3 years ago

Find values of x, HJ, and JK.

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

x = 2, HJ = JK = 11

Step-by-step explanation:

Given that H is the midpoint of JK , then

HJ = JK = 6x - 1 and

HJ + JK = JK , that is

6x - 1 + 6x - 1 = 3x + 16 ← simplify left side

12x - 2 = 3x + 16 ( subtract 3x from both sides )

9x - 2 = 16 ( add 2 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11

You might be interested in

What are the intercepts of 6x + 8y = 24?

Elden [556K]

6x + 8y = 24

x intercept is the value when y =0 & y intercept is the value when x=0

for y=0 ==> 6x+0 =24 ==> x=4 for x=0==> 0+8y =24 ==> y=3

(4,0) & (0,3) (ANSWER d)

5 0

3 years ago

Ryan and karl spent 14 hours building a treehouse. ryan worked 1 less than twice karls hours. how many hours did each work?

Fittoniya [83]

Karl: k hours
Ryan: r hours

r+k=14 hrs
r = 2k-1 hrs

Then (2k-1) + k = 14 hours; 3k -1 = 14 hours; 3k = 15 hours; k = 5 hours.

Karl worked 5 hours; Ryan worked 2(5 hours) -1 hour = 9 hours.

3 0

3 years ago

What’s 2x+4 equal because I’ve been thinking what it was

irga5000 [103]

Hope this will help u....