A linear pair means that the sum of the angles is 180
degrees.
Therefore:
a + b = 180°
We know that:
a = b + 26°
Therefore:
b + 26 + b = 180
2b = 154
b = 77°
So,
a = b + 26 = 103<span>°</span>
Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
500/20 = 25kcal per piece
8 * 25 = 200kcal.....yes, he is able to have 8 pieces
Answer: A. It would be shifted up.
Step-by-step explanation: the only thing that is changing in the two equations is the last number. The last number is not there in the second equation because the y-intercept is 0. The y-intercept in the first equation is -2 and shifts up 2 to y-intercept if 0. Therefore, your answer would be A. It would shift up.