Find the value of x in the triangle shown below

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

x = +/- 3

we take only the positive value because a length can‘t be negative

x = 3

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

here is the

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