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]
4 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]4 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
Find the output, k, when the input, t, is 3.<br> k = 13t – 2<br> k=
barxatty [35]

Answer:

k= 13*3-2

k= 39-2

k=37 is the required answer

7 0
3 years ago
Read 2 more answers
Pls help I will mark
tatiyna

Answer:

C

Step-by-step explanation:

3 0
3 years ago
A venue can sell 750 750 tickets per concert. For an upcoming concert, they have been selling 25 25 tickets a day. Write a linea
Jet001 [13]

Answer:

y=25x+750

Step-by-step explanation:

You have 750 fifty per day which will be your b (y=mx+b)  and you will make 25 tickets per person which will be your m.

5 0
3 years ago
Read 2 more answers
Monica paid sales tax of $4.50 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge fo
Paladinen [302]

We will see that the price of the bike helmet without the tax is $50

<h3>How to find the original price?</h3>

Let's define P as the original price, this is the 100%.

We know that a tax rate of the 9% is equal to $4.50, then we can write two equations:

100% = P

9% = $4.50

We can take the quotient between these two equations and solve that for P, we will get:

(100%/9%)*$4.50 = P = $50

So the price of the helmet, without tax, is $50.

If you want to learn more about taxes, you can read:

brainly.com/question/14345924

4 0
3 years ago
8h-6g+12h+8g<br> Simplify
Yuri [45]

Answer:

20h + 2g

Step-by-step explanation:

8+12=20

-6+8=2

8 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose the pie chart shown represents the monthly budget for a person who maked $2,000 a month. This person decides to rent an
    12·1 answer
  • A chemist mixes 175 millilters of solution that is 62% acid with 75 milliliters of pure acid. What percentage of the resulting M
    15·1 answer
  • Is 3 sin(alpha)+4 cos(beta)=8 possible
    14·2 answers
  • Find the vertex form of the function then find the following a) intercepts b) vertex c) maximum or minimum d) range
    10·1 answer
  • Find all the zeros of the equation. -3x^4+27x^2+1200=0 PLEASE HELP and show work
    15·1 answer
  • The perimeter of a stop sign is 96
    13·2 answers
  • Lilla wants to replace both question marks with the same number so that the inequalities correctly compare the numbers.
    7·2 answers
  • The product of 3 and a number increased by 6 is -24
    15·1 answer
  • HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
    9·1 answer
  • What is the mean for the data shown in the dot plot? 4 5 6 10
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!