Step-by-step explanation:
4x + 12° = 64° ( vertically opposite angle )
4x = 64° - 12°
4x = 52°
x = 52° / 4
x = 13°
hence the value of x is 13°
Answer:
there are 5 terms so it takes 5 days for the trip, im not sure.
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.
Then According to the question , we have

Now, the second number from the above six consecutive even numbers is x+2.
Substitute the value of x in it, we get
The second number in this sequence = 
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:19/26
Step-by-step explanation:
Total number of students=26
Number of students that play basket ball=8
Number of students that play
baseball=11
Probability of playing both=6
Probability of playing either of the 2 games=8/26+11/26=19/26