Answer:
angle CBE = angle EBD
Step-by-step explanation:
Angles CAB and BCA are equal because their opposite lengths are equal
angle CBE = angle BCA
(Alternate angles)
angle EBD = angle CAB
(corresponding angles)
Since angles CAB and BCA are equal,
angle CBE = angle EBD
Which means BE divides the angle DBC into two equal angles. Hence BE bisects the angle DBC
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
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LOL
If the track is 10km long, and X travels at 40 km/h, it will take 1 hour to do 4 laps. this means that car X will do one lap in 15 minutes. Y travels at 30 km/h, which means it will do 3 laps in 1 hour, meaning that car X will do 1 lap in 20 minutes.
X- 15, 30, 45, 60
Y-20, 40, 60
Therefore, after an hour, they will pass again.
