Triangle pqr is dilated by a scale factor of 1.5 to form triangle p′q′r′. this triangle is then dilated by a scale factor of 2 to form triangle p″q″r″. if vertex p is at (3, -4) and vertex q is at (5, -1), what are the coordinates of vertices p″ and q″? p″(4.5, -6) and q″(7.5, 1.5) p″(4.5, -6) and q″(7.5, -1.5) p″(-9, 12) and q″(15, -3) p″(9, -12) and q″(15, -3) p"(-9, -12) and q"(-15, -3)

P″(9, -12) and Q″(15, -3)

Step-by-step explanation:

When a figure with coordinate (x,y) dilated by scale factor k , then the coordinates of the image is given by :-

Given : The coordinates of vertex P is (3, -4) and Q is (5, -1) .

Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′.

Then, the co-ordinates of P' and Q' are given by:-

Triangle P′Q′R′ is then dilated by a scale factor of 2 to form triangle P″Q″R″.

Then, the co-ordinates of P" and Q" are given by:-

Hence, the coordinates of vertices P″ and Q″ are P″(9, -12) and Q″(15, -3).

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

two data sets with the same median will not have the same varaibility

step-by-step explanation: