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:
The answer is 2.4 Miles per hour
Step-by-step explanation:
15.12 divided by 6.3= 2.4 MPH
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
To find the 3rd side of a triangle, use the pythagorean theorem.
a^2 + b^2 = c^2
a = 11
b = ?
c = 23
11^2 + b^2 = 23^2
121 + b^2 = 529
b^2 = 408
b = √408 = 2 √102 = 20.199, 20.2, or 20
The answer can be any of those.
Answer:
-23
Step-by-step explanation:
- 4 ( 8 ) + 9
- 32 + 9
- 23
