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allsm [11]
3 years ago
14

Lilly estimated a quotient of 120 and found an actual quotient of 83. what should she do next? explain.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

After she worked out the problem, she had a discrepancy (disagreement) of
about 45% between her estimate and the quotient. 

That's a lot !  There's almost definitely a major mistake somewhere, and
there really isn't any way to tell whether the mistake is in the estimate or
in the quotient. 

My answer to the question is that Lilly has to go all the way back to the
beginning, and do the whole thing again. Only this time, she has a harder
job to do:  She not only has to make another estimate and work out the
division problem again.  This time, she also has to find the mistake that
she made the first time ... and there may be more than one of them.


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You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.

In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.

Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8

Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees

You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38

Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
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