<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.
Answer
Sal spent 43 minutes jogging per day last week.
Elena spent 45 minutes jogging per day last week.
Step-by-step
Part 1: Find the number of minutes Sal jogged.
1. Find the number of minutes out of the week that were spent jogging.
240 - 25 = 215
Sal spent 215 minutes jogging.
2. Find the number of minutes per day he spent jogging.
215 / 5 = 43
Sal spent 43 minutes jogging per day last week.
Part 2: Find the number of minutes Elena jogged.
1. Find the number of minutes out of the week that were spent jogging.
300 - 15(5) = 300 - 75 = 225
Elena spent 225 minutes jogging.
2. Find the number of minutes per day she spent jogging.
225 / 5 = 45
Elena spent 45 minutes jogging per day last week.
Can I get brainleist of correct
D(-1,-1), E(-8,-4), F(-8,-8)
