<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:
yes, this forms a right angle
Answer:
Answer is C
Step-by-step explanation:
Please mark brainliest if I helped!
Answer:
19.2 centimeters
Step-by-step explanation:
Tia cut a 4 meter and 8 centimeter wire, converting this measure to centimeters
and she cut it into 10 equal pieces, thus each piece measures:
.
Martha has a wire of 540 centimeter wich she cutted into 9 equal pieces, so each piece measures:
The difference between the two wires is:
