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
11111nata11111 [884]
4 years ago
11

Given that triangle DAE ~ triangle BAC, what is the length of side AE?​

Mathematics
1 answer:
Alexeev081 [22]4 years ago
7 0

Answer:

12

Step-by-step explanation:

For polygons that are similar to each other, the ratio of their corresponding sides are usually equal to each other, as they are proportional.

Therefore, given that ∆DAE is similar to ∆BAC, AD = 6, AB = 6+4 = 10, AE = x, AC = x + 8, therefore:

AD/AB = AE/AC

6/10 = x/(x+8)

Cross multiply

6*(x+8) = x*10

6x + 48 = 10x

Subtract 6x from both sides

48 = 10x - 6x

48 = 4x

Divide both sides by 4

48/4 = x

x = 12

Length of side AE = 12

You might be interested in
What is the value of (14)5?
valina [46]

Answer:

70

Step-by-step explanation:

7 0
3 years ago
If 7x+2a=3x+5a then x is equivalent to what
solniwko [45]

7x+2a=3x+5a

7x-3x = 5a -2a

4x = 3a

x = 3a/4

4 0
3 years ago
Read 2 more answers
What is the solution to 8(2x + 3) = 48?
Tom [10]
You have to start by using the distributive property. So you take the number next to the parentheses which is “8” and you multiply it with “2x”. This gives you “16x”. Then you multiply “8” with “3” and that gives you “24”. You now have the equation “16x + 24 = 48”.
The next step is to subtract “24” with “48”. This leaves you with “24”. Then you now have “16x = 24” as your new equation. The last step is to divide “16x” with “16”, this cancels it out with itself. Then you divide “24” with “16” and you get 1.5. So “X” equals 1.5 or you can convert it into a fraction witch gives you “3/4”.
6 0
3 years ago
Please help please.......​
faust18 [17]
1. 34.8 2. 127.2 the other ones
7 0
3 years ago
3) The table below shows the number of cups of ginger
JulijaS [17]
So column A needs to all be the same multiples of 4 so 4•3 is 12 and so other multiples need to be placed
3 0
3 years ago
Other questions:
  • Find the measure of angle 1
    12·2 answers
  • An observer is 120 feet from the base of a television tower, which is 150 feet tall. find the angle of elevation of the top of t
    10·1 answer
  • Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L' What is the value o
    13·1 answer
  • How many square feet of outdoor carpet will we need for this hole?​
    9·1 answer
  • Max is designing a hot tub for a local spa.
    13·1 answer
  • The Luxor hotel, in Las Vegas, is a square pyramid with lateral faces consisting of black, glassed mirrored panes. The building
    10·1 answer
  • Help please, I'll give brainliest to the first correct answer​
    5·1 answer
  • Which on is bigger 7/8 or 5/6
    12·1 answer
  • Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh
    15·2 answers
  • Sherry has 1/4 as many crayons as marie . marie has 32 crayons how many crayons does sherry have
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!