Mathematics: Point Pis the circumcenter of A XYZUse the lengths of PX and PY to find the length of PZ. Show (or explain) all of your work! PX - 3x + 2 PY - 4x - 8

answer: b.step-by-step explanation: 3 x 3 is 99 x 3 is 27...

Point Pis the circumcenter of A XYZUse the lengths

Ответ:

staffordkimberly

12.06.2021

Mathematics

The length of the line segment PZ is 32 units.

Step-by-step explanation:

If P is the circumcenter of $\triangle XYZ$ , then the measures of line segments PX, PY and PZ are the same of the radius of the circle, in which is inscribed in, meaning that measures of the three line segment are equal:

PX = PY = PZ (1)

If we know that $PX = 3\cdot x + 2$ and $PY = 4\cdot x - 8$ , then we solve (1) for :

$3\cdot x + 2 = 4\cdot x - 8$

x = 10

Then, the length of PZ is:

$PZ = 3\cdot x + 2$

$PZ = 3\cdot (10) + 2$

PZ = 32

The length of the line segment PZ is 32 units.

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Ответ:

itzdulce

13.02.2023

Mathematics

answer:

step-by-step explanation:

3 x 3 is 9

9 x 3 is 27

0,0(0 оценок)

Point Pis the circumcenter of A XYZUse the lengths of PX and PY to find the length of PZ. Show (or explain) all of your work!
PX - 3x + 2
PY - 4x - 8

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