1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yKpoI14uk [10]
3 years ago
9

Square $BCFE$ is inscribed in right triangle $AGD$, as shown below. If $AB = 28$ units and $CD = 58$ units, what is the area of

square $BCFE$?

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer:

1624 units²

Step-by-step explanation:

See attachment for the figure

As, ∠EAB  = ∠CFD

and ∠ABE  = ∠FCD

We can say that by AA congruency,  ΔCFD  is similar to ΔBAE

Therefore, BA / EB = CF / DC      

BA x DC   =  EB x CF    (since EB = CF )

 

BA x DC =  EB²

28 x 58  = EB²   =>  area of square BCFE

area of square BCFE = 1624 units²

Therefore, the area of square BCFE is 1624 units²

You might be interested in
2
goldfiish [28.3K]

Answer:

The volume of can A is half the volume of can B.

Step-by-step explanation:

Given

Can A and Can B

Required

The true statement

For Can A, we have:

h =8

r = 0.5

The volume is:

Volume = \pi r^2h

This gives:

V_A = \pi * 0.5^2 * 8

V_A = \pi * 2

V_A = 2\pi

For Can B, we have:

h =4

r = 1

The volume is:

Volume = \pi r^2h

This gives:

V_B = \pi * 1^2 * 4

V_B = \pi  * 4

V_B = 4\pi

So, we have:

V_A = 2\pi

V_B = 4\pi

By comparison, (d) is correct

4 0
3 years ago
Is x=-2 a solution for the equation below?
Misha Larkins [42]

Answer:

no

Step-by-step explanation:

-7+x^2-3x      =       9+x-10

-7+(-2)^2-3*(-2)                   9+(-2)-10

-7+4+6                                9-12

3                   >                      -3

if we substitute -2 to x, answer is not equal

3 0
3 years ago
Read 2 more answers
In one day, the stock price for Warbucks Coffee rose from $50 to $57 per share. By what percent did this stock price rise?
egoroff_w [7]

Answer:

14%

Step-by-step explanation:

1. The formula to find percent change is \frac{(V_2-V_1)}{|V_1|} * 100. Now, all we have to do is plug in the values to their corresponding variable.

2. (Solving)

  • \frac{(57-50)}{|50|} * 100
  • \frac{7}{50} *100
  • 0.14 * 100
  • 14%
7 0
2 years ago
A field in the shape of a right triangle is bordered on one side by a stream, on another side by a road, and on a third side by
trasher [3.6K]

Answer:

42°

Step-by-step explanation:

For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.

                         / |

Stream(27)      /   |  Road( 20)

                     /__|

                   Fence

You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.

So 20/27 = .74 = Cos∅

To find the angle ∅ use inverse cosine to get 42°.

Hope that helps and let me know if I did anything incorrectly!

5 0
2 years ago
How to write 14 ten thousands, 12 thousands
Neko [114]
Here's the sum of your problem..... 14 x 10,000 = 140,000 + 12,000 = 152,000 Hopefully this answers your question! :D
5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the equation of the line containing points (-4,3) and (7,5)
    11·1 answer
  • Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.
    15·1 answer
  • PLEASE HELP!
    13·1 answer
  • . (02.05 MC) Side AB = 5, side BC = 6, side DE = 5, and side EF = 6. What additional information would you need to prove that ΔA
    12·1 answer
  • 3/7 as an improper fraction
    11·1 answer
  • Help me please I don't understand and ill mark you as brain
    9·1 answer
  • Pls help I will mark brainliest ​
    12·1 answer
  • A circular tabletop has an approximate circumference of 47.1 inches. What is its diameter?
    13·1 answer
  • Give the name (monomial,<br> binomial, trinomial etc.) and<br> degree of the polynomial.<br> 15x2
    8·1 answer
  • This is hard pls help.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!