Answer:
x = 0 and x = 1
Step-by-step explanation:
From the table of values
f(x) = g(x) = 1 when x = 0 , and
f(x) = g(x) = 0.25 when x = 1
The solution to f(x) = g(x) are x = 0 and x = 1
The length of a segment is the distance between its endpoints.

- AB and CD are not congruent
- AB does not bisect CD
- CD does not bisect AB
<u>(a) Length of AB</u>
We have:


The length of AB is calculated using the following distance formula

So, we have:


Simplify

<u>(b) Are AB and CD congruent</u>
First, we calculate the length of CD using:

Where:


So, we have:



By comparison

Hence, AB and CD are not congruent
<u>(c) AB bisects CD or not?</u>
If AB bisects CD, then:

The above equation is not true, because:

Hence, AB does not bisect CD
<u>(d) CD bisects AB or not?</u>
If CD bisects AB, then:

The above equation is not true, because:

Hence, CD does not bisect AB
Read more about lengths and bisections at:
brainly.com/question/20837270
Answer:
Step-by-step explanation:
For any prism or cylinder for that matter, you can find the volume by multiplying the area of the base times the height. So this problem just becomes simple algebra.
B * h = V
25 * h = 80
h = 80/25
h = 3.2
If you don't get why it's the area of the base let me know and I can try to explain it.
The odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A coin toss is used to determine which team will receive the ball at the beginning of a football game.
The Cougars always choose tails in the toss.
There will total of 8 cases and in 8 cases there will be three cases in which exactly two heads will come so,
3:8
The cases = {TTT, TTH, THT, HTT, HHT, HTH, HHT, HHH}
Thus, the odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.
Learn more about the probability here:
brainly.com/question/11234923
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