There are .3 decimeters in 3 centimeters
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need
to be true in order for an acute triangle to happen.
So,

Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,

We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9
Step-by-step explanation:
Let x = number of games that Alex played
The total money that he spent C is given by
If he spent $45, then we can write

Solving for x, we get

This means that Alex played 15 games.
Answer:
See the below part
Step-by-step explanation:
1)
8 - 2x = 5 - 4x
=> 8 - 5 = -4x + 2x
=> 3 = -2x
=> 3/-2 = x
=> -3/2 = x
2)
4 + 3x = 2 - 2x
=> 4 - 2 = -2x - 3x
=> -2 = -5x
=> 2 = 5x
=> 2/5 = x
3)
2(x - 1) + 2(3x - 1) = 0
=> 2x - 2 + 6x - 2 = 0
=> 8x - 4 = 0
=> 8x = 4
=> x = 4/8
=> x = 1/2