Katy bought a candy bar and shared it with her two sisters. she gave her youngest sister 1/4 of the candy bar. her older sister received 1/3 of the candy bar. how much of the candy bar did katy keep?

Step-by-step explanation:

Since the candy bar is just one

Giving 1/4 of it to her younger sister make her left with 3/4 of the candy bar i.e 1 - 1/4 = 3/4

Then giving 1/3 of the left over to her elder sister it becomes 3/4 * 1/3 =1/4

Then the remaining candy bar will be 3/4 - 1/4 = 1/2

Then she will be left with 1/2 i.e half of the candy bar.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.