Find the value of the variable if P is between J & K. A) JP = 8z - 17 B) PK = 5z + 37 C) JK = 17z - 4

2 answers:

3 0

We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
JP + PK = JK.
Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.

Reptile [31]3 years ago

3 0

From the problem statement, we can say that the sum of segment JP and segment PK is equal to the line JK.

JP + PK = JK.

First, we substitute the equations to each term.
(8z - 17) + (5z + 37) = 17z - 4

Combining like terms.
13z + 20 = 17z - 4

Solving for z,
4z = 24
z = 6

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Step-by-step explanation:

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Need help how do I do this, start it, and the steps please

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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first write down the equation we are going to solve.

( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6

To begin with, we will expand the brackets => [ ]

( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6

Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.

( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12

Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).

( - 9 / 3 )h = - 18

- 3h = - 18

h = - 18 / - 3

h = 18 / 3

h = 6

FINAL ANSWER:

Therefore, the answer is:

h = 6

Hope this helps! :)
Have a lovely day! <3

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