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NM=x+5, ML=6x+2, JK=8, JL=24. NL = ___ units?

NM=x+5, ML=6x+2, JK=8, JL=24. NL = ___ units?-example-1

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2 votes

Answer:

is approximately 10.092 units long.

Explanation:

NM + ML = JL

Substituting the given values:

x + 5 + 6x + 2 = 24

7x + 7 = 24

Subtracting 7 from both sides:

7x = 17

Dividing by 7:

x = 2.43 (rounded to two decimal places)

Now that we know x, we can find the length of segment NM:

NM = x + 5

NM = 2.43 + 5

NM = 7.43

Finally, we can find the length of segment NL by using the Pythagorean theorem:

NL^2 = NM^2 + ML^2

Substituting the given values and the value we found for NM:

NL^2 = (7.43)^2 + (6x + 2)^2

NL^2 = 55.2049 + (6(2.43) + 2)^2

NL^2 = 55.2049 + 46.6564

NL^2 = 101.8613

Taking the square root of both sides:

User MrDustpan
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