Line segment BD divides trapezoid ABCE into a rectangle and a right
triangle as shown. What is the perimeter of the trapezoid?
Answers
===========================================================
Explanation:
Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.
Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
(BD)^2 + (CD)^2 = (BC)^2
24^2 + x^2 = 25^2
576 + x^2 = 625
x^2 = 625 - 576
x^2 = 49
x = sqrt(49)
x = 7
Segment CD is 7 units long.
Since ED = 20, this means,
EC = ED + DC
EC = 20 + 7
EC = 27
The perimeter of this trapezoid is
P = sum of all exterior sides
P = AB+BC+CE+EA
P = 20+25+27+24
P = 96 units
Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.
96
Explanation:
Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.
Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x
576 + x^2 = 625
x^2 = 625 - 576
x^2 = 49
x = sqrt(49)
x = 7
Segment CD is 7 units long.
Since ED = 20, this means,
EC = ED + DC
EC = 20 + 7
EC = 27
The perimeter of this trapezoid is
P = sum of all exterior sides
P = AB+BC+CE+EA
P = 20+25+27+24
P = 96 units
Related Questions
For every 2 apples in Kali’s orchard, there are 4 pears. In Sam’s orchard, there are 10 pears for every 5 apples. If the number of pears is proportional to the number of apples, what is the constant of proportionality
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Answer:
ggycv
Step-by-step explanation:
Find
1/4 divided by 2/9. Input your answer as a reduced fraction.
Answers
Answer:
9/8
Step-by-step explanation:
The solution of the expression '1/4 divided by 2/9' in a reduced fraction is 9/8.
Used the concept of division which states that,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
1/4 divided by 2/9.
Now, divide the numbers and find the reduced fraction as,
1/4 divided by 2/9
It can be written as,
[tex]\dfrac{1}{4} \div \dfrac{2}{9}[/tex]
[tex]\dfrac{1}{4} \times \dfrac{9}{2}[/tex]
[tex]\dfrac{9}{8}[/tex]
So, the solution is 9/8.
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Find the measurements of ∠A, ∠B, ∠C, ∠E, ∠F, ∠G, and ∠H. 66°=∠D
∠A= ∠E= ∠H=
∠B= ∠F=
∠C= ∠G=
Answers
Answer:
The answer is
[tex] < a = < e = < h = < c = < g = 66 \\ < b = < f = 114[/tex]
Step-by-step explanation:
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
HELP ME PLEASE I NEED HELP
Answers
9514 1404 393
Answer:
(b) x = 6; ...
Step-by-step explanation:
The products of the segment lengths for each chord are the same:
FA×FB = FC×FD
FA×3 = 2×9
FA = 18/3 = 6
x = 6
__
AB = FA +FB = 6 + 3 = 9
CD = FC +FD = 2 +9 = 11
__
(x, AB, CD) = (6, 9, 11)
PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST
Answers
Answer:
2
Step-by-step explanation:
(6*2.5)/6.5 = 30/13
Answer:I think its B 30/13
Step-by-step explanation:
I used a calculator
Plz help me I will give brainliest!
Answers
Answer:
0.38m
Step-by-step explanation:
1 1/4 m= 1.25m
1.25-0.87m
=0.38m
Answer:
the snake grows 0.38m
Step-by-step explanation:
To find out how much the snake grows you need to find the differences between the length of the snake after and the length before, this means you do:
the grow = the length of the snake after - the length of the snake before
= [tex]1\frac{1}{4}[/tex] - 0.87
= 1.25 - 0.87
= 0.38m
so the snake grows 0.38m
David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be
With solution po
Answers
Answer:
-$660.00
Step-by-step explanation:
1327-1987= -660
find for N
-18 = n/20
Answers
-18 = n/20
n = -18 × 20
n = -360
Hiiioo could someone please help me please ❤️if not that’s otay tooo
Answers
Answer:
3
Step-by-step explanation:
3
roots: −1.5+2.59807621i, −1.5−2.59807621i
it's a perfect cube
cube root of 27 is 3
Determine which fraction is larger: 2/5 or 1/4
Answers
Answer:
Step-by-step explanation:
1/4 ...............................................................
Answer: 2/5
Step-by-step explanation:
Write the following expression using a single exponent.
(8⁵)² × 8⁶
Answers
Answer:
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Step-by-step explanation:
(8)^10 * 8^68^10-68^4 4096 answerSam took his savings to the bank and deposited them in a Certificate of Deposit (CD) account. He was told that he would collect the full interest in 260 weeks. How many years would Sam have to wait to collect the full interest
Answers
Answer:
5
Step-by-step explanation:
260 weeks divided by however many weeks in a year which is 365÷7 which is 52.14 so it would be rounded to 52
260÷52⇒5
Evaluate the expression, 7x+8(x-3). Assume that x=4.
Answers
Answer:
36 answer
Step-by-step explanation:
i hope it will help u
swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
Which equation represents the axis of symmetry? 1) x=3
2) y=3
3) x=23
4) y=23
Answers
Answer:
2
Step-by-step explanation:
find three consecutive numbers that add up to 60
Answers
Answer:
60/3=20
20/21
Step-by-step explanation:
The bases of a cylinder have a diameter of 4 inches. The height of the cylinder is 6 inches. What is the total surface area of the cylinder?
Answers
Answer:
Step-by-step explanation:
area of base = π4² = 16π in²
lateral area = 2πrh = 2π·4·6 = 48π in²
surface area = 2×16π + 48π = 80π in² ≅ 251.3 in²
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Step-by-step explanation:
(the area of a circle*2) + (the circumference*the height) = the surface area of the circle
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The cook at IHOP can make 72 pancakes in 3 hours. How many pancakes can she make in 9 hours? Create a table. state your answer clearly with a label
Answers
Answer:
216 pancakes every 9 hours
Step-by-step explanation:
9/3 = 3
72 x 3 = 216
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Answers
Answer:
right i can't see the puestion
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Asif would pay $2400 for a jacket if the price was reduced by 40% what is the the original price of the jacket
Answers
Answer: $4,000
Step-by-step explanation:
If the price of the jacket is reduced by 40%, it ends up being $2,400.
Assuming the original price is x, the expression will be:
x - (40% * x) = 2,400
x - 0.4x = 2,400
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x = 2,400 / 0.6
x = $4,000
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Which function has a removable discontinuity at x = 7?
Answers
9514 1404 393
Answer:
(b) see below
Step-by-step explanation:
A removable discontinuity exists when the function is undefined at a point where the limit exists.
Choices A, C, D have no limit at x=7 (does not exist).
__
Choice B can be simplified to ...
f(x) = (x -3)(x -7)/(x -7)
f(x) = (x -3) . . . . . . . x ≠ 7 (domain restriction; undefined at x = 7)
The discontinuity in this function can be removed by defining the function to be f(x) = x-3 everywhere.
Answer:
B
Step-by-step explanation:
Got it right
Miguel is making trail mix. He uses 513 ounces of nuts and 234 ounces of raisins. Which of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses?
Answers
Answer:
2.58 more nuts Miguel uses than raisins
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Pls help easy points question On the photo
Answers
Tomatoes : spinach = 9:9 = 1:1
Spinach : chicken broth = 9:15 = 3:5
b) tomatoes : chicken broth = 4.5:7.5 = still 3:5
Tomatoes to spinach is still 1:1
Spinach : chicken broth 4.5:7.5 still = 3:5
Dividing all quantities by 2 doesn’t change the ratio.
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The angles are complementary.
The angles are supplementary.
Answers
Answer:
The angles are supplementary
Step-by-step explanation:
Complementary angles amount to 90 degrees when added together.
Supplementary angles amount to 180 when added together.
82 + 98 = 180
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A shopkeeper bought an almirah from aWholesaler for & 5ooo and sold itfor $5700. Find his profit or less or
persent
.
Answers
Answer:
c.p.= 5000
s.p.=5700
selling price is greeter than cost pries
then their is a profit
profit=S.p.- c.p.
p=5700-5000
so the profit was the rupees=700
the shopkeeper had a profit of rupees of 700.
Step-by-step explanation:
3n + 8 = 53
I don’t understand how to find the n
Answers
Answer:
n=15
Step-by-step explanation:
subtract 8 from both sides to get 3n=45
divide both sides by 3 to solve for n to get n=15
Answer:
n = 15
Step-by-step explanation:
3n + 8 = 53
the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting
3n = 45
next step, we are going to isolate the n by dividing by 3 on both sides of the equation
3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer
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george has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x^2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.
the new store will sell 900 items in its fifth month in business
the store will have a profit of $900 after its fifth month in business
the store will have a profit of $5400 after its fifth month in business
the new store will sell 5400 items in its fifth month in business
Answers
Answer:
Step-by-step explanation:
The correct answer is that the new store will have a profit of $5400 after its fifth month.
Profit is given by subtracting revenue minus cost:
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9
Using 5 for x,
(R-C)(5) = 9(5) + 9 = 45+9 = 54
This is in hundreds of dollars, so it represents $5400.
6 feet
4.5 feet
3 feet
The rectangles are similar. What is the length in feet of the smaller
rectangle?
A 4
B. 4.2
C. 5
D. 5.5
Answers
Answer:
140
Step-by-step explanation:
(7/4) (80) =140 this is the answer for you.
Plz answer it corectly
Answers
Please help! I need the steps too!
Answers
Answer:
The answer is -3 2/7
Step-by-step explanation:
5- 1x1 - -4x4 + 3/2-1-4-4
5 - 1 +16+3/2-1-4-4
4+16+3/-7
23/-7
or - 3 2/7
PLZ HELP, 3 * 2/15 exsplain how you got it too. i just need an exsplaination. step by step.
Answers
Answer:
2/5
Step-by-step explanation:
you will first put a one for the denomenator for 3 to make it a fraction, then oyu multiply across, lastly simplfy by 3
Answer:
8/15
Step-by-step explanation:
4x2=8
5x3=15
