Given the coordinates, determine whether PQR & XYZ are congruent P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)

PQ=

XY=

QR=

YZ=

PR=

XZ=

Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

The triangles are congruent

Step-by-step explanation:

Given

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

For PQ:

and

So:

For XY:

So:

For QR:

and

So:

For YZ:

and

So:

For PR:

and

So:

For XZ:

and

So:

From the calculations above:

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.