Since point L is merely found on the line MN, ML and LN are considered to be line segments. So adding both line segments should add up to line MN's total length which is 31 units. We can use the given relations to create a mathematical equation as follows:
Given: MN = 31; ML = h - 15; LN = 2h - 8
MN = ML + LN
Substituting the given values:
31 = h - 15 + 2h - 8
31 = 3h - 23
It is necessary to solve for the value of h. To do this, we must isolate h and solve for it:
Adding 23 to both sides of the equation:
31 + 23 = 3h - 23 + 23
54 = 3h
h = 18
Substituting the value of h to the equation of LN we get the following:
LN = 2(18) - 8
LN = 36 - 8
LN = 28
Therefore the value of LN is 28.
Answer:
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Step-by-step explanation:
It kinda makes sense.
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Answer:
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Answer:
Step-by-step explanation:
Please write points using parentheses: (4, 5) and (-4, 8}.
(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5). From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4). This sloping line is the hypotenuse of a right triangle. Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5). This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.
