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
suter [353]
3 years ago
12

What is AE ? Enter your answer in the box. ____units

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

Question says to find AE based on given information in the picture.

We see that AB and CD are parallel lines

AD acts as transversal on AB and CD

then

∠CDE= ∠BAE {alternate interior angles}

similarly

∠DCE= ∠ABE {alternate interior angles}


∠CED= ∠BEA {opposite angles}


so by AAA property of triangles.

Triangle CDE and triangle BAE are similar.

By properties of similar triangles, we know that ratio of corresponding sides is always equal so we can write:

\frac{DE}{AE}=\frac{CD}{BA}

=\frac{x+6}{2x+6}=\frac{8}{10}

10(x+6)=8(2x+6)

10x+60=16x+48

10x-16x=48-60

-6x=-12

x=2

We have to find AE which is 2x+6

AE= 2x+6 = 2*2+6= 4+6 = 10

Hence final answer is AE = 10.


myrzilka [38]3 years ago
3 0
56 units is the answer
You might be interested in
In the past year Jenny watched 44 movies that she thought were very good. She watched 55 movies over the whole year. Of the movi
igomit [66]

To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.

44/55 = 44/11 / 55/11 = 4/5

Next, we can now easily divide our simplified fraction.

4/5 = 0.8

Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.

0.8 * 100 = 80%

Therefore, Jenny thinks that 80% of the movies she watched this year were very good.

Hope this helps!

7 0
2 years ago
Calculate the area of this composite shape. Hint: The figure is made up of a rectangle and a semi-circle. Use 3.14 for the value
White raven [17]

Answer:ok

Step-by-step explanation:ok

3 0
2 years ago
23.160 divided by 10 ​
Serjik [45]

Answer:

the answer is  2.316

5 0
2 years ago
Read 2 more answers
Please answer this I am to lazy to think right now
notka56 [123]

QUESTION:- WHICH FRACTION IS THE RECIPROCAL OF \frac{4}{3}

RECIPROCAL =  \frac{3}{4}

8 0
2 years ago
4. On the way to the movies, you get pulled over for speeding. The ticket costs $120 plus $20 for every mph above the speed limi
pickupchik [31]

Answer: 120+20x=280

Step-by-step explanation:

280-120=160

160/20=8

The correct answer is the last one, 120+20x=280

6 0
3 years ago
Other questions:
  • Find the range of each function for the domain {-4, -2, 0, 1.5, 4}. f(x) = -2x - 3
    13·1 answer
  • Logarithms and exponentials are?
    15·1 answer
  • the sum of three numbers is 44. the first number is 1 subtracted from 4 times the second number. the third is 9 more than the se
    10·1 answer
  • Please help it’s really important because if I get it wrong I have to restart.
    13·1 answer
  • at 10.5mph how long would it take to go 6776 miles and why? My lecture did't really touch over on this subject.
    14·1 answer
  • -9p -17 =10 please solve the problem
    15·2 answers
  • Solve for x x-11.39=74.36
    9·2 answers
  • Which of these illustrate the divisibility of money?
    13·1 answer
  • Use the information to answer the question. Sabrina walked from her home to the library she stopped to pick up a book, and then
    9·1 answer
  • In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. ​If there are 20 shirts
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!