<h3>
Answer: 2 < x < 7</h3>
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Explanation:
We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.
Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)
In symbols we say
5x - 10 < 25
We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.
Put the two inequalities together and we get 0 < 5x - 10 < 25
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Solve for x
0 < 5x - 10 < 25
0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 ... dividing all sides by 5
2 < x < 7
We have x between 2 and 7, and not equal to either endpoint.
If you would like to know how many 0.75 pound packages can be made with 6 pounds of sunflower seeds, you can calculate this using the following steps:
6 pounds of seeds / 0.75 pound packages = 8 packages
Result: You can make 8 0.75 pound packages.
Answer:
-01/0/0.8/1.2/1.6
Step-by-step explanation:
The probability of getting a <em>country CD</em> out of all the CDs is the number of <em>country CDs</em> divided by the <em>total number of CDs</em> in Dante's Collection.
The <em>total number of CDs</em> in Dante's collection is 
.
The total number of <em>country CDs</em> is 12.
So our required probability is 
.
In percentage this is 3 divided by 10, and then multiply by 100. We get 30%. Answer choice D is correct.
ANSWER: D
Answer:
KJP is the answer, if I'm correct
