Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side

Answer:
53.3 rotations
Step-by-step explanation:
135/180=x/40
solve by cross multiply
68.01
A quotient is the answer to two numbers being divided.
Meaning 68.0052÷12 is 68.01
Answer:x=2
Step-by-step explanation:
3(x-2)=6x-12
3x-6=6x-12
Collect like terms
6x-3x=12-6
3x=6
Divide both sides by 3
3x/3=6/3
x=2