The table below shows the ticket rates for whale watching trips offered by orca magic tours: age ticket price under 3 years free 3 to 12 years $32 over 12 years $44 on a certain day, the company took 82 people on whale watching trips. there were 54 children aged 12 and under, of which some children were under 3 years. if x represents the number of children under three years, which equation can be used to find the value of x, where c represents the total amount of money collected from tickets that day? (54 + x)32 + (82 − (54 + x)) ⋅ 44 = c (54 − x)32 + (82 − 54) ⋅ 44 = c (82 + x)32 + (82 − (54 + x)) ⋅ 44 = c (82 − x)32 + (82 − 54) ⋅ 44 = c

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.