60 boys and 80 girls were asked to choose their favourite topic in maths.
20 of the 60 students who chose Number were boys.
Algebra was the favourite topic for 30 students.
Half of the 20 students who chose Geometry were girls.
The same number of boys chose Statistics as Number.
a. Complete the two-way table with this information.
b. Which topic was the favourite of the students?
c. What fraction of the girls chose Statistics as their favourite?
d. What fraction of the boys chose Geometry as their favourite?
e. What fraction of the students who chose Statistics were boys?

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

c) yes, because of asa or aas

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.