<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 the number of minutes of long-distance calls you made, you can calculate this using the following steps:
3.3 cents = $0.033
m = $3.40 / 3.3 cents
m = $3.40 / $0.033 = 3.40 / 0.033
m = 103.03 minutes
The correct result would be <span>103.03 minutes.</span>
<h2>
Answer: 55 degrees</h2>
Step-by-step explanation:
Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles 
, 
and 
:
Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:
Finally:
The general form of such an equation is
x^2 + y^2 = r^2 where r = radius
In this case r^2 = 4^2 + 5^2 = 41
So the required equation is x^2 ^ y^2 = 41
B
Answer:
1. x = 13
2. x=17
3. y= 34
Step-by-step explanation:
