At a local ice cream shop, customers pay a set price for a regular ice cream, plus an additional charge per topping ordered. A r
1 answer:
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Answer:
FE = 28 and YZ = 28
Step-by-step explanation:
In similar triangles the ratios of corresponding sides are equal.
(4)
=
, substitute values
=
( cross- multiply )
39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides
195x - 78 = 168x + 84 ( subtract 168x from both sides )
27x - 78 = 84 ( add 78 to both sides )
27x = 162 ( divide both sides by 27 )
x = 6
Thus
FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28
(5)
=
, substitute values
=
( cross- multiply )
35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides
105x - 245 = 80x + 80 ( subtract 80x from both sides )
25x - 245 = 80 ( add 245 to both sides )
25x = 325 ( divide both sides by 25 )
x = 13
Thus
YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28