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.
Answer:
The largest possible value of n is 11.
(A) is correct option.
Step-by-step explanation:
Given that,
The number with at least two digits,the last number was removed. The resulting number was n smaller than the previous one.
We need to find the largest possible value of n
Using given data,
The smallest number of two digit is 10.
Now, we removed last digit then we get 1 which is equal to 10 divided 10.
So, n = 10
But the largest number of two digit is 99.
We removed last digit then we get 9 which is equal to 99 divided 11.
So, n = 11
Hence, The largest possible value of n is 11.
(A) is correct option.
The correct answer is A. x=22
Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)
Answer:
FG=BD
Step-by-step explanation:
hope this helps!!
It is false that city parks are part of the natural environment.
Since we are the ones who built them, they couldn't have been created by nature.
