When abcd is drawn to scale, would the lines ad and bc be parallel or not? you must justify your answer without using a scale drawing.

a = 2x degrees
b = 90 degrees
c = x degrees
d = 3x degrees

  yes, they are parallel

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so ...

  2x + 90 + x + 3x = 360

  6x = 270 . . . . . subtract 90

  2x = 90 . . . . . . divide by 3

Then angles A and B are both 90°, meaning sides AD and BC are parallel.

The same-side interior angles at transversal AB between lines AD and BC are supplementary, so the crossed lines (AD and BC) are parallel.

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.

good luck on your studies! : )

david edward.