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:
Puppy weight= 6 pounds
Step-by-step explanation:
Giving the following information:
Adult weight= 60 pounds
Puppy weight rate= 10%
<u>To calculate the weight in pounds of a puppy, we need to use the following formula:</u>
Puppy weight= adult weight*puppy weight rate
Puppy weight= 60*0.1
Puppy weight= 6 pounds
Yoink:
hey imma yoink your points and not answer the question ok?
Jk:
jk, number 1 is b
number 2 is a
number 3 is d
and number 4 is c
Answer:
3
Step-by-step explanation:
- <em>Each of the seven happy clowns has a red nose.</em>
This means there are (15-7) 8 sad clowns.
- <em>Five of the sad clowns have red noses. </em>
This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.
5=(-4)x-2. Hope this helps
