Hello!
For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.
This means that to find , we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.
This means that 9 should also be the side length of side AD, which we're given a value of .
Solve.
Hope this helps!
Answer:
To purchase 700 business cards, Jamie needs to pay $43.
Step-by-step explanation:
We are given that Jamie ordered 200 business cards and paid $23 in total.
We are also given that Jamie ordered 500 business cards and paid $35.
We can use the rate of change formula to find the average change.
This can also be represented with:
Therefore, we need to identify our variables.
In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.
We change the amount of business cards that are purchased, which in turn, changes the price.
The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.
Therefore, if we use the coordinate system:
Now, we can name our coordinates. We use this system:
This means that we can name our points:
Revisiting the rate of change formula, we can insert these values.
Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.
The slope-intercept equation is:
We already know m:
We also know x and y (we take them from of the coordinate pairs):
Now, we can substitute these values into the equation and solve for b.
Now, we can set up our linear equation.
Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.
Therefore, the price of 700 business cards is equal to $43.