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
Makovka662 [10]
3 years ago
10

The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,

BC=10cm, CD=6cm, AD=15cm.
Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

You might be interested in
Please help if you can please
viktelen [127]

Answer:

30.3° is the answer mi amigo

Step-by-step explanation:

si señor

7 0
3 years ago
You and your friend are selling tickets to a charity event. You sell 7 adult tickets and 16 student tickets for $120. Your frien
Y_Kistochka [10]
4 student tickets
8 adult tickets
6 0
3 years ago
Find the vertex of the parabola.
Gnesinka [82]

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

    = x^2 -6x +9 +4

   = ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

4 0
3 years ago
Graph this function:<br> y= 5x - 18
lutik1710 [3]
The graph is shown below. 

5 0
3 years ago
QUESTIUN 5
IRINA_888 [86]
It has to be true because
3 0
3 years ago
Other questions:
  • Determine the perimeter of DEF. leave answer in radical form.
    6·1 answer
  • The percentage of households in the u.S. With cable television increased from 22.5%in 1980 to 68% in 2000. What was the increase
    10·1 answer
  • Anton's family drove 216 mi to the lake averaging 48 ​ mi/h ​ . On the return trip home they averaged 54 mi/h .
    6·1 answer
  • Which ratio can be used to form a proportion with the given ratio 8 to 12?
    15·2 answers
  • What is the solution to x2 = 225?
    12·2 answers
  • Simplify. <br> x0yz-3<br> 1. xy/x^3<br> 2. y/z^3<br> 3. x/yz^3<br> 4. 1/yz^3
    13·2 answers
  • Please help :) meeeeeeeeeeee
    13·2 answers
  • I need help with this question
    14·1 answer
  • Which would be used to solve this equation? Check all that apply.
    11·1 answer
  • A small business takes out a loan for $14,000 at 7% simple interest over the course of 4 years. What is the monthly payment?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!