Zd, ze, and zf are the perpendicular bisectors of △abc. use that information to find the length of each segment. note that the figure is not drawn to scale.

given: zd = 44, za = 85, fc = 79 find: zc and ac

the line segment zc has length
.

the line segment ac has length
.

  ZC = 85

  AC = 158

Step-by-step explanation:

Z is the circumcenter of the triangle, so AZ, CZ, and BZ are all radii of the circle, hence congruent. ZC = 85.

ZF bisects AC, so AC is twice the length of FC, hence 2×79 = 158. AC = 158.

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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step-by-step explanation:

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.