what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Answers
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
Related Questions
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Answers
Evaluate: 19 - 3k] = 3
Answers
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
Plz solve it And show ur work plzzz giving brainliest
Answers
Answer:
Step-by-step explanation:
4 x 6 1/4
4 x 25/4
= 25
A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicycles sold from last year to this year? Round to the nearest percent
Answers
Answer:
12.5%
Step-by-step explanation:
Given data
Number of bicycles sold last year= 655
Number of bicycles sold this year= 582
%percent change= Iniitial -FInal/initial *100
%percent change= 655-582/582*100
%percent change= 73/582 *100
%percent change=0.125 *100
%percent change=12.5%
Hence the percent change is 12.5%
The radius of Cylinder A measures ____ feet.
14, 7, 10
The radius of Cylinder B measures ____ feet.
1.4, 2.8, 5.7
Answers
Answer:
The radius of Cylinder A measures 7 feet.
The radius of Cylinder B measures 2.8 feet.
Step-by-step explanation:
The radius of Cylinder A measures 7 feet.
because the radious is half of the diameter and 14 is the diameter
The radius of Cylinder B measures 2.8 feet.
Answer:
Cylinder A's radius is 7 because the radius is diameter divided by 2.
Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is
11.8 ft and the height of the pyramid is 5.2 ft. Round your answer to the nearest
tenth of a cubic foot.
Answers
Answer:
241.3ft^3
Step-by-step explanation:
Volume of Pyramid:
V=\frac{1}{3}Bh
V=
3
1
Bh
\text{Side length of base}=11.8
Side length of base=11.8
\text{Area of base}=11.8^2=139.24
Area of base=11.8
2
=139.24
B=
B=
\,\,139.24
139.24
h=
h=
\,\,5.2
5.2
V=
V=
\,\,\frac{1}{3}Bh
3
1
Bh
V=
V=
\,\,\frac{1}{3}(139.24)(5.2)
3
1
(139.24)(5.2)
V=
V=
\,\,241.3493333
241.3493333
In the Figure, △ABC ≅ △FDE
Answers
convert pounds to ounces complete the following table Its due tomorrow
Answers
Answer:
64, 80, 96, and 112.
Step-by-step explanation:
Well, one pound equals 16 onces so you can multiply the number of pounds by 16 to get the answer. I hope this helps! Have a great rest of your day!
answer this qustion plz and if get right i might give you brainlist
Answers
Answer:
A
Step-by-step explanation:
SO right off the bat it cannot be c, for they do definatly change.
Next, lets find out how much they change by.
The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.
This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.
Now, the mean is already 500/4. This equals 125.
So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.
That is 500/5. This equals 100.
This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25
That is 5x more of a decrease than the mean.
SO it must be A, since the mean decreased more than the median.
The Student Athletes Club has a
monthly budget of x dollars. Every
month $500 is spent on transportation
One-third of the remaining budget is
spent on monthly activities. Which
function can be used to find the
amount in dollars spent on monthly
activities?
A f(x)= *
1-500
4
*+500
B f(x) =
C f(x) = 500 -
D f(x) = 500 +
A.2(C)
Answers
Answer:
Step-by-step explanation:
plssssss help
10-5?????
Answers
Answer:
2220
Step-by-step explanation:
5 thanks
Answer:
5
Step-by-step explanation:
yes
Calculate 10% of $20.00.
Answers
Answer:
$2
Step-by-step explanation:
Divide $20 by 10 for 10 percent.
Determine if the following is Infinite solutions, one solution, or no solutions
x+y=4
2x+2y=8
Answers
Answer:
30
Step-by-step explanation:
infinite solutions cause when you take out the 2 from the bottom equation, you get x + y = 4, which is the exact same equation as the first one, so literally any two values will result in the same for both
PLZ HELP QUICK
The area of a rectangle is represented by3x^{2}-10x-8. Which expression can also be used to represent the area of the same rectangle? explain your thinking.
1) (3x + 2)(x − 4)
2) (3x + 2)(x + 4)
3) (3x + 4)(x − 2)
4) (3x − 4)(x + 2)
Answers
just factorise it so the answer will be (3x+2)(x-4)
How many whole numbers are there with not more than 4 digits IF YOU PUT A LINK OR UNHELPFUL ANSWER I WILL REPORT I WILL GIVE BRAINLIEST
Answers
Answer:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
what 1 +1x5-5x9 i really need to know this by the next second
Answers
Answer: -39
Step-by-step explanation:
Hope this helps.
Find the length of each arc. Use the exact answer
Answers
Answer:
D) 16π/3 ft
Step-by-step explanation:
We solve the above question using the Arc length formula when our central angle is in degrees
The formula is given as:
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
Hence,
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
Arc length = 16π/3 ft
Option D is the correct option
Number 1 please if you can explain work
Answers
Answer:
Triangle DEF is similar the XYZ
Step-by-step explanation:
Because if you divide 10 by 18, you get 0.555555...
If you divide 14 by 25.2, you get 0.5555555.....
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answers
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answers
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answers
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
Help ASAP !!!!!!!!!!!!!!!!!!
Answers
Answer:
1
Step-by-step explanation:
it's basically the peak/ center.
Seventy-five 6th grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade? *
Answers
Answer:
300 students in total
Step-by-step explanation:
25% out of 300 is 75
300 - 75 (25%) = 225
25% (75) + 75% (225) = 100% (300)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
300
Step-by-step explanation:
describe distributive property
Answers
Answer:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Step-by-step explanation:
Answer:
it generalized the law of algebra in which we have to do numbers to nearest 10 100 1000....
Please help giving brainliest for the correct answer
Answers
Answer:
6 SQUARE CENTIMETERS
Step-by-step explanation:
It's pretty easy you just add it
but with different shapes you can multiply but fo this its 6
Brainliest if im right!
Answer:
6 square centimeters AKA C
Step-by-step explanation: I took the test
A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy bar the price of one energy bar is two dollars
Answers
The question is incomplete:
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.
Answer:
x=44+22w, where
x is the total amount paid
w is the price of a bottle of water
Step-by-step explanation:
With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:
price per energy bar= $2
number of enrgy bars= 22
price per bottle of water= w
number of bottles of water= 22
x=(2*22)+(w*22)
x=44+22w, where
x is the total amount paid
w is the price of a bottle of water
what special characteristics did mahavira share with paul mcCartney?
Answers
Answer:
both vegetarians
Step-by-step explanation:
HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!
Answers
(1,0)
(3,0)
(1,-2)
(5,-2)
put these points on the graph
Pls help !!!!!!!!!!!!
Answers
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
Quel est la vitesse moyenne de 108 km/h en m/s
Answers
Answer:
108 km/h = 30 m/s
Step-by-step explanation:
1 km = 1,000 m, 1 hr = 3,600 sec.
108 × 5 ÷ 18 = 30
Answer:
En effet, 108 km/h = 30 m/s
Step-by-step explanation:
mais pourquoi la question est-elle en fr ?