Answer:
D
Step-by-step explanation:
an inverse function is a function that reverses another function for ex. if f(x)=y and g(y)=x.
We can simplify this equation and find the value of k.
k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
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°.
Step-by-step explanation:
The volume of the cone is:
1/3 *π* r² *h =
1/3 *π *4* 2square root of 3=
(8*square root of 3*π)/3
