3 years ago

Point M is on line segment LN . given LM = 5 and LN = 12, determine the lenght MN

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

<h3>Answer: MN = 7</h3>

Explanation:

LM + MN = LN by the segment addition postulate. This says we can break up a segment into smaller pieces, and have those pieces add back up to the original length.

Plug LM = 5 and LN = 12 into the equation and isolate MN to get

LM + MN = LN

5 + MN = 12

MN = 12-5

MN = 7

See the diagram below.

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3 years ago

The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to

AURORKA [14]

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ( $a^{2}$ + $b^{2}$ = $c^{2}$ [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles: