Answer:
2 : 1
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
AC : DF = 8 : 4 = 2 : 1
A. Judy made a mistake between Steps 1 and 2
To factor

, you have to factor it as

, not

, because that will leave an extra 6x because of 8x - 2x.
Answer:
1st even integer = 2
2nd even integer = 4
3rd even integer = 6
Step-by-step explanation:
Let the consecutive even integers be:
1st = 2(x)
2nd= 2(x +1) = 2x + 2
3rd = 2(x + 2) = 2x + 4
According to Given conditions:
7(2x) = 4 + 2x +2 + 2x + 4
By Simplifying:
14x = 10 + 4x
Subtracting 4x from both sides
14x - 4x = 10 + 4x -4x
10x = 10
Dividing both sides by 10 we get:
x = 1
Now putting value of x in supposed integers:
1st even integer = 2(1) = 2
2nd even integer = 2(1)+2 = 4
3rd even integer = 2(1) + 4 = 6
I hope it will help you!
The answer is <span>C. 9/25.
There are in total 25 marbles:
6 green + 9 red + 7 white + 3 black = 25 marbles.
There are 9 red marbles of the total 25 marbles. You can draw 9 red Thus, the probability of drawing a red marble out of the bag is 9 out of 25, which is 9/25.</span>
.944
2 1/9 = 2.111
7/6 = 1.167
2.111-1.167= .944