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
Contact [7]
3 years ago
8

Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD    and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

\therefore m\angle A = m\angle B ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

m\angle F=m\angle E=90\° ⇒2

Now In △ABE and △CBF

∠A = ∠C   (from 1)

∠E = ∠F    (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

You might be interested in
The admission at the movies is $5 for children and $10 for adults. The total amount collected was
sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

                                    x = 400

Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

4 0
3 years ago
90 degrees + 5x + x needs to equal 180 degrees cant figure out the variables though
shepuryov [24]
X=15
90 + 5(15) + 15 = 180
90 + 75 + 15 = 180 
180 = 180

To get 15, I added up the the x's (which was 6 total), and divided 90 by them.

90/6 = 15

Then you just fill them into the equation.

Have a superb day!
4 0
3 years ago
If sin(0) = –4/5, and 0 is in Quadrant III, then what is sin(0/2)?
Mama L [17]

Answer:

dual square root 0 sin is what that tree I fire ant in a 0 on five quarts equal 0 seeing if send it

7 0
3 years ago
What is the standard<br> form of five<br> thousand two<br> hundred twelve?
goldenfox [79]

Answer:

5,212

Step-by-step explanation:

Hope this helps you!

6 0
3 years ago
Read 2 more answers
It says find value of x?
kupik [55]
It’s 4
the vertical angle is also 90
3 0
3 years ago
Other questions:
  • maya plants 8 flower bulbs in the fall 2 purple 2 red and 4 pink find the probability that the first flower to bloom is pink
    15·1 answer
  • Jolie uses 2 tomatoes everyday to prepare her salad if n equal of tomatoes Jolie had before she made her salad and c equals the
    8·2 answers
  • The measurement of a central angle is 0=240. Find the measurement of 0 in radians.
    6·1 answer
  • PLEASE HELP WITH THIS QQUESTION! 35 POINTS!!!!!!!!!!!
    14·2 answers
  • 50 POINTS FOR THE RIGHT ANSWER
    10·2 answers
  • Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).
    13·1 answer
  • I tent was marked up 180% from an original cost of $54.20. Last Friday, Mimi bought the tent and paid an additional 12.5% in sal
    14·1 answer
  • HELP PLEASEEEE!!
    10·1 answer
  • Find f(4) in the equation f(x) = 7x-9*
    14·2 answers
  • I NEED THE ANSER TO NUMBER 9 And 11
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!