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​If \left| OA\right| =5∣OA∣=5 and \left| OA'\right| =7.5∣OA ′ ∣=7.5, what is the scale factor, rr, of this dilation?

Sagot :

MrRoyal

Answer:

The scale factor is 1.5

Step-by-step explanation:

Given

[tex]\left| OA\right| =5[/tex]

[tex]\left| OA'\right| =7.5[/tex]

Required

Determine the scale factor

The scale factor (k) is calculated using:

[tex]k = \frac{\left| OA'\right|}{\left| OA\right|}[/tex]

Substitute values for OA and OA'

[tex]k = \frac{7.5}{5}[/tex]

[tex]k = 1.5[/tex]

The scale factor is 1.5

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