In the figure, AB||CB. If CD:BA = 6:5 and the area of CED is 288, find the area of BEA
Answers
5b1:6b2
5h1:6b2
Area of large triangle:
1/2 bh = 1/2 (6)6x = 288
18x = 288
x = 16 = ratio factor to be applied to smaller
So now the small triangle is:
1/2 (5)(5x) = (25/2)x = (25/2)(16) = 25×8 = 200
Answer:
The area of BEA is 200 square units.
Step-by-step explanation:
Given information: AB||CD and CD:BA = 6:5.
Let the length of sides CD and BA are 6x and 5x respectively.
If a transversal line intersect two parallel lines, then the alternative interior angles are equal.
[tex]\angle EAB=\angle EDC[/tex] (Alternate interior angles)
[tex]\angle EBA=\angle ECD[/tex] (Alternate interior angles)
[tex]\angle AEB=\angle DEC[/tex] (Vertically opposite angles)
By AAA property of similarity,
[tex]\triangle ABE\sim \triangle DEC[/tex]
The area of two similar triangles is proportional to the square of their corresponding sides.
[tex]\frac{Area(CED)}{Area(BEA)}=\frac{CD^2}{BA^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{(6x)^2}{(5x)^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{36x^2}{25x^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{36}{25}[/tex]
[tex]288\times 25=36\times Area(BEA)[/tex]
[tex]7200=36\times Area(BEA)[/tex]
Divide both sides by 36.
[tex]200=Area(BEA)[/tex]
Therefore the area of BEA is 200 square units.
Related Questions
How to solve 5x-9y=7 and -3x+7y=-5 using any method
Answers
The x value will give 0.5 and the y value will be equal to -0.5
I hope this helps.
YOU'RE WELCOME :D
The function f(x) is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
f(x)=_______
Answers
___________________________________
What does it mean for data on a scatter plot to have no association? How does that affect the line of best fit?
Answers
For instance, let's say that I was going to plot (x,y) where x represented somebody's first name, and y represented how old they were
Does a person's name determine their age? Of course not, so there would be no association, or CORRELATION, which means there would not be a way to put in a line of best fit for this.
Hope this helps.
Brian
Answer:
If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship
Step-by-step explanation:
What is 75% of 400 write evaluate an expression to find the answer.then explain how touse the model to justify the answer?
Answers
75 /100 x 400 =
75 x400/ 100=
300
I like to do it this way :
100% = 400
1%= 400/100
= 4
75%= 4 x75
= 300
Hope this helps :))
~Top
which statement is equivalent to the inequality 14x-14>7x+7
Answers
14x - 7x > 7 + 14
7x > 21
x > 21/7
x > 3
1. Can √72 be completely simplified if it is broken up as √72=√9x8, explain why or why not?
2. How do you determine the result of taking the square root of a variable raised to an even power? For example √x∧28?
Answers
2. sqrt x = x^½. Rules of indices states for a power of a power, you times them.
so (x^28)^½ = x^14
PLZ HELP
Mrs. Kuss received a $50 Itunes gift card for her birthday. She bought one album for $9.99 and would like to see how much money she has left to buy single songs. If each song costs $1.29, how many songs can Mrs. Kuss buy with her remaining money? Show your work.
Answers
50.00-9.99 = 40.01
40.01 / 1.29 = 31.0
Based on the lines 5 and 6, what is the best meaning of treasure divine? precious item inconsequential object frivolous amulet incredible wealth
Answers
What is the value of the expression when a = 4, b = 3 ,and c = 10?
3a/4b−c
1
4
6
12
Answers
Give the first four nonzero terms of the series about x=8 representing the function x^(1/3)
Answers
Solve the equation for z and approximate the value of z
0.5*e^4z =13
Answers
There is a sales tax of $6 on an item that cost $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before tax?
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Classify the expression 7x3 + 2x2 − 9 as a monomial, binomial, trinomial or polynomial.
Answers
Please put down the steps?
Answers
__________________________________________
Explanation:
__________________________________________
Given:
__________________________________________
" √(x + 1) − 1 = x " ; Solve for "x" ;
First, let us assume that "x ≥ -1 "
Add "1" to EACH SIDE of the equation:
→ √(x + 1) − 1 + 1 = x + 1 ;
to get:
→ √(x + 1) = x + 1 .
Now, "square" EACH side of the equation:
→ [√(x + 1) ]² = (x + 1 )² ;
to get:
x + 1 = (x + 1)²
↔ (x + 1)² = (x + 1) .
Expand the "left-hand side" of the equation:
→ (x + 1)² = (x + 1)(x +1) ;
Note: (a+b)(c+d) = ac +ad + bc + bd ;
As such: (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
= x² + 1x + 1x + 1 ;
= x² + 2x + 1 ;
Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
__________________________________________
" (x + 1)² = (x + 1)(x +1) " ;
→ Rewrite as: " x² + 2x + 1 = x + 1 " ;
Subtract "x" ; and subtract "1" ; from EACH SIDE of the equation:
→ x² + 2x + 1 - x - 1 = x + 1 - x - 1 ;
to get: → x² − x = 0
Factor out an "x" on the "left-hand side" of the equation:
___________________________________________
x² − x = x(x − 1) ;
→ x (x − 1) = 0 ;
We have: "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .
So, one value of "x" is "0" .
The other value for "x" ;
→ x − 1 = 0 ;
Add "1" to each side of the equation:
→ x − 1 + 1 = 0 + 1 ;
→ x = 1 ;
__________________________________
So, the answers:
" x = 0, 1 " .
_________________________________
Brock is a plumber. He charges a flat rate of $40 to visit a house to inspect it's plumbing. He charges an additional $20 for every hour he spends inspecting or making repairs.
Which graph below correctly shows the price of using Brock's plumbing service vs time?
Answers
W is correct. the red line starts at 40 which is the initial fee
then it crosses 60 and 1.0 and 80 at 2.0 which is 20 dollars for 1 hour
If one quart is the same amount as 2 pints, how many pints are in 8 quarts?
Numerical Answers Expected!
Answers
Answer:
16!
Step-by-step explanation: Hope this helps.... you made this in 2017 its 2020 now-
For an arithmetic sequence where a1 = 13 and the common difference is 3, find s7.
A. 162
B. 157
C. 154
D. 151
Answers
s7 means n=7
a7=7/2[2(13)+(7-1)(3)]=7/2(44)=154
Ans:C
Answer:
C. 154
Step-by-step explanation:
Here we have given that,
First Term a₁ = 13
Common Difference d = 3
Term (n ) = 7
so, we have arithmetic sequence: 13, 16, 19, 22,... and so on
Thus Sum of first 7 terms = [tex]\frac{n}{2} [2a+(n-1)d][/tex]
= 7÷2 [2*13 + (7 - 1)*3 ]
= 3.5 [ 26 + 21 ]
= 154
Which of the following list of ordered pairs is a function?!!!
Answers
A trail is 2940 miles long. it begins in city a and ends in city
b. manfred has hiked three sevenths 3 /7 of the trail before. how many miles has he hiked?
Answers
Final answer:
Manfred has hiked 1260 miles of the trail, which is calculated by multiplying the total length of the trail (2940 miles) by the fraction of the trail he has completed (3/7).
Explanation:
To calculate the distance Manfred has hiked on the trail, we multiply the total length of the trail by the fraction of the trail he has completed. In this case, Manfred has hiked three sevenths (3/7) of the trail. The total distance of the trail is 2940 miles.
Distance Hiked = (Total Distance of Trail) × (Fraction of Trail Completed)
Distance Hiked = 2940 miles × (3/7)
Distance Hiked = 2940 miles × 0.4286
Distance Hiked = 1260 miles
Therefore, Manfred has hiked 1260 miles of the trail.
Bella babysits for two families each weekend. One family pays her $20. The other family pays her $22. Which expression represents the amount of money Bella has been paid after w weekends?
Answers
cindy had a party. She invited two guests. Her guests each invited four guests, and then those guests each invited three guests.
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What is the next term in the sequence 1/2 1/6 1/18 1/54
Answers
2*3=6
6*3=18
18*3=54
54*3=162
if MN = PQ AND PQ = RS then MN = RS
Answers
hich is an example of a proportional relationship?
A.The yogurt shop charges .30 per pound.
B.The yogurt shop charges .30 per pound plus $1.00 for the cup.
C.John ran 2 miles in 15 minutes then ran 3 miles in 20 minutes.
D.The car travelled 40 mph for half an hour and then travelled 60 mph for 2 hours
Answers
A packet of biscuits has a mass of 1 1/3 kg. Jason eats 2/5 of the packet. What is the mass of biscuits left?
Answers
2 / 5 = 6 / 15;
So. 11 / 3 - 2 / 5 = 55 / 15 - 6 / 15 = 49 / 15 = 3.26 kg is the mass of biscuits left.
The mass of biscuits left after Jason eats 2/5 of the packet is approximately 0.8 kg.
To find the mass of the biscuits left after Jason eats 2/5 of the packet, we need to calculate the mass of the biscuits he ate and then subtract it from the initial mass of the packet.
Given:
Mass of the packet of biscuits = 1 1/3 kg
First, let's convert 1 1/3 kg to an improper fraction:
1 1/3 = 3/3 + 1/3 = 4/3 kg
Now, to find the mass of the biscuits Jason ate, we can use the fact that he ate 2/5 of the packet:
Mass of biscuits Jason ate = (2/5) * (4/3) kg
Now, perform the multiplication:
Mass of biscuits Jason ate = (8/15) kg
To find the mass of biscuits left, we subtract the mass Jason ate from the initial mass of the packet:
Mass of biscuits left = 4/3 kg - 8/15 kg
To subtract fractions, we need to find a common denominator, which is 15 in this case:
Mass of biscuits left = (20/15) kg - (8/15) kg
Now, perform the subtraction:
Mass of biscuits left = 12/15 kg
Finally, let's simplify the fraction:
Mass of biscuits left = (12/15) * (1/3) kg
Mass of biscuits left ≈ 0.8 kg
Therefore, the mass of biscuits left after Jason eats 2/5 of the packet is approximately 0.8 kg.
For more details of mass :
https://brainly.com/question/22493549
#SPJ2
Is 55.56 greater than 55.65? I'm in a hurry so answer quick
Answers
Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is 7:3. If the book contains 500 pages in all, how many pages did Johnny reed and how many pages remain left?
Answers
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If Robbie wants to save money to buy a car, he must get a part-time job. Robbie started a new job yesterday at a grocery store. Robbie wants to save money. Robbie wants to buy a car. not possible If Robbie wants to save money, he must get a part-time job.
Answers
Final answer:
Using the Law of Detachment, we can conclude that Robbie wants to save money because he started a new job and the first condition states that he needs a job to save for a car.
Explanation:
Using the Law of Detachment, we can draw a conclusion from the following two statements:
If Robbie wants to save money to buy a car, he must get a part-time job.Robbie started a new job yesterday at a grocery store.Since Robbie started a new job, which is assumed to be part-time, we can conclude that Robbie wants to save money, as per the first statement which sets up a condition that needs to be fulfilled in order to save money. The specific intention of buying a car is not directly established, but it's often implied that people save for larger investments or expenses. The Law of Detachment only allows us to conclude propositions that directly follow from the given condition. Therefore, the direct conclusion we can draw here, based on the given statements and the Law of Detachment, is that Robbie wants to save money.
Final answer:
According to the Law of Detachment, Robbie wants to buy a car since he wants to save money and he has started a new job.
Explanation:
The Law of Detachment states that if we have a conditional statement of the form "If p, then q", and we know that p is true, then we can conclude that q is also true. In this case, let's analyze the given statements:
1. If Robbie wants to save money to buy a car, he must get a part-time job.
2. Robbie started a new job yesterday at a grocery store.
From statement 1, we can see that Robbie wanting to save money is the condition (p), and getting a part-time job is the conclusion (q). Since statement 2 confirms that Robbie has started a new job, which satisfies the condition (p), we can use the Law of Detachment to conclude that Robbie wants to save money (q) and therefore Robbie wants to buy a car (q). So, the conclusion is: that Robbie wants to buy a car.
HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7)
y−4=2/5(x−7)
Answers
slope(m) = 2/5
(-4,-7)....x1 = -4 and y1 = -7....pay attention to ur signs
now we sub
y - (-7) = 2/5(x - (-4)...not done yet
y + 7 = 2/5(x + 4) <===
Answer:
Correct option is:
y+7=2/5(x+4)
Step-by-step explanation:
The point-slope form of the line with slope m and passing through the point (x1,y1) is given by:
y-y1=m(x-x1)
Here, we are given line with slope m=2/5
and passing through (x1,y1)=(-4,-7)
i.e. x1= -4 and y1= -7
[tex]y-(-7)=\dfrac{2}{5}(x-(-4))[/tex]
[tex]y+7=\dfrac{2}{5}(x+4)[/tex]
Hence, Correct option is:
y+7=2/5(x+4)
Can someone please just explain what I need to do? I'm so confused
The length of a text messaging conversation is normally distributed with a mean of 10 minutes and a standard deviation of 4 minutes. What is the probability that a conversation lasts longer than 20 minutes?