Respuesta :

Answer: A. 12

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Work Shown:

LK = 65

LR = 52

RK = LK - LR = 65 - 52 = 13

The triangles are similar, so the corresponding sides form equal ratios

LK corresponds to RK as they are both on the same side

LK/RK is one ratio and it is equal to MK/SK

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LK/RK = MK/SK

65/13 = 60/x

65x = 13*60 ... cross multiply

65x = 780

x = 780/65 ... divide both sides by 65

x = 12

SK = 12

FaDaReAdEoLa

Answer:

12

Step-by-step explanation:

RK = 65- 52= 13

similar triangle (∆RKS and ∆LKM)

[tex] \frac{13}{65} = \frac{x}{60} [/tex]

[tex]x = \frac{60 \times 13}{65} [/tex]

[tex]x = 12[/tex]

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