Look at the rectangle and the square:

anna says that the length of diagonal sq is two times the length of diagonal om.

is anna correct? justify your answer and show all your work. your work should state the theorem you used to find the lengths of the diagonals.

Anna is incorrect.

Step-by-step explanation:

Find lengths of diagonals SQ and OM.

1. Consider right triangle SQR. By the Pythagorean theorem,

2. Consider right triangle OML. By the Pythagorean theorem,

Since diagonal SQ is not two times diagonal OM. Thus, Anna is incorect.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

step-by-step explanation:

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