Answer:
Step-by-step explanation:
Answer:
38 degrees
Step-by-step explanation:
If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS
x = # of days
y = total calories
Simba = 1000 + 140x = y
Cuddles = 2650 - 190x = y
Let's set both of these equations equal to each other
1000 + 140x = 2650 - 190x
Add 190x to both sides and subtract 1000 from both sides.
330x = 1650
Divide each side by 330
x = 5
After 5 days, they will be consuming the same amount of calories.
To find out how many calories they will be consuming, let's plug 5 into our Simba equation.
1000 + 140(5) = y
Multiply 140 by 5
1000 + 700 = y
Simplify
1700 = y
They will be consuming 1,700 calories each day.
Answer:
If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
