Answer:
The answer is option A) <em>r</em><em> </em>and <em>s</em>
Hello
let : f(x) = 6 + √(14+x) - <span>√(9x)
f(2) = </span>6 + √(14+2) - √(9×2)
f(2) = 6 + √(16)-√(18)
f(2) = 6 + 4 - √(18) = 10 - √(18)
Answer:
angle 1 and angle 3 are congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.
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If you like, you can get there algebraically:
m∠1 + m∠2 = 180
m∠3 + m∠2 = 180
Subtract the second equation from the first:
(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)
m∠1 -m∠3 = 0 . . . . simplify
m∠1 = m∠3 . . . . . . add m∠3
When angle measures are the same, the angles are congruent.
∠1 ≅ ∠3
A butterfly can fly 82 feet in 4 seconds.
Distance traveled by butterfly = 82 feet.
Time taken by butterfly =4 seconds
Speed = distance /time
Speed of butterfly = 82/4 = 20.5 feet/second
A dragonfly can fly 50 feet in 2 seconds.
Distance traveled by dragonfly =50 feet.
Time taken by dragonfly =2 seconds.
Speed of dragonfly = 50/2 = 25 feet/second
So dragonfly can fly faster than the butterfly.
Difference in speed = speed of dragonfly - speed of butterfly = 25-20.5 = 4.5
So The dragonfly is 4.5 feet per second faster than butterfly.
Answer: B) The dragonfly is 4.5 feet per second faster.
