Geometry

If FG || BC , which equation is necessarily true?

Geometry If FG || BC , Which Equation Is Necessarily True?

Answers

Answer 1

Answer:

hi! id say your answer should be B. DF/FB=EG/GC

Step-by-step explanation:

Your question was if FB is parallel to BC, what must be true? A. and C. are not necessarily connected to FB and BC and do not prove that those two lines are parallel. while B. DF/FB = EG/GC does prove that they are parallel because the lines mentioned in the question, FG and BC, are attatched by the lines that are provided by answer B. I hope this helps!

Answer 2

The necessary equation which is true for the  given triangle is:

\(\frac{AD}{AB} = \frac{AE}{AC}\)

What is the similarity of triangles?

Similar triangles are those with the same form but different sizes. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are comparable have corresponding sides that are proportionately equal and corresponding angles that are congruent. The symbol "≈" above illustrates how the triangle looks similar.

Given that,

A right triangle ABC,

which contains two segments DE & FG

So according to properties of similar triangles, the ratio of length of the sides of the triangle is equal,

AB/AC  = AD/AE

it can be further simplified as

AB/AD = AC/AE

Therefore, the equation is AB/AD = AC/AE

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Related Questions

Show work and explain!! Due in 12 hours! Find the total volume of these 2 shapes.

Show work and explain!! Due in 12 hours! Find the total volume of these 2 shapes.

Answers

Answer:

86,205.3 cm³

Step-by-step explanation:

So first you have to know the formulas. The volume of a cone is V= 1/3 π r²×H. The volume for a sphere is V= 4/3πr³. But, in this instance the sphere is cut in half, so what we would do is just divide the formula by 2. We are going to start with the cone. plug in the answers. r=28 and H=49. you can always, for pie, plug it in for 3.14, depending on your calculator and teacher. It should look like V=1/3π28²×49. So, for that answer you should get, 40,229.14cm³. Next is the half sphere. Plug in what is necessary, r=28. It should look like, V=4/3π28³. You should get 91952.32cm³, but remeber you have to half it so takes that answer and divde by 2. Then your answer is 45976.16cm³. After done just add your two sums together and you should get 86205.3cm³.

A few boats were traveling upstream and downstream. A satellite recorded the movements of several boats. A motor boat traveled -3.4 miles for every hour in 0.75 hours. How much progress?
Explain
PLSLSLLSLSLSLSLS HELLLPPP ILL GIVE BRAINLIEST

Answers

Maybe draw a graph and see if that is the answer?
Multiply-3.4 to 0.75

I Need Help ASAP I will name right answer Brainlest

I Need Help ASAP I will name right answer Brainlest

Answers

Answer:

Surface area = Ph + 2B

(36)(5) + (2)(12·6)

180 + 144

Final answer = 324

Step-by-step explanation:

Answer:324 ................

Help me please I’ll give brainlest if it right

Help me please Ill give brainlest if it right

Answers

Answer:

it' should be 0.15 have a great day

Answer:

0.75

Step-by-step explanation:

There are 8 tiles total. 2 of them are blue A. 6 of them are NOT blue A.

The chances of not drawing a blue A is 6/8 or 0.75

Hai! I need you guys again! Find the Volume of this object... Thank you!!♡ \(´ ∇`)ノ

Hai! I need you guys again! Find the Volume of this object... Thank you!! ( `)

Answers

543.9 I believe this is answer. I hope this helped

Need answer asap please and thank you :)

Need answer asap please and thank you :)

Answers

approximately 0.02777

This is due today by 12 pls help me, progress reports are tomorrow. I really need help.

This is due today by 12 pls help me, progress reports are tomorrow. I really need help.

Answers

Both because both plants and animals have a nucleus but plants nucleus is scattered while animals own is in place

Ten mangos and twelve avocadoes cost $23. Five mangos and four avocadoes cost $10. How much do one mango and one avocado cost?

Answers

Answer:

$2.15

Step-by-step explanation:

Let mango be m

Let avocado be a

10m + 12a = 23

5m + 4a = 10

Let's get rid of the mangos in the second equation

       10m + 12a = 23

-2 x (5m + 4a = 10)

Now we get:

10m + 12a =23

-10m -8a = -20

Add both the equations and we get:

4a = 3

a = $0.75

since we know that one avocado is for $0.75, we can use this value to find the cost of one mango.

5m + 4a = 10

5m + 4(0.75) = 10

5m + 3 = 10

5m = 7

m = 1.4

So, we now know that a mango cost $1.4

To find the cost of one mango and one avocado:

a + m = 0.75 + 1.4 = 2.15

Therefore, the cost of one mango and one avocado is $2.15

The required cost of one mango is 1.4 and cost of one avocado is 0.75.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Cost of ten mangos and twelve avocados is $23,

And cost of five mangos and four avocados is $10.

Let cost of mangoes be represented as M and cost of avocados be represented as A,

The equation can be written as,

10 M + 12 A = 23          (1)

5 M + 4 A = 10           (2)

By solving equation (1) and (2),

M = 7/5 = 1.4

N = 3/4 = 0.75

The cost of one mango is 1.4 and cost of one avocado is 0.75.

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Use a calculator to solve the equation.

k/6.8 + 99.8 = 12.1

The solution is k =__.

Answers

Answer:

− 596.36

Step-by-step explanation:

-596.36/6.8+99.8=12.1

Answer:− 596.36

Step-by-step explanation:

HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

3.14x6^2 = 113.04cm^2
hopefully that helps
Area of a circle = (pi)r^2

Area of the circle = (3.14)(6^2)

Area of the circle = (3.14)(36)

Area of the circle = 113.04

Find the surface area of the right triangular prism shown below.

Find the surface area of the right triangular prism shown below.

Answers

11+5=
3+4=
done you need to add them together and then those to answers you add them and done

Answer:

27 units^2

Step-by-step explanation:

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units. Volume is the amount of space that a three dimensional object takes up.

So you add, next time you get another question like this

Hope this helps!

I need help, please quickly

I need help, please quickly

Answers

Answer: The ratio is 18:3

Step-by-step explanation:

Answer:  6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Pls answer I will mark brainliest

Pls answer I will mark brainliest

Answers

Answer:2048

Step-by-step explanation:

4/3x3x8³

4/3x3x512

4/3x1536

2048

Answer: 2,048 in³

Step-by-step explanation:

Step 1: Find the radius

r=8

*Radius: 1/2 a circle*

Step 1: Plug the numbers into the formula

V= 4/3πr to the power 3

Even though pi is an irrational number, the question says to use 3 in its place.

V= 4/3(3)(8 to the power 3)

Step 3: Solve the equation

Method #1: Break it down using PEMDAS to solve manually

According to PEMDAS, exponents come first.

8³= 8x8x8= 512

Now, multiplication comes next, from left to right.

the first multiplication is 4/3x3= 4.

Finally, we have 4x512= 2,048 in³ (inches cubed).

That is the volume.

Method #2: Use a calculator

hope this helps :)) Brainiest would be appreciated

100 POINTS AND BRAINLY NO LINKS What is the length of the line segment with endpoints (−3, −8) and (10, −8) ?

Answers

Answer:

13 units

given two points: (−3, −8) and (10, −8)

As the y coordinates are same.

use the method:

|x2| + |x1|  where  (x1, y1), (x2, y2)

Solve:

|10| + |-3|

10 + 3

13

Answer:

10 units

Step-by-step explanation:

\((x_1,y_1)=(-3,-8)\)

\((x_2,y_2)=(10,-8)\)

We are supposed to find the length of the line segment with endpoints (−3,8) and (7, 8)

We will use distance formula : \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute the values :

\(d=\sqrt{(10+3)^2+(8-8)^2}\)

\(d=\sqrt{100}\)

\(d=10\)

Hence the length of the line segment with endpoints (−3,8) and (7, 8) is 10 units

can someone help me with these three answers?

can someone help me with these three answers?

Answers

Answer:

1. 5 to 2

2. 110

3. 37

Step-by-step explanation:

1. set up a raito

2. triangle must be 180 so add 70 then subtract

3. since its complenatry it must be 90 degrees, subtract 53 from 90

1. 5 to 2 2. 110 3. 37 hope it helps can I have brainlest

Please help me answer.

Please help me answer.

Answers

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

For the first column it will go 5,10,15,20,25
And second column is 7,14,21,28,35

I need help with this question, I'm not very good at math and all help is appreciated!

I need help with this question, I'm not very good at math and all help is appreciated!

Answers

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Mandissa and Katelynn each make a pitcher of strawberry lemonade. Mandissa wants her drink to be more strawberry flavored with less lemon. She uses 2 1/4 times as many strawberries as Katelynn uses, and 2/3 the amount of lemons. If Katelynn uses 1/3 cup of strawberries and 6 lemons to make her pitcher of lemonade, how many strawberries and lemons will Mandissa use?

A:) 3 cups of strawberries and 6 2/3 lemons
B:) 1 11/16 cups of strawberries and 4 lemons
C:) 3 cups of strawberries and 4 lemons
D:) 1 11/16 cups of strawberries and 6 2/3 lemons

Mandissa and Katelynn each make a pitcher of strawberry lemonade. Mandissa wants her drink to be more

Answers

Answer:

  B:) 1 11/16 cups of strawberries and 4 lemons

Step-by-step explanation:

You want to know how many cups of strawberries and how many lemons Mandissa uses in her lemonade if she uses 2 1/4 times 3/4 cups of strawberries, and 2/3 times 6 lemons.

Strawberries

Mandissa's recipe has strawberries in the amount of ...

   (2 1/4) × (3/4 cup) = (9/4)(3/4) cups = 27/16 cups = 1 11/16 cups

Lemons

Mandissa's recipe has lemons in the amount of ...

  (2/3) × (6 lemons) = (2/3)(6) lemons = 4 lemons

Mandissa uses 1 11/16 cups of strawberries, and 4 lemons, matching choice B.

<95141404393>

Mandissa and Katelynn each make a pitcher of strawberry lemonade. Mandissa wants her drink to be more

what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)

Answers

The answer is B. If you substitute 3 for x and 6 for y, you get 2(3)+(6)=12, and that simplifies to 6+6=12, which then adds up to 12=12. Hope this helps!

Answer:

Step-by-step explanation:

It's B.

Let's rewrite the expression like this :

2x+y=12 ⇒ y=12-2x

and try given values for x :

if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrong  

A region is said to be____if it is completely
enclosed by its constraints.

Answers

Answer:

Step-by-step explanation:

A region is said to be closed if it is completely

enclosed by its constraints

A region is said to be a closed area if it is completely enclosed by its constraints.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle is given by the formula below:-

Area = πr²

Where r is the radius of the circle.

Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.

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please I need help with this:) 12 points!!
Will give brainliest to the correct answer!1.

please I need help with this:) 12 points!!Will give brainliest to the correct answer!1.

Answers

Answer:

Part A:  -1/4

Part B:  2/5

Step-by-step explanation:

Breanne is trying to decide which of her two friends to invite over Friday night for her birthday party. She writes all three of their names on slips of paper and places them in a bag. Breanne will draw one name and then draw another name. Is this an example of an independent or dependent event?

A. This is an example of a independent event because she draws a name and does not place it back into the bag.
B. This is an example of a dependent event because she draws a name and does not place it back into the bag.
C. This is not an independent or dependent event because she should let all three of her friends come to the party.
D. none of the above

Answers

Answer:

B

Step-by-step explanation:

Because she doesn't put it back in the bag.

i’d go with B !!!!!!!!

If half the product of thirteen and a number is at least as big as one and five eighths less than the product of eight and one eighth and four fifths. Write and inequality and solve it to find the number. I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST so plz send in your answers and Happy holidays

Answers

Answer:

6.5 is your answer

Step-by-step explanation:

half of 13: 6.5 1 5/8 less8 1/8 x 4/5 = 6.5

Answer:1/2(13x)≥8 1/8(4/5)-1 5/8

1/2(13x)≥65/8(4/5)-13/8

L.C.M=16

16×1/2(13x)≥16×65/8×4/5-16×13/8

110x≥26×4-26

110x≥104-26

110x≥78

110x/110≥78/110

x≥0.70

Am not too sure so go through

Step-by-step explanation:

Can some please help me?

Can some please help me?

Answers

Answer:

ofc 8374747374743i3i3i383

1. (-6)^2+5

5. 16t^4/8t^4

9. 6^3+6+4/6^2+3+3



THE ADDITION PART IS STILL EXPONENTS
I hope that was easy to understand, here’s a guide if you need it in the future

whats is the answer to the equation 10+43

Answers

Answer:

53

Step-by-step explanation:

53.

easy way to do this is line up and add.

help pls falling behind :< basically cylinders,cones,and triangles

Answers

Answer:

I Get You

Step-by-step explanation:

But Also I Can't See The Picture

Answer:

Step-by-step explanation:

Write 7^3 x 7^2 using a singular exponent.

Answers

Answer:

7^5

Step-by-step explanation:

The base number (7) is the same, so we can just add the exponents together.

Hope that helped!

To write 7^3 x 7^2 using a singular exponent, you can add the exponents together since the bases (7) are the same. The result is:

7^3 x 7^2 = 7^(3 + 2) = 7^5\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

The temperature in Grand Rapids, Michigan on January 8 was 30 degrees Fahrenheit. The temperature two days later was -8 degrees Fahrenheit. What was the difference in temperature between the two days?
-38 degrees Fahrenheit
-22 degrees Fahrenheit
22 degrees Fahrenheit
38 degrees Fahrenheit

Answers

the answer is -38 fahrenheit.
It’s -38 degrees Fahrenheit

Find the fraction from the 100 grid:
PLEASE

Find the fraction from the 100 grid:PLEASE

Answers

it’s 72/100 all you have to do is count all the blue square, there’s also 100 squares in total so that makes it 72/100
72/100 if you need simplified it is 18/25

Point of view in a story quick check all answers HELP asap

Answers

where is the question

Answer:

Maybe write the question for others to help please.

Step-by-step explanation:

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