Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
9=m-4
9+4=m
13=m
9=13-4
9=9
I hope this answer helped you!!! Thank you!!!
Answer:
Yes
Step-by-step explanation:
Answer:
There is a 1/8 chance.
If there are 4 cards in the deck, and one three card, it makes it a 1/4 chance of picking the card the first time.
The probability stays the second time you pull out a card.
So, you would do the equation 1/4 * 1/4, which is 1/8. That is the answer.
Answer:
After taking the first exam, 15 of the students dropped the class. The value 15 describes a characteristic of a population - first choice.
