When is the sum of a positive and a negative number equal to a negative number explain in at least one complete sentence then give an example for this

Think money

If you owe your mom 75 dollars, from your point of view you have - 75 dollars.

You go for a walk in the park and find a 50 dollar bill. There's no one around, so you decide to keep it. If you intend to pay your mom back, where are you? From your point of view you just have + 50 dollars to offset that - 75. Add them together.

- 75 + 50 = -25 You are still in negative territory, but you owe your mom a lot less than you did before you went for a walk.

The sum of a positive and a negative number is negative when the negative number is further from 0 than the positive number.

Formally, we'd say that the negative number has to have a bigger absolute value than the positive number.

For instance, in the expression 3 + (-5), 3 is 3 units from 0, while -5 is 5 units away - mathematically, |3| = 3 and |-5| = 5, so |-5| > |3|. Doing the addition and finding 3 + (-5) = -2, a negative number, we find that this agrees with our initial definition.

b. x- 48 =120

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