A ribbon that is 100 centimeters long is being cut into pieces that are 4.5 centimeters each. Which of the following is the grea
1 answer:
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Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore,
⇒
⇒
⇒
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
So your equation is 
. You need to simplify this answer.
So first off, do 2x times 2x.
2 x 2 = 4.
Your equation is now
You're already off to a great start, so now let's add 4x + 7x. It is 11x.
Your equation is almost done! It's
right now.
Divide both sides by 11, and your answer is...
0.36363636 and so on, or you can round to the nearest hundreth, in which it will be
0.36.
I hope I helped!
So first off, do 2x times 2x.
2 x 2 = 4.
Your equation is now
You're already off to a great start, so now let's add 4x + 7x. It is 11x.
Your equation is almost done! It's
Divide both sides by 11, and your answer is...
0.36363636 and so on, or you can round to the nearest hundreth, in which it will be
0.36.
I hope I helped!