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?

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

could you provide figure.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: