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.
Answers
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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...
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
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.
Answer:
false
Step-by-step explanation:
Hey sorry to bother but i need this done as fast as possible. "Solve the system without graphing. Explain in steps. 3x=8+y, 4x-3y=1
Answers
3x-8= y
Let x = 0
3(0)-8 = y
y= -8
Isolate x
4x-3y=1
4x=1+3y
Let y= 0
4x = 1+ 3(0)
4x= 1
Divide both sides by 4
x= 1/4
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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Can someone please solve this before my mom takes away my phone?
Answers
Option 1 and option 3 are the same answer so I personally would go with option 2.
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)
Therefore,
the rate of feet per minute will be the feet divided by the minutes;
18 feet in 3 minutes = 18/3 ft/min
Therefore the rate is 6 feet per minute.
IF you need an explanation on what average rate implies:
Note; the word average is not prudent to answer as its extraneous, however if there was more data like "Cami descends 18 ft in 3 min and Nami descends 9 ft in 3 minutes; whats the average rate at which they descend" then you'd have to add the two rates up and divide by two.
Hope this helps :)
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
Answers
Answer:
ask someone i know a good app its called brainly
Step-by-step explanation:
yup
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answers
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
use the slope-intercept form to graph y=3/5x-3
Answers
Answer:
Step-by-step explanation:
Helpppppp pleaseeeee
Answers
Answer:F(x)=3
Step-by-step explanation:
KK!
The sum of two numbers is twenty-five. One number is five less then the other number. Find the larger number
Answers
Answer:
15
Step-by-step explanation:
10 is 5 less than fifteen.
Sorry if its wrong
Find an equivalent ratio in simplest terms 42:90
Answers
Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v
Answers
Answer:
50+10v should be the right 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
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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
In this equation you can see that there are 2 points (-5,-5) and (1,4)
If you substitute, you will get
4+5/1+5
9/6 and if you simplify this, you will get 3/2
Now that we have the slope, we just have to use y=mx+b
(I'm using the point (1,4)) 4=3/2(1)+b
4=3/2+b
5/2=b
Write an equation for a line that passes through (3, -4) & has a slope of -3.
Answers
Answer:
The answer is
[tex] \huge y = - 3x + 5[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 4 = - 3(x - 3) \\ y + 4 = - 3x + 9 \\ y = - 3x + 9 - 4[/tex]
We have the final answer as
[tex]y = - 3x + 5[/tex]
Hope this helps you
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!
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
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.)
PLEASE ANSWER ASAP!!!!
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Answer:
Step-by-step explanation:
you suck
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)
0 + 8 - (5*0) = 2(4- (2*0))
8 = 8
Tada!!!
ratios that are equivalent to 40:28
Answers
Answer:
10:7
Step-by-step explanation:
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)
where (X = number of rides, Y = number of games)
For example: (2,3) means 2 rides and 3 games
Answers
Answer:
i tried but i dont understand sorry
Step-by-step explanation:
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?
–90
–78
–66
–12
Answers
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
I need help with this
Answers
Answer:
124 degrees
Step-by-step explanation:
x=24 so if you plug in the value and solve it is 124 degrees
Mary left the place called Apton and rode towards the place Brandon at the same speed for 2 hours. She reached the sign shown below. Mary continues to ride at the same speed towards Brandon. How many hours will it take for her to ride from the sign to Brandon?
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:
Step 1: Determining the average speed of Mary
At the sign, it shows that Mary has travelled 30 km from Apton in 2 hours to get to the sign.
Therefore, the average speed of Mary is given by;
average speed = total distance/time taken
average speed = 30 km/ 2 hours = 15 km/hr
Step 2: determining the time taken to get to Brandon
Also, from the sign, it can be seen that Brandon is still 45 km ahead. Since Mary continues at the same speed, the time taken will be;
time taken = total distance/average speed
time taken = 45 km/ 15 km/hr
time taken = 3 hours
No cheaters when I say steps I mean steps!!!! If you cheat you'll wish you didnt
I don't just want the answer I want the steps to get to the answer steps steps steps plss I'm dying right now I've been doing school all day and I'm freaking out please help and explain answer
Whats 10.53+14.5+6.9+6.3+6.8
Show all your work or else don't answer at all.
Answers
If a bike wheel has a diameter of 18 cm how far does it travel in 1 rotation?
Answers
Answer:
about 56.5 cm, or 18pi cm
Step-by-step explanation:
circumference is pi times diameter... please mark brainliest if this helped!!
Walmart is selling 3 lemons for $1.20.how many does 25 lemons cost
Answers
Answer:
10USD
Step-by-step explanation:
For each lemon: 1.20/3=0.4
for 25: 0.4*25=10USD
What is 3 groups of 1/8
Answers
Answer:
3/8
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.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Given that: 3 groups of 1/8
Then the number 3 and 1/8 is multiplied. Then the expression will be
⇒ 3 × 1/8
⇒ 3 / 8
Then the 3 groups of 1/8 will be 3/8.
More about the Algebra link is given below.
https://brainly.com/question/953809
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What is the slope of the line . Khan academy. Need help . Explain if you can
Answers
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:
pleaae help me
I WILL MARK YOU AS BRAINLIEST
Answers
Answer:
50%
Step-by-step explanation:
Answer:
50% each part is worth 25 %
Step-by-step explanation:
EASY