 4, 4.5, 5

median is the middle number in the list of numbers

Sequence: 13.9.5.1.-3. ...
5) is this Arithmetic, Geometric, or Neither?
6) Write and Equation for the Sequence.
7) What is the 15th Term in the Sequence?

Answers

5.) this sequence above I arithmetic since it is being subtracted by a constant which is 4.
6.) the equation could be a(n)=13+(n-1)-4
7.) the 15th term of this sequence is -43

Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2004, about 5430 billion was spent at

restaurants. If the trend continues, about how much will be spent at restaurants in 2014?

About 5 billion will be spent at restaurants in 2014 if the trend continues

(Round to the nearest whole number as needed.)

Answers

Answer:

8845 billion

Step-by-step explanation:

Since exponential growth is given by;

P = a( 1 + r)^t

Where;

P = amount spent after t years

r = exponential growth rate

t = time interval

2004 - 2014 is an interval of 10 years. If 5430 billion was spent in 2004 and the growth rate has been 5% each year, then;

P= 5430 * 10^9(1 + 5/100)^10

P = 8845 * 10^9

P = 8845 billion

If vector v = ( 9 ) find -v and 3v
-6

Answers

-V=-9
3V-6=3x9-6=27-6=21

last one










Mosquitoes are just dirty used needles that can fly

Answers

yes. no literally. what is the point of mosquitoes.

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the
picture. The diameter of the circular area of grass is 16 ft. what is the closest measurement to the area in square feet ?

Answers

Answer:

Area of the lawn = 64π square feet

Step-by-step explanation:

Area of the circular lawn = πd²/4

d is the diameter of the lawn = 16ft

Substitute the given value into the formula

Area = π(16)²/4

Arrea of the lawn = 256π/4

Area of the lawn = 64π square feet

A race was 993 meters. If 28 people ran in the marathon how many meters would they
have run total?

Answers

Answer:

27,804

Step-by-step explanation:

28x993= 27,804

Please help me.
Please simplify it and group it in like terms.

3a+6+2a-4+a-2=​

Answers

Answer:

6a

Step-by-step explanation:

Answer:

6a

Step-by-step explanation:

3a+2a+a= 6a

6-4-2=0

6a+0=6a

Please help me with the questions please ASAP ASAP please please ASAP please please help please I’m begging please please

Answers

Answer:

3/2

Step-by-step explanation:

The ratio of perimeters of similar polygons is the same as the ratio of the lengths of corresponding sides.

WX/AB = 12/8 = 3/2

Andrea and Tim are picking apples. Andrea picks 4 à pounds of apples. Tim picks
33 pounds of apples. How many total pounds of apples did Andrea and Tim
pick?

Answers

Answer:

37 pounds of apples.

Step-by-step explanation:

you add together the amount of apples that both people have gathered, which in this case would be 33+4 which makes 37, so your answer would be 37 apples.

Please help me, GodBless.

Answers

Answer:

m= 5/2

Step-by-step explanation:

Points: (0, 2) and (4, 12)

Slope:

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

m=(12-2)/(4-0)

m=10/4

m= 5/2

Answer:

2.5

Step-by-step explanation:

Hello There!

We can easily calculate the slope using the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

all we need to do is pick to ordered pairs from the table and plug in the x and y values of the selected pairs

The ordered pairs selected can vary but i chose the points (0,2) and (4,12)

now we plug in the values into the formula

(remember y values on top and x values down below)

[tex]m=\frac{12-2}{4-0} \\12-2=10\\4-0=4\\\frac{10}{4}=2.5[/tex]

so we can conclude that the slope of the function is 2.5

The equation of line s is y = __13 x − 3. The equation of line t is y = –x + 5. The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P. Draw a line to represent line s and another line to represent line t. Then plot point P.

Answers

Answer:

They cross at point (0.571, 4.429)

Step-by-step explanation:

I just did it and got it correct

Please mark me Brainliest

please help me i don't understand this. the teacher said that she does not care and its due in 20 mins please help me :(

A galaxy is likely to be a collection of which of the following?
A :Universe and interstellar matter
B : Stars and interstellar matter
C: Clusters and constellations
D :Stars and clusters

Answers

Answer:

C

Step-by-step explanation:

The answer to this question is C

A cylinder has a height of 16 meters and a diameter of 26 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

HELLLLPPP PLSSSSBXVXBCBCCBCX

Answers

Answer: -5,-1

Remember this: The number on the x axis ALWAYS goes first in the coordinates.

the same
2. When graphing a system of equations with no solution, the y-intercept of the lines would be?

Answers

Answer:

not telling u, imbecil

Step-by-step explanation:

hahhahahahah

please help I give brainliest

I don't want to see link if I do you will be reported

Answers

Answer:

c(maybe?)

Step-by-step explanation:

dont give me a brainliest.

Solve for x.
20
8
4x+3
38

Answers

Answer:

x = 18

Step-by-step explanation:

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

So, 20/8 = (4x + 3)/30

8(4x + 3) = 20(30)

32x + 24 = 600

32x = 576

x = 18

PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?

Answers

I multiplied all the numbers together and I got 3,080 inches. I hope this is correct sorry if it’s not!!

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

What is the lyrics for its good to be alive by among us?

Answers

Answer:

HEHEHEHEHEH

I've been waiting for this moment

Feels good to be alive right about now

Good, good, good, good to be alive right about now

Good, good, good, good to be alive right about now

Hallelujah, let that bass line move ya, say hey

Step-by-step explanation:

Have fun

Can someone please help

Answers

okay sorry

Step-by-step explanation:

i just wanted point

solve eqn by factorisation method
2x squre-50x=0​

Answers

Answer:

0 or 25

Step-by-step explanation:

To solve for x

we first factor

2x^2-50x=0

2x(x-25)=0

To make this equation 0 x has to be 0 or 25

Luis's car used 4/5



of a gallon to travel 29 miles. At what rate does the car use gas, in miles per gallon?

Answers

Answer:

36.25 miles per gallon

Step-by-step explanation:

4/5 = .8

29/.8 = x/1

cross-multiply:

.8x = 29

x = 36.25

Solve the system using the substitution method. y = -5x – 13 6x + 6y = -6 please help me NO LINKS!

Answers

Answer:

Step-by-step explanation:

y=-5x-13

Since we know the value of y we can substitute it in

6x+6(-5x-13)=-6

6x-30x-78=-6

-24x=72

-x=3

x=-3

Now that we know the value of x we can solve Y

y=-5(-3)-13

y=15-13

y=2

Use elimination to solve for x and y:
9x - 2y = 46
x + 2y = 14

Answers

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

9x - 2y = 46 → (1)

x + 2y = 14 → (2)

Adding the 2 equations term by term will eliminate the y- term

10x + 0 = 60

10x = 60 ( divide both sides by 10 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Substituting into (2)

6 + 2y = 14 ( subtract 6 from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (6, 4 )

Find the exact value of cos 135° sin15°.

Answers

Answer:

its cos 50

Step-by-step explanation:

amen

A girl is putting jars of jam into boxes.She puts 8 jars into each box,and she has a total of 144 jars.She wants to know how many boxes she needs how much boxes does she need

Answers

Answer:

18

Step-by-step explanation:

she needs 18 boxes divide 144 by 8 then u get ur answer

Hey you! Would you like to promote my small pastry business??
Currently we are only selling this: UR MOM (contains: Eggs, Wheat, Milk, Extra Nuts, etc” $19.99
We take cashapp, venmo, PayPal and other types of payments

Answers

Answer: nice

Step-by-step explanation:

Sounds like a Scam though ngl

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