Consider the polar curve defined by the function r(theta=theta cos(theta where 0 is less than or equal to theta and theta is less than or equal to 3pi/2

The polar curve will be:

r(θ) = cos(θ)

where 0 ≤ θ ≤ 3*π/2

This means that the radius of the polar curve depends on the angle in that way, for example, when θ = 0, r = 1

when θ = π/2, r = 0

and so on, so this curve will draw something like an infinity symbol, where the last segment is missing.

b.liability insurance

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11