The answer is choice A
The sample space is basically the set of all possible outcomes. Each outcome is a pair of results from drawing a card coupled with spinning a spinner.
Table A represents all of the possible outcomes properly. The card results are along the column on the left side. The spinner results along the row up at the top. Each cell is an intersection of the left and top result. For example, row1,column3 has "red,purple" to indicate you got "red" on the spinner and "purple" on the card. Each cell in table A is correctly labeled.
The other tables (B, C, D) are improperly labeled in at least one cell.
* Table B has "blue, green" in the top row" middle cell when it should be "blue, purple"
* Table C has "green, green" in the upper left corner when it should be "green, purple"
* Table D has "blue, blue" in the bottom middle cell when it should be "blue, green". Saying "blue,blue" is impossible as there isn't a blue card.
The three items mentioned above help us eliminate choices B through D.
16 is the rational number, hope this is helpful
I think, I'd go with A) Always true. As 2 points is always the line. If you add third one, it will be collinear.
Let the length of second side be x" ,
So,
Length of first side = 2" shorter than second = ( x - 2 )"
Length of third side = 5" longer than second = ( x + 5 )"
=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=

Given, perimeter = 33"
= > first side + second side + third side = 33"
= > ( x - 2 ) + x + ( x + 5 ) = 33
= > x - 2 + x + x + 5 = 33
= > 3x + 3 = 33
= > 3x = 30

= > x = 10
Hence, length of each side is
First side = ( x - 2 )" = ( 10 - 2 )" = 8 inches
Second side = x " = 10 inches
Third side = ( x + 5 )" = ( 10 + 5 )" = 15 inches
Answer:



Step-by-step explanation:
we current vertices of the given triangle
remember that,

so we obtain:


