The counting number ABAB is a multiple of 36. If different letters represent Reset different digits, what is the greatest value ABAB can have?

If ABAB is supposed to be a 4-digit number, then

ABAB = AB00 + AB = 100 × AB + AB = (100 + 1) × AB = 101 × AB

Since 101 is prime, AB must itself be a 2-digit multiple of 36, the largest of which is 2 × 36 = 72.

So, ABAB = 7272.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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