Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
Answer:8.56
Step-by-step explanation:
The correct answer is SAS.
It's given that BC is congruent to CD and AC is congruent to CE. And by Vertical Angles theorem, Angle BCA is congruent to DCE.
The answer is A. Y=square root of 2x
Let's use the equation 5x - 20 = 10 as an example for this.
To work backwards from this, you would add the same amount to each side.
You want to isolate the 5x so that you can solve for x.
To do that, you would add 20.
But again, you must add and subtract the same amount to both sides.
So it would look a bit like this:
5x - 20 + 20 = 10 + 20
That would simplify to 5x = 30, or in other words, x = 6.
Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.
In the example, 5 is the multiple and after isolating it, the answer was 30.
30 ÷ 5 = 6
x = 6
Hope this helps :)
