Lindsay is 5 55 years younger than Mark. Seven years ago, the sum of their ages was 31 3131. Let l ll be Lindsay's age and let m mm be Mark's age. Which system of equations represents this situation?

The system of equations that represents this situation is

M - L = 55

L + M = 45

Step-by-step explanation:

Let age of Lindsay is  = L

Age of mark = M

Given that

Lindsay is  55 years younger than Mark.

⇒ L = M - 55

⇒ M - L = 55 (1)

Seven years ago, the sum of their ages was 31.

⇒ ( L - 7 ) + (M - 7) = 31

⇒ L + M = 45 (2)

Therefore the system of equations that represents this situation is

M - L = 55

L + M = 45

1

step-by-step explanation:

it's the only multiple of both and the least

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