Answer:
See attached
Step-by-step explanation:
<em>Refer to attachment</em>
- a. Law of Syllogism
- b. No valid conclusion
- c. Law of Detachment
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Answer: A) 23.9
Step-by-step explanation:
volume of a shape means the area of its base multiplied by its height
so , the base here is a right angle triangle it's area equals 1/2*b*h = 1/2*3*6=9 m² and the prism height is 2.65.
therefore the volume is 2.65*9
Answers:
1. 74856 + 1489
= 76345
2. 42000/5
= 8400
3. 142100/10
= 14210
4. 2500 + (8-5)
2500 + 3
= 2503
5. 385 + (29 - 9)
385 + 20
= 405
6. 1780 - 643
= 1137
7. 4 x 2 + 30 / 5
4 x 2 + 6
8 + 6
= 14
8. 65743 - 754
= 64989
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°.
