Answer: Um, the value of x and y is x=–7, y=–1, I’m not sure my answer is going to be wrong or right, please tell me the correct answer.
Step-by-step explanation:
Answer:
4 + (3s/10) gallons
Step-by-step explanation:
Originally, there are 4 gallons. Add that to the expression. Every second, 3/10 gallon are filled. So s times 3/10 equal the total number of gallons added. Add both expressions together to get the answer.
Assuming that the cube has equal dimensions, it would be:
8 x 8 x 8 = 512 ft^3
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°.
