In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC. Find the perimeter of triangle ABC.

In The Figure Below, D Is The Midpoint Of AB, E Is The Midpoint Of BC, And F Is The Midpoint Of AC. Find

Answers

Answer 1

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(( E )) is the midpoint of BC ,

Thus ;

[tex]BE = CE = 6[/tex]

So :

[tex]BC = 12[/tex]

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[tex] \frac{AC}{2} = DE \\ [/tex]

[tex] \frac{AC}{2} = 7.5 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AC}{2} = 2 \times 7.5 \\ [/tex]

[tex]AC = 15[/tex]

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[tex] \frac{AB}{2} = EF \\ [/tex]

[tex] \frac{AB}{2} = 8 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AB}{2} = 2 \times 8 \\ [/tex]

[tex]AB = 16[/tex]

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[tex]∆ABC \: \: Perimeter =

AB + BC + AC \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 16 + 12 + 15 \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 43[/tex]

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Done...

Answer 2

The perimeter of triangle ABC is 43.

The calculation is as follows:

Since BE = CE = 6

So, BC = 12

Now

[tex]AC \div 2 = DE\\\\AC\div 2 = 7.5[/tex]

Now multiplied sides by 2

So,

[tex]2\times AC \div 2 = DE\\\\AC\div 2 = 7.5 \times 2[/tex]

AC = 15

Half of AB = EF

AB = 16

Now the perimeter is

= AB + BC + AC

= 16 + 12 + 15

= 43

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Related Questions

Find an equivalent ratio in simplest terms 42:90

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7/15 is the simplified fraction for 42/90

What is the slope of the line . Khan academy. Need help . Explain if you can

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Answer:

The slope is [tex]\frac{2}{5}[/tex], or 2 over 5.

Step-by-step explanation:

Slope = rise over run

Rise is 2

Run is 5

Slope is 2 over 5

Answer:

2/5

Step-by-step explanation:

Which of the following is true given that -4> -9? ОА. -4 is at the same place as -9 on a horizontal number line OB. -4 is the opposite of -9 on a horizontal number line OC. -4 is to the right of -9 on a horizontal number line OD. -4 is to the left of -9 on a horizontal number line Reset Sub​

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Answer:

ask someone i know a good app its called brainly

Step-by-step explanation:

yup

Help :/
Find the length of AB
A. 15
B. 20
C. 21
D. 24

Answers

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[tex] \frac{14}{12} = \frac{AB}{18} \\ [/tex]

[tex] \frac{7}{6} = \frac{AB}{18} \\ [/tex]

Multiply sides by 18

[tex]18 \times \frac{7}{6} =18 \times \frac{AB}{18} \\ [/tex]

[tex]3 \times 7 = AB[/tex]

[tex]AB = 21[/tex]

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Thus the correct answer is (( C )) .

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It would be C if i’m not mistaken thank you.

Paola can run 300 meters in 15 seconds. If she runs at a constant rate,
how long does it take to run 400 meters?

Answers

16 meters 16meters 16meters

Please no fakes this is the last of my points please try really hard to figure out this problem. if you don't get it go to another person question then answer it please just dont say idk. im beggin you!!! :(

Answers

Answer:

A.

- Line 1 - Dead Sea

- Line 2 - Lake Assal

- Line 3 - Laguna del Carbon

- Line 4 - Death Valley

B.

Lake because it is closer to zero on a number line than Death Valley

C.

-8 < -282 < 0

Hope This Helps! And so sorry it tool me so long to answer!

Here are two similar solid toys.
A
B
The ratio surface area of toy A : surface area of toy B is 7:9
The volume of toy B is 20 cm
I
Work out the volume of toy A.
Give your answer correct to 3 significant figures.

Answers

Answer:

13.7

Step-by-step explanation:

7*k²=9

k²=9/7

k=√9/7

k=1.133893419

20/1.133893419³=13.7

The volume of toy A will be equal to 13.7 cubic centimetres.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio surface area of toy A: to the surface area of toy B is 7:9. The volume of toy B is 20 cm

The computation of the volume of toy A is shown below:

7 × k²=9

k²= 9 ÷ 7

k=√(9 ÷ 7)

k = 1.133893419

Now

The volume of toy A = 20 ÷ 1.133893419³

The volume of toy A = 13.7 cubic centimetres

Therefore, the volume of toy A will be equal to 13.7 cubic centimetres.

The missing figure is attached with the answer below.

To know more about ratios and proportions follow

https://brainly.com/question/2914376

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Annie bought a gym membership that cost $50 when she signed up and
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Answer:

50+10v should be the right answer.

A triangle can have sides of 12, 19, and 30.
True or false

Answers

Answer:

True

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides of a triangle has to be greater than the third side. 12+19 = 31 which is more than 30 so a triangle can have sides of 12, 19 and 30.

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use the slope-intercept form to graph y=3/5x-3

Answers

Answer:

Step-by-step explanation:

r + 8 - 5r = 2(4 - 2r) solve for r please

Answers

-4r + 8 = 8 - 4r

0 = 0 so it's like {}

Answer:

r = 0

Step-by-step explanation:

This is actually the first time I've actually had a equation with the variable equaling 0.

so first things first you have the equation:

r + 8 - 5r = 2(4 - 2r)

so you are going to add or multiply all the variable numbers together and the none variable numbers together like so:

r + (-5r) and (2*4) and (2* (-2r)) to get the equation looking like so:

8+ (-4r)= 8 -4r

you then add -4r to both sides to get this equation:

8+ ( -4r)= 8 -4r

    + 4r       +4r

8 = 8 + r

you then subtract 8 from both sides to get r:

8 = 8 + r

-8  -8

0 = r

to check substitute the 0 into r in the equation:

r + 8 - 5r = 2(4 - 2r)

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Tada!!!

Find an equation for the line below.
Help me please :(

Answers

Answer:

y=3/2x+5/2

Step-by-step explanation:

I used the Y2-Y1/X2-X1

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NO JOKING AROUND OR I WILL REPORT WHO EVER DOES

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
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Answer:

Step-by-step explanation:

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Answers

I take 10.53 and 14.5 first, then add those up to 25.03, then save it for later, then 6.9 and 6.3, and add those into 13.2, then add 6.8 to the smallest of the two I have, then getting 20, and then I add the rest into 45.03.

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Answer:

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Answers

Answer:

Time taken by Mary to get to Brandon = 3 hours

Note: The complete question is found in the attachment below

Step-by-step explanation:

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The Gwinnett fair is in town!! You and your friends decided to meet at the fair this weekend. You have earned $50 from math tutoring available to spend. Each ride costs $3 and each game costs $2. However, you don’t want to spend ALL your money on games and rides!



What are 5 possible combinations of rides and games that you could purchase without spending all of your money? Write your responses as ordered pairs (X,Y)

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Answers

Answer:

i tried but i dont understand sorry

Step-by-step explanation:

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pleaae help me
I WILL MARK YOU AS BRAINLIEST ​

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

EASY

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x=24 so if you plug in the value and solve it is 124 degrees

ratios that are equivalent to 40:28

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10:7

Step-by-step explanation:

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Answer:

The answer is

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The 3 groups of 1/8 will be 3/8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

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Given that: 3 groups of 1/8

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⇒ 3 × 1/8

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More about the Algebra link is given below.

https://brainly.com/question/953809

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The sum of two numbers is twenty-five. One number is five less then the other number. Find the larger number

Answers

Answer:

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Step-by-step explanation:

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Sorry if its wrong

Cami goes scuba diving. She descends 18 feet in 3 minutes. Which expressions represent the average rate at which Cami’s position changes in feet per minute?

Answers

Answer:

6 ft/min

Step-by-step explanation:

Theres a neat trick to note; whenever you say per think of it as a fancy word for divide, because the label is always gonna be a/b (a per b)

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Hope this helps :)

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