Q.1 In a group of 54 people, each likes music or dance. If the ratio of people who like music only and dance only is 5:4 and the number who like both is 18, find the number of people who like dance by using a venn diagram.

27 is what percent of 108? 27 is % of 108

Multiply. write your answer in simplest form. 3/8 x 5/7

In the following diagram it is given that dec, ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2