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masha68 [24]
3 years ago
11

CAYB is a quadrilateral

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

CY = CB + BY

     = 6b + 5a - b

     = 5a + 5b

---------------------

CX = CA + AX

     = CA + \frac{1}{3} AB , find AB

AB = AC + CB

     = - 3a + 6b

     = 6b - 3a

Thus

CX = CA  + \frac{1}{3} AB

      = 3a + \frac{1}{3}(6b - 3a)

      = 3a + 2b - a

      = 2a + 2b

---------------------

and

\frac{2}{5} CY

= \frac{2}{5} (5a + 5b)

= 2a + 2b = CX

Hence CX = \frac{2}{5} CY ⇒ Proven

 

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