nlittrell1 nlittrell1
  • 16-06-2020
  • Mathematics
contestada

∆AXY ∼ ∆ABC. What is the value of x? Any help? Select one: a. 10 1/5 b. 28 1/3 c. 11 1/3 d. 19

AXY ABC What is the value of x Any help Select one a 10 15 b 28 13 c 11 13 d 19 class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 16-06-2020

Answer:

  • b. 28 1/3

Step-by-step explanation:

Given

Similar triangles ∆AXY and ∆ABC.

We know corresponding sides of similar triangles have equal ratio.

This can be applied here as:

  • BC/XY = AC/AY

Substitute the values and solve for x:

  • x/17 = (15 + 10)/15
  • x/17 = 25/15
  • x = 17*5/3
  • x = 85/3
  • x = 28 1/3

The matching answer choice is B

Answer Link
marlinhadryelle1919
marlinhadryelle1919 marlinhadryelle1919
  • 16-06-2020

Answer:

b

Step-by-step explanation:

[tex]\frac{x}{17} = \frac{20}{12} \\\\\frac{x}{17} = \frac{5}{3} \\x = \frac{85}{3} \\x = 28 . \frac{1}{3}[/tex]

Answer Link

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