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On a number line, the coordinates of X, Y, Z. and Ware-7. -5.2, and 4, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.

XY and ZW

The length of XY is (Type an integer or a decimal.)

The length of ZW is (Type an integer or a decimal)

Respuesta :

MrRoyal

Answer:

[tex]XY = 2[/tex]

[tex]ZW = 2[/tex]

XY and ZW are congruent

Step-by-step explanation:

Given

[tex]X = -7[/tex]

[tex]Y = -5[/tex]

[tex]Z = 2[/tex]

[tex]W = 4[/tex]

Distance XY is calculated as thus:

[tex]XY = |X - Y|[/tex]

[tex]XY = |-7 - (-5)|[/tex]

[tex]XY = |-7 + 5|[/tex]

[tex]XY = |-2|[/tex]

[tex]XY = 2[/tex]

Distance ZW is calculated as thus:

[tex]ZW = |Z - W|[/tex]

[tex]ZW = |2 - 4|[/tex]

[tex]ZW = |-2|[/tex]

[tex]ZW = 2[/tex]

[tex]XY = ZW = 2[/tex]

Hence:

XY and ZW are congruent

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