Answer:
Given: ABCD is a parallelogram,
In which E ∈ BC and F lies on the extension of DC,
Such that line segment EF goes through the vertex A.
To prove: ![\triangle ABE\sim \triangle FCE](https://tex.z-dn.net/?f=%5Ctriangle%20ABE%5Csim%20%5Ctriangle%20FCE)
Proof:
Since, By the definition of parallelogram,
![DC\parallel AB \implies DF\parallel AB](https://tex.z-dn.net/?f=DC%5Cparallel%20AB%20%5Cimplies%20DF%5Cparallel%20AB)
By the Alternative interior angle theorem,
![\angle CFE\cong \angle EAB](https://tex.z-dn.net/?f=%5Cangle%20CFE%5Ccong%20%5Cangle%20EAB)
Also,
( vertically opposite angles )
Thus, By AA similarity postulate,
![\triangle ABE\sim \triangle FCE](https://tex.z-dn.net/?f=%5Ctriangle%20ABE%5Csim%20%5Ctriangle%20FCE)
Hence proved.
Answer:
D
Step-by-step explanation:
πr^2
3.14*3^2
3.14*9
28.26
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Answer:
Step-by-step explanation:
5 men do 1 unit of work in 1 hr. 1 man does 1/5 unit of work in 1 hr. 2 men do 2/5 units of work in 1 hr. Therefore 2 men will take 5/2 hours to dig 1 hole and take 5/4 hrs to dig half a hole.
-1
1/4×-2= -2/4 -2/4×2/1= -1