See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer:
14
Step-by-step explanation:
3 times 14 equals 42, and 42 divided by 2 is 21. 21 divided by 3 is 7. :)
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Equation of the line that includes points (1, 1) and (1, 5) is a vertical line given by x = 1.
Answer:
The volume of cube-shaped block is 0.125 cubic feet.
Step-by-step explanation:
We are given the following in the question:
Edge length of storage container =

Edge length of block =

Putting value we get,
Edge length of block =

Volume of cube-shaped block = Volume of cube

Thus, the volume of cube-shaped block is 0.125 cubic feet.