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]
4 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]4 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
Which system has no solutions?
Lapatulllka [165]
\left\{\begin{array}{ccc}y \ \textgreater \  6\\y \ \textless \  2\end{array}\right\\\\\text{Look at the picture}

3 0
3 years ago
If the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum​
Alborosie

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

6 0
3 years ago
1) y=mx+b (solve for b)<br>2) t=an+b (solve for n)
astra-53 [7]
The equation is already solved for the variable t To solve for any other variable simply rearrange theequation to have the indicated variable on one sideof the equals sign and everything else on the other. For example, to solve for a: t=an+b       subtract b from both sidest-b = an      divide both sides by n(t-b)/n = a Or:  a = (t-b)/n Work in the same manner to solve for either b or n: b = t-an n = (t-b)/a
7 0
3 years ago
3.) Find the domain and range for each of the following functions.
Delvig [45]
Domain is x’s and range is y’s.

For a, the domain is -2<=x<1
For a, the range is 1<=y<2

For b, the domain is 1<=x<=2
For b, the range is -2<=y<=2

(The <= is the ones with a line under, meaning equal to, if that makes sense. So write with a line under rather than equal sign)
Hope this helps!
6 0
3 years ago
The process by which most cells make new cells like themselves is called
Elanso [62]
There are two types of cell division: mitosis and meiosis. Most of the time when people refer to “cell division,” they mean mitosis, the process of making new body cells. Meiosis is the type of cell division that creates egg and sperm cells. Mitosis is a fundamental process for life.
5 0
3 years ago
Read 2 more answers
Other questions:
  • I’m making quilts, I have 811 handkerchiefs in all &amp; I need 25 for one quilt. How many quilts can I make &amp; how many hand
    10·2 answers
  • Inequality to compare -21 and -13
    10·1 answer
  • Which of the binomials below is a factor of this trinomial
    6·1 answer
  • If a divided by b equals b divided by a what numbers are a and b?
    10·2 answers
  • Convert 9 1/2 in to a fractional notation.
    12·2 answers
  • What is the solution to solving 6.7x=5.2x+12.3
    14·1 answer
  • What is the slope of the line described by the equation below?
    9·1 answer
  • What is the initial value of the exponential function represented by the table
    10·1 answer
  • What are the values of a and b?
    5·1 answer
  • The area if the top of a cube is 9 aquare meters . what is the volume of the cube?​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!