13 x 6 = 78 it cant be multiplied anymore so it can go into 80 about 6 times.
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:
D. The cost of the pizza with one topping costs $6.
Answer:
<u>P (E1) = 1/2 or 50%</u>
<u>P (E2) = 3/13 or 23%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of playing cards = 52
Number of suits = 4
Number of cards per suit = 13
Number of black suits = 2
Number of red suits = 2
2. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).
P (E1) = Number of red cards/Total of playing cards
P (E1) = 26/52 = 1/2 = 50%
P (E2) = Number of face cards/Total of playing cards
P (E2) = 12/52 = 3/13 = 23%