EF bisects AD at C. if AC = 5x - 8 and CD = 16 - 3x. Find the value of x and AD

EF bisects AD at C. if AC = 5x - 8 and CD = 16 - 3x. Find the value of x and AD
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

C is the mid-point of AD

Therefore we have,

AC=CD

5x-8=16-3x

5x+3x=16+8

8x=24

x=24/8

x=3

AD=AC+CD       or AD=2AC or AD=2CD

AD=5x-8+16-3x

AD=2x+8

AD=2(3)+8

AD=6+8

AD=14 units
by Level 8 User (32.3k points)

Related questions

1 answer
If ab=7and AC =15and AD=32 what is bc,bd,cd
asked Aug 27, 2014 in Geometry Answers by anonymous | 815 views
1 answer
ad=20 and ac=3x+4 find the value of x. then find ac and dc
asked Aug 31, 2013 in Geometry Answers by anonymous | 3.1k views
1 answer
find x if Bc=47, AD=183, CD=3x+137, and AB=118+4x
asked Jun 27, 2017 in Geometry Answers by Natasha Butcher | 640 views
3 answers
AC = 5x-8 and CD =16-3x
asked Oct 15, 2014 in Geometry Answers by Lorenzo | 4.0k views
1 answer
find x when AC=3x-4 Ab=3 CD=3 and BD=2x
asked Nov 25, 2020 in Geometry Answers by anonymous | 826 views
1 answer
AB= 1 , CD= 6x-1 , AC= 2+2x , and BD = 9x-2 Find BD
asked Sep 13, 2018 in Geometry Answers by dania | 384 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,285 answers
2,420 comments
734,764 users