The Venn diagram shows the memberships for the Spanish Club and the Math Club. Use the diagram to answer the questions below.

A. 6 B. 2 C. 1

Step-by-step explanation:

For A, we can count how many people are on the left said and in the middle, since David is in both clubs. For B, we can only count the right side because it says "...are in the math club BUT NOT IN THE SPANISH CLUB." For C, We can only count the middle, which is only David.

A)6 B)2 C)1

Step-by-step explanation:

For A: There are 6 students because 5 are originally in the Spanish club, while 1 is in both clubs. This still means David is in the Spanish club so there are 6 students.

For B: There are 2 students because the condition is that, only students in the Math club are counted. In this scenario, David doesn't count because he is part of both clubs. So only Isabel and Carmen count, which means there are only 2 people.

For C: There is 1 student because the condition is that, only the students in both clubs count. The place where the two circles overlap will hold the student who is in both clubs. In that area, there is only David, making it so there is one 1 student.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4