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:
1st option
Step-by-step explanation:
Consider the coordinates of F and F'
F (- 3, 4 ) and F' (- 1, 3 )
To go from - 3 → - 1 in the x- directions , means adding 2
To go from 4 → 3 in the y- direction means subtracting 1
Then translation rule is
(x, y ) → (x + 2, y - 1 )
Answer:
1/4
Step-by-step explanation:
3/8 * 2/3 = 6/24 = 1/4
AAAAAAAA .... whole pizza
AAA ... Hunter had
AA ... tylor get
Answer:
Same thing here Arc DE is also 100 degreese
cause the lines are connected to the center point.
Step-by-step explanation:
A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars
