Question

PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY

Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__

Answer 1

x= 17

HJ= 27

JK= 153

HK= 180

Explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) Draw a sketch of the segments described above

Find attached to this answer the diagram of the sketch of the segments described above

b) Write an equation using the segment addition postulate that will help you solve the problem

HJ + JK = KH

x + 10 + 9x = 14x - 58

c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58

10 + 58 = 14x - x -9x

68 = 14x - 10x

68 = 4x

x = 68/4

x = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

JK= 9x

= 9 × 17

= 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180