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:
c cuh
Step-by-step explanation:
(idk the answer)
9x3x8/92=2.347 and that rounded =2.35.
<span> 0.8 that for the 44/55 idk what u want me to do with the 39
here how 2 turn them into decimals
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The fraction bar means "divided by." So finding the decimal equivalent of a fraction such as 1/4 means 1 divided by 4.
1 ÷ 4 = 0.25
It is not necessary to reduce a fraction before you convert it to a decimal but doing so might make the long division easier if you are doing it by hand.
For example, 9/12 = 9 ÷ 12 = 0.75. If you solve this with a calculator then it is easy to get the answer. However, if you use long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, may make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.
cited from -http://www.calculatorsoup.com/calculators/math/fraction-to-decimal-calculator.php
The number could be several different ones. Are you sure that's exactly what the problem says? If not, I'm going to ask you write the entire problem. If not, then whoever made it did not give enough information for there to be an absolute answer. I'm sorry I couldn't help you, but I really hope I can with more information.