Answer:
29
Step-by-step explanation:
Let x represent the length of DE. Then ...
AB = x
AD = AB -BD = x - 9
__
AC = x
AE = AC -CE = x - 8
And the Pythagorean theorem applied to triangle ADE tells us ...
x^2 = (x -9)^2 +(x -8)^2
0 = x^2 -34x +145 = (x -5)(x -29)
Solutions are the values of x that make a factor zero: 5 or 29.
The length of DE must be greater than 9, so the appropriate solution from the above equation is x = 29.
The length of DE is 29.
The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
54<span> is what </span>percent<span> of </span>90<span> is equal to (</span>54<span> / </span>90<span>) x 100 = 60%. So if you buy an item at </span>$90<span> with </span>$54<span> discounts, you will pay $36 and </span>get<span> 60% discount ...</span>
