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3 years ago

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

<span>We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
</span><span>JP + PK = JK.
</span><span>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.</span>

Reptile [31]3 years ago

3 0

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

</span><span>JP + PK = JK.

</span><span>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

</span>

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$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

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