<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.
As this rectangle has it's sides parallel to x axis and y axis
it is easy to find the length of it's sides by counting the number of blocks on each sides.
Let us first find co ordinates of all four points
we would calculate them left and right and up down direction from the origian ( the cross point of x and y axis )
A : it is 2 unit left 2 unit up ( -2 , +2 )
B is 5 unit right 2 unit up ( +5 ,+2)
C is 5 unit right 2 unit down ( +5,-2)
D is 2 unit left 2 unit down ( -2,-2)
Let us now find the distance AB : A is 2 unit left B is 5 unit right so length AB= 2+5 = 7
Let us now find distance AD : A is 2 unit up and D is 2 unit down
so length AD= 2+2= 4
Answer should be 7 x 4 units
Answer:
10
Step-by-step explanation:
Answer:
For example, LCM(2,3) = 6 and LCM(6,10) = 30.
75,000 is the answer!
If this was the appropiate answer make sure to mark as the brainliest!
-procklown
