The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. if the numerator is multiplied by 2, and the denominator is increased by 16, then the fraction becomes smaller by 1/3 of it. find the original fraction.

n = d - 52n/(d + 16) = n/d - 1/3 n/d2n/(d + 16) = 2/3 n/d Divide by 2n1 / (d + 16) = 1/3 dHere's the tricky part.d + 16 = 3d the two denominators are equal. the numerators are both 1.16 = 2dd = 8so the numerator is d - 5n = 8 - 5n = 3Let's see if it checks out.n = 3d = 82*3 = 68 + 16 = 24New fraction 6/24 = 1/4(3/8 - 1/3 ) = 1/83/8 - 1/8 = 1/4 so it checks with the original conditions put on it.

Step-by-step explanation:

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

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3