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
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For
gallons of fuel distance traveled
miles can be given as:
∝ 

where
is constant of proportionality.
The vehicle covers
miles on
gallons.
So

Dividing both sides by 5.


∴ 
When
gallons

miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
First divide by 8:_
38 / 8 = 4 remainder 6
so its 46
Answer:
B
The answer is B, which is -1.5.