Question

Help please

must show work
each pair of triangles is similar

problem 5 and 6​

Answer 1

5. (x, y) = (19.3, 46)

6. (x, y) = (6, 7)

Explanation:

In similar triangles, all corresponding measures have the same proportion. In figures like these, the corresponding measures are on the same line of the X. Here, we've written the ratios as (short measure)/(long measure).

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5. 30/60 = x/38.6 = 23/y

x = 38.6·30/60 = 19.3 . . . . . multiply by 38.6

y = 2·23 = 46 . . . . . multiply by 2y

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6. 4/6 = x/9 = y/10.5

x = 9·4/6 = 6 . . . . . . multiply by 9

y = 10.5·4/6 = 7 . . . .multiply by 10.5