Answer:
x can be any number
Step-by-step explanation:
because the two sides are equal x could be any number.
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
and its maximum is:
So:
We have that
<em>Hence, the maximum amount of profit is 32</em>
The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6
Volume = Area x Height. We are given Volume and Area, so plug in and solve for Height (Height = Volume/Area)
18in^3 = 4.5 in^2 x Height (divide both sides by 4.5) -> 4in = Height