Answer is -6(see photo for step by step):
The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
<h3>What is the length of line segment?</h3>
Length of a line segment is the distance of both the ends of it.
Point m lies between points l and n on line segment l n .
- The space between l and m is 10x 8.
- The space between m and n is 5x -4.
The value of line segment LN is,

The sum of LM and LN is equal to the line segment LN. Thus,

Put this value of x in the equation of line segment LN,

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
Learn more about the line segment here;
brainly.com/question/2437195
<h3>
Answer: perpendicular slope is -2/3</h3>
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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
Answer:
Step-by-step explanation:
Given that the television show Degenerate Housewives has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to Degenerate Housewives.
Each household is independent of the other and there two outcomes.
X no of households that are tuned to Degenerate Housewives. is Bin (12, 0.18)
the probability that none of the households are tuned to Degenerate Housewives. P(none) =_______0.0924_____
the probability that at least one household is tuned to Degenerate Housewives. P(at least one) = ____1-0.0924 = 0.9076______
the probability that at most one household is tuned to Degenerate Housewives. P(at most one) = _____0.3359______
If at most one household is tuned to Degenerate Housewives, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Degenerate Housewives unusual?)
No 33% is not unusual.
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210