sabel1234
sabel1234 sabel1234
  • 23-01-2019
  • Mathematics
contestada

What is the value of x?

Enter your answer, as a decimal, in the box.

cm

What is the value of x Enter your answer as a decimal in the box cm class=

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 23-01-2019

Answer:

50.6 cm

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the smaller triangle side over the larger triangle side.

x               46.2-14   (This is the length of the short side of the triangle)

--------- = -------------

72.6            46.2

Using cross products

46.2 *x = (46.2-14)  *72.6

46.2 *x = (32.2)  *72.6

46.2 *x = (32.2)  *72.6

46.2x =2337.72

Divide each side by 46.2

46.2/46.2 *x = 2337.72/46.2

x = 50.6

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