Suppose a plane intersects a cube through three intersecting edges. How can you ensure that the triangular cross section is an equilateral triangle?

A. The corner of the cube can be sliced off such that the plane intersects the base.

B. The corner of the cube can be sliced off such that the three vertices of the triangle are at the same distance from the corner of the cube.

C. The corner of the cube can be sliced off such that the plane is perpendicular to the base.

D. The corner of the cube can be sliced off such that the two vertices of the triangle are at the same distance from the corner of the cube.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.