Answer:
x = 6
One-fourth x + one-half = one-third x
Step-by-step explanation:
1/4 x + 1/2 = 1/3 x
1/4 x - 1/3 x = - 1/2
(3x - 4x)/12 = -1/2
-x/12 = -1/2
-x = -12/2
-x = -6
x = 6
Rectangle A’B’C’D’ has a scale factor of 2 because it is two times bigger then the original rectangle ABCD after the dilation.
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = 
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
Answer:
4+3 = 7
Step-by-step explanation:
<span>1. independent
2. dependent
toss a dime and then toss a quarter
* Ask yourself, "Does the 1st event have any effect on the results of the 2nd event?" And in this case, the answer is no. No matter what result happened for the dime flip, it won't affect the quarter flip. So these events are independent.
pick a card from a deck of cards keep the card and pick another one
* Ask yourself the same question. The 1st card is one of any of the 52 cards in the deck, while the 2nd card is from the remaining 51 cards. So the 1st event does affect the 2nd event. Therefore they're dependent.</span>