during the week. Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas. What was Jimmy’s change in dollars at the end of the week?

5

Step-by-step explanation:

Let's look at the question.

Spent- He spent 45 dollars eating out.

He spent an additional 15 dollars on gas

Earned- He earned 55 dollars from mowing lawns

Earned is going to be a positive value.

Spent is going to be a negative value.

The situations don't matter in the context of the question. They are just asking how much he got charged.

The amount charged is always positive. You can never have a negative charged amount of money. That would mean the bank owed you money, which would never happen.

Let's substitute the values into an equation.

The variable C will stand for amount charged.

C = -45 + 55 - 15

Combine the negative values to get -60

Add -60 to 55.

You will get -5, which then you will have to take the absolute value of.

The absolute value will be the charge in dollars at the end of the week.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°