50% - .5
7/15 - .46
the remote control car
The are of the purple figure is 18 square units.
Step-by-step explanation:
Just count the number of squares of the purple units. Flr the incomplete squares, find the corresponding incomplete square and count them as 1.
Answer:
$551
Step-by-step explanation:
The maximum profit is found where the derivative of the profit function is 0.
y' = -2x +62 = 0
x = 62/2 = 31
Then the maximum profit is ...
y = (-x +62)x -410
y = (-31 +62)(31) -410 = 961 -410 = 551
Assuming the profit is in dollars, the maximum profit the company can make is 551 dollars.
Question 1:
Since the triangles are congruent, we know that QS = TV
This means that
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8 AND TV = 8
Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.
Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides.
In order for us to prove congruence by SAS, AD must be congruent to BC.
Have an awesome day! :)