A. space
(I need 20 letters)
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 = -9/4
Step-by-step explanation:
−2(x + 1/4) + 1 = 5
Subtract 2 from both sides.
−2(x + 1/4) = 4
Divide both sides by -2.
x + 1/4 = -2
Subtract 1/4 from both sides.
x = -2 1/4
x = -9/4
Answer:
The answer is Store 4
Step-by-step explanation:
As before the price increases, Store 4 has the highest price among other Stores. After price increases, Store 4 continued to has highest price among them
Answer: [D]: y = -3x + 2 .
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