Answer:
Step-by-step explanation:
A complete circle has 360 degrees
So
300 + 32 + b = 360 Combine the left
332 + b = 360 Subtract 332 from both sides
b = 360 - 332
b = 28
Three hundred million, ninety nine thousand, nine hundred ninety <span />
Answer:
h=3/2
Step-by-step explanation:
3/4(4h-6)=0
3h-18/4=0
3h=18/4
h=3/2
Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise it is important to remember that, by definition, two triangles are congruent when all their corresponding sides and their corresponding angles are congruent.
Therefore, the size and shape of two congruent triangles are equal.
In this case you know that the triangles shown in the given picture are congruent.
So, based on the explained before, you know that the measure of every corresponding angle of both triangles is the same.
Then, you can conclude that unknown angle "x" has the same measure that the corresponding angle of the other triangle:
.
Therefore, you get that the value of "x" is:

This matches with the third option.
Answer:
106 items
Step-by-step explanation:
We are actually finding the "break even" point, where revenue = costs.
Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:
7.5x - 100 = 79.86 + 5.8x
Group the x terms together:
1.7x - 100 = 79.86
and then group the constants together on the right side:
1.7x = 179.86
Solving for x, we get 105.8 (items)
Round this up: 106 items
The company will begin making a profit as production passes 106 items.