Help me with math questions urgent Thanks

 x = 2.65, y = 3.81

Step-by-step explanation:

          ABC similar to PQR

1) Find the ratio of corresponding sides

2) Use that ratio to find values for x & y

        1) Side AB = 2.76cm & Side PR = y cm

             Side BC = x cm & Side RQ = 3.66 cm

         Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)    

Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14

Length of sides ABC = 3/4.14 times the length of sides PQR

           2)  x = (3 / 4.14) * 3.66 = 2.65

            Now solve for y, ABC to PQR:  2.76 = (3 / 4.14) (y )

equality property (both sides) & inverse operation to isolate y : .               2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (y)

              2.76 * (4.14 / 3) =  3 / 4.14 * (4.14 / 3) (y)

                     (2.76 * 1.38 ) =  3.81  = y

Scale Factor Method:  Determine the Multiplier

Small to Big or Big to Small ➜ Be sure not to switch

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq