26 26 29 30 31 33 33 33 34 34 70
A.
Mean:30.9
Add all numbers up and divide by however many there are.
Median:32
Number in the middle spot
Mode:33
Number that occurs the most
B.
Mean:34.45
Median:33
Mode:33
Answer:
A
Step-by-step explanation:
We can see that the slope is positive, which means that the x-term must be positive.
If you expand and simply both equations into the form y = mx + b, you will find that m is positive for A and negative for B, hence A is the correct answer.
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,
So, his average speed is equal to 72 km/h.
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°.
I believe it is an inscribed angle but I am not positive
