How many combinations of a president, vice-president, secretary, and treasurer can be chosen from a group of 12 students?
2 answers:
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Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units
By cross multiply we get;
Simplify:
Divide both sides by 3 we get;
Simplify:
x = 25 units
Therefore, the value of x is 25 units.
