(y+3):(y+5)=k:1 show that y=5k-3/1-k

  y = (5k -3)/(1 -k)

Step-by-step explanation:

  (y +3)/(y +5) = k/1

  y +3 = k(y +5) . . . . . multiply by (y+5)

  y +3 = ky +5k . . . . . eliminate parentheses

  y -ky = 5k -3 . . . . . . subtract (ky+3)

  y(1 -k) = 5k -3 . . . . . factor out y

  y = (5k -3)/(1 -k) . . . . divide by the coefficient of y

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Additional comment

When this is written in plain text, as above, the parentheses are essential grouping symbols for the numerator and denominator. If the equation is typeset:

then no parentheses are required, because the fraction bar serves to identify the numerator and denominator expressions.

When written without parentheses,

  y = 5k -3/1 -k = 5k -(3/1) -k = 4k -3 . . . . not the same as above

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

answer: the first graph

step-by-step explanation: