Response:
b + d = 180°, a = d, and a = c
Detailed explanation:
In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.
87.648Step-by-step explanation:Multiplying decimals can be challenging. However, by breaking the decimal multiplication into two distinct equations, it becomes simpler. Calculating 73.04 x 1.2 can be expressed as (73.04 x 1) + (73.04 x 0.2). You already know that 73.04 x 1 equals 73.04. Next, compute 73.04 x 0.2, equivalent to 73.04 divided by 5, resulting in 14.608. Finally, add the two results (73.04 + 14.608) to arrive at the final answer of 87.648.
To achieve a positive profit p(x)>0, we start with:
Next, we solve for x:
The parameters are:
a = -2
b = 7
c = -3
We will apply the quadratic formula:
This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3
The predicted outcome is 83 minutes. I hope this is useful to you.
