Ab and cd bisect each other at e. ce = x 2 â 3, ae = 6x â 10 and cd = 66. find ab.

ae = eb = 6x - 10   segment bisector theorem

ce = ed = x² - 3     segment bisector theorem

ce + ed = cd         segment addition postulate

x² - 3 + x² - 3 = 66   substitution

2x² - 6 = 66             simplify (added like terms)

2x² = 72                  addition property of equality

 x² = 36                  division property of equality

 x  = 6                   square root property of equality

ae + eb = ab         segment addition postulate

6x - 10 + 6x - 10 = ab   substitution

12x - 20 = ab                simplify (added like terms)

12(6) - 20 = ab             substitution

72 - 20 = ab                simplify

52 = ab                       simplify

ab = 52

alot

step-by-step explanation:

its a wood chuck that can chuck wood

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5