Stephanie wants to check if the top of a side table she saw for sale is perfectly rectangular. She measured the dimensions of the table and found the following:
Length of table: 15 inches
Width of table: 7.5 inches
Diagonal length of table: 17 inches Is the table perfectly rectangular?

NO

Step-by-step explanation:

c^2=a^2+b^2

17^2=15^2+7.5^2

289=225+56.25

289≠281.25

no not perfectly rectangular

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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step-by-step explanation: