#color(maroon)(x = 15 / 4, color(green)(y ~~ 9.8 " units"# Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio. #x / 5 = 9 / 12 = y / b# #color(maroon)(x = (5 * 9) / 12 = 15 / 4# From Pythagoras theorem, #y^2 = x^2 + 9 ^2 = (15/4)^2 + 9^2 = 95.0625# #color(maroon)(y = sqrt (96.0625) ~~ 9.8 " units"#

Given the similar right triangles in the figure. Find the exact values of x and y?

Answer 1

Caroline Aucoin

#color(maroon)(x = 15 / 4, color(green)(y ~~ 9.8 " units"#

Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio.

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Answer 2

Parker Allen

Without a figure or further information, I cannot determine the exact values of (x) and (y). Please provide the figure or additional context so I can assist you accurately.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.