Triangle abc has vertices at a(4, 2), b(1, 2), and c(4, 6) in the coordinate plane. the triangle will be rotated 270∘ counterclockwise around the point (-5, -7) and then rotated over = 0. what are the vertices of triangle a'b'c'?

a. a'(14, 2), b'(14, -1), c'(18, 2)

b. a'(0, 8), b'(0, 11), c'(-4, 8)

c. a'(-4, -16), b'(-4, -13), c'(-8, -16)

d. a'(4, 16), b'(4, 13), c'(8, 16)

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )