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°.
Gary gets 4 marbles, because 12/3 is 4. So for the ratio 3:1 to apply, Jo gets 12 marbles and Gary gets 4.
The probability of a car crash is 56.75
Approx probability of car crash = 227/400 = 0.5675 i.e. 56.75%
This probability is high enough to be of concern to those in the 16-18 age bracket because the probability is not unlikely.
Probability is the department of mathematics concerning numerical descriptions of the way in all likelihood an occasion is to occur, or how probable it's miles that a proposition is actual. The probability of an occasion is more than a few between zero and 1, in which, kind of talking, 0 indicates impossibility of the occasion and 1 shows actuality.
The probability of an occasion can be calculated through chance system via simply dividing the favorable range of results by using the overall number of possible results.
Learn more about probability here: brainly.com/question/24756209
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Answer:
Under Armour store you can get a better deal.
Step-by-step explanation:
25/3=8.33
29/4=7.25
36/5=7.2
Answer:
It's the last one. We know it's to the right because the -8 is in the exponent and also, it's -8 not +8.
