The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
First, find the expected number of scooters rented per month:
As the data is symmetrical, E(X) (the expected value) is the middle value. So, on average, 2.5 scooters should be taken per month.
His total costs were 5 * 3000 = $15,000
So, to break even, he needs to make $15,000.
He will be selling for 5 years, or 60 months.
As a result, he needs to make 15000/60 = $250/month
As he is selling 2.5 scooters on average, he needs to rent each for:
$250/2.5 = <u>$100/month</u>
False because you in comepare and coaiser
<span>If the clock is held at a
constant 0.0ºc over a period of 24 hours, the clock will be exactly the same as
the perfect clock because it is at a
constant 0.0</span> <span>ºc for 24. Meaning there is
no deviation on its reading</span>
We know that y=MX+c
here m=1 and c=-1
