Answer:
(a) 3.96
Step-by-step explanation:
Corresponding sides of similar triangles have the same ratio.
ratio of bottom sides = ratio of right sides
x/6 = 3.3/5
Multiplying by 6 gives ...
x = 6(3.3/5) = 3.96 . . . . matches the first choice
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Additional comment
It is always a good idea to check your answer for reasonableness. Here, we notice the bottom side of ΔABC is longer than the right side. That means the value of x will be more than 3.3. (eliminates choices B and D)
The difference in lengths of the sides of triangle ABC is 6-5 = 1, which is 1/5 the length of the right side. That means the difference between x and 3.3 will be about 3.3/5 = 0.66. The length 5.12 is way too much for the value of x. The value of x will be 3.3 +0.66 = 3.96.
