SETS. 27TH MAY 2021
In a class of 50 student,24 like football, 21 like basketball
and 18 like cricket. 6 like football and basketball only,5
like all three games and 14 did not like any of the three games.
a. Illustrate the information on a Venn diagram
b. How many students play basketball and cricket only?​

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

the one below it is a function