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:
(x, y ) → (x - 4, y + 8 )
Step-by-step explanation:
4 units left in the x- direction means subtract 4 from the x- coordinate
8 units up in the y- direction means add 8 to the y- coordinate
Then the translation rule is
(x, y ) → (x - 4, y + 8 )
X + (x+1) = 2x+1
Here, 2x+1 is always odd
For example the value of x is 2 then we can say that,
x=2; x+1=3; 2x+1 = 5 <u>[odd number(5)]</u>
= 2 + 3 = 5
<em>Please note that the bolded words are only for your better understanding</em>
HOPE IT HELPS!
Answer: The sphere is 0.002548 cm travel up the plane.
Step-by-step explanation:
Since we have given that
Inclination angle = 30°
Translational speed = 0.25 m/s
As we know that
and
Length of solid sphere is given by
So, it becomes,
And 
So, it becomes,
Hence, the sphere is 0.002548 cm travel up the plane.
Well they are close to eachother and are both have a thousand. Such as the 1st 4 is 10 thousand but the 2nd 4 us in the thousands.
