Answer:
1.848 × 10^-2
Step-by-step explanation:
0.006 = 6 × 10^-3
3.08 = 3.08 × 10^0 (10^0 is equal to 1)
(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2
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°.
Answer:
y=8x
Step-by-step explanation:
an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x
The answer is 0.0190114068441065
There are 20 pieces in the bag all together. Four are chocolate.
The probability of picking a chocolate with his eyes closed is 4/20.
In simplest form, that's 1/5 or 20% .