Question

ABCD is a parallelogram. Which statements are true?

1.) The value of y is less than 72.
2.) The value of x is a factor of the value of y.
3.) The value of y is three more than a multiple of x.
4.) The value of y is at least six times the value of x.

Answer 1

The statement that is true is that the value of y is at least six times the value of x. Option 4

How to determine the statement

First find the value of y

y - 3 = 72° , because opposite sides of a parallelogram are equal

We have that;

y = 72+ 3

y= 75°

The values of 'y' is not less than 72°

x + 5 = 17 because opposite sides of a parallelogram are equal

x = 17 - 5

x = 12

We can see that the value of y is at least six times that of 'x';

x × 6 = 72 of which 'y' is greater

Thus, the statement that is true is that the value of y is at least six times the value of x. Option 4

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