Explain how can you use place value to compare 1.679 and 1.697.
Thanks!

Well, you look at each individual place value.

1.679 and 1.697

Compare 1 to 1. They are the same. Move on.

Compare 0.6 to 0.6. They are the same. Move on

Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09

Therefore 1.679 < 1.697

Hope this helps :)

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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).

b. x- 48 =120

step-by-step explanation: