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:
62.8ft
Step-by-step explanation:
we are to determine the circumference of the garden
circumference = πD
= 3.14 x 20 = 62.8 ft
Answer:
I think the answer is 12,0000
Answer:
9
Step-by-step explanation:
the decimal always goes between the numbers that arent 0s
Answer:
Step-by-step explanation:
sec x( cotx + cos x )= csc x+ 1
1/cos x( cosx/ sinx +cosx) = csc x+ 1
1/cosx ( cosx + sinxcosx/sinx) = csc x+ 1
1/cosx( cosx) ( 1+sinx/sinx) = csc x+ 1
1(1/sinx+1) = csc x+ 1
cscx +1= = csc x+ 1