Hello there,
So to find the area of anything, it's b x h and if the base of the tile is 12 you just divide 48 by 12.
48/12= 4
So the height of the tile is 4 inches
Hope this helped you!
13-k
Explanation: it’s just 13 minus the number k
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.

solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .
option C is correct i.e., ∠E ≅∠H.
explanation:
it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal
i.e.,

and if ∠E ≅ ∠H
Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
so option C is correct i.e., ∠E ≅ ∠H.
and option B is also correct
explanation:
since it is given that

And if ∠I ≅ ∠F
then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
Zeroes
set numerator to zero
x^2=0
x=0
zeroes are at (0,0)
HA
for p(x)/q(x)
when degree of p(x)<q(x), HA=0
when degree of p(x)=q(x), HA= leading
coef of p(x) divided by leading coef of q(x)
when degree of p(x)>q(x) you
probably have a slant assymtote
degrees are same (no slant assymtote)
leading coefs
1/1=1
HA is y=1
does it cross?
1=(x^2)/(x^2-4)
x^2-4=x^2
minus x^2 both sides
-4=0
false, it does not cross the HA
VA
simplify the fraction (it can't)
set the denomenator to zero
(x-2)(x+2)=0
VA's at x=2 and x=-2
so to graph
graph the point (0,0)
draw the lines
y=1
x=-2
x=2
reemmber, plus, minus, plus
so from left, it goes from above the HA
right up to the VA of x=-2
then goes upside down U shape in
between VA's going through (0,0)
then from top of VA x=2 down to y=1
then gets closer to y=1 but never touches