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: