Two figures are congruent if and only if there exists one or more rigid motions which will map one figure onto the other.
1. Triangles ABC and MNP are not congruent.
2. Triangles ABC and EFG are not congruent
3. Triangles ABC and STU are congruent.
4. Triangles EFG and MNP are congruent.
5. Triangles EFG and STU are not congruent.
6. Triangles STU and MNP are not congruent.
The answer would be 17.8 hope this help you
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
Answer:
12 is mean 11 is median range is 14
Step-by-step explanation:
For the Mean
Add all the numbers up
16 + 9 + 20 + 10 =55
12 + 6 + 8 + 15 = 41
55 + 41 = 96
There are 8 numbers so we divide by 8
96/8 = 12
Range is Smallest number minus biggest so 20 - 6 = 14
Answer:
<u>The only x-intercept is x = 1</u>
Step-by-step explanation:
The equation is:

We can substitute y for r(x), to write in the notation:

To get y-intercept, we put x = 0
and
To get x-intercept, we put y =0
We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

<u>The only x-intercept is x = 1</u>