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Use the diagram and the following information to find the value of x.

Note: T is the midpoint of .

PT = 6x + 4 and TQ = 52

ANSWER CHOICES x = 9.3 x = 10 x = 8 x =9

Use the diagram and the following information to find the value of x Note T is the midpoint of PT 6x 4 and TQ 52 ANSWER CHOICES x 93 x 10 x 8 x 9 class=

Respuesta :

Given:

Given that PQ is a line segment.

T is the midpoint of PQ.

The length of PT is 6x + 4 and the length of TQ is 52.

We need to determine the value of x.

Value of x:

Since, we know that the midpoint of the line segment is a point that divides the segments into two congruent segments.

Thus, applying this property, we have;

PT = TQ

Substituting the values, we have;

[tex]6x+4=52[/tex]

Subtracting both sides of the equation by 4, we get;

[tex]6x=48[/tex]

Dividing by 6, we have;

[tex]x=8[/tex]

Thus, the value of x is 8.

Hence, Option c is the correct answer.

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