2 and 1/3 + 2 and 2/3 = ?

5

Step-by-step explanation:

2 + 2 = 4

1/3 + 2/3 = 1

4 + 1 = 5

5

Step-by-step explanation:

When adding fractions, all you are doing is adding the whole numbers first, 2+2, and then putting that aside. So with 4 on the side, we will then add our fractions. We will line them up and add the numerators and leave the denominator the same. If the numerator is higher than the denominator, we create a whole and subtract the denominator until we are with a smaller numerator. However many times we subtracted this would add a whole number. However, we do not have to do this so we will add 1 and 2 to equal 3. This means we have 3/3 or one whole so we will add 1 to the 4 we had earlier to get 5. Hope this helps :D

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).

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions