(((Please help asap! Giving brainliest))) The picture below shows a right-triangle-shaped charging stand for a gaming system:

[The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees and the measure of an]

Which expression shows the length, BC, of the base of the stand? (6 points)

Select one:

a. 7 divided by cot 55 degrees

b. 7 cos 55°

c. 7 divided by sin 55 degrees

d. 7 cot 55°

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Write an equation for the function that includes the points (2,100)and (3,100)

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.