You have 15 dollars and earn 50 more dollars doing chores. you then go to the store to buy a shirt for 10 dollars. how much money do you have left.

This is actually quite simple. Let's think about it!

You start off with $15 and then, you earn another $50 because you did all of your chores. Since you gained $50, that would mean that you have to add $50 onto your $15.

$15 + $50 = $65

After you add, you will end up with $65. After you do you chores, you have to got to the store to buy a shirt that cost $10. Since you are spending money, that means you are decreasing in the amount of $$$ that you have, which means that you have to subtract. You have to take the $10 that you are spending and subtract it from the amount that have already, which is $65.

$65 - $10 = $55

Since you have successfully subtracted, you can see that you will end up with $55 in the end of your transaction.

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something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).