First, find the scale factor.
8.4 / 7 = 1.2
9 / 7.5 = 1.2
7.2 / 6 = 1.2
Since both solids are different sizes, the solids aren't congruent.
The size ratio for all the sides are:
8.4:7
9:7.5
7.2:6
Since the scale factor isn't 1:1 this also proves that the solids are NOT congruent.
Since both solids are the same kind of shape and have an identical scale factor, the solids are similar.
Best of Luck!
Answer:
x=1
Step-by-step explanation:
6/12 = x/2
Simplify the left side by dividing the top and bottom by 6
1/2 = x/2
Using cross products
2x =2
Divide by 2
2x/2 =2/2
x=1
Answer:The set fee would be $15
Explanation:The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).
To get the set fee, we would first need to get the equation of the line.
Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:we are given two points which are:
(20,25) and (50,40)
the slope =
The equation now is:
y = 0.5x + c
2- getting the value of the y-intercept:To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15
The equation of the line representing the scenario is:y = 0.5x + 15
Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.
Hope this helps :)