Ateacher asks her students to design a game board for a class project. the dimensions of the boards created by four students are shown below. angela length: 20 cm width: 21 cm diagonal: 29 cm bradley length: 9 in. width: 9 in. diagonal: 9 in. carlton length: 25 cm width: 30 cm diagonal: 35 cm della length: 10 in. width: 12 in. diagonal: 15 in. whose game board could be a rectangle?

Angela's board is a rectangle.

Step-by-step explanation:

As we know rectangle follow two properties.

1). All angles of a rectangle are right angle.

2). Opposite sides of a rectangle are equal in measure.

Since all angles of a rectangle are 90°. Therefore, right angle triangle formed by length, width and diagonal will follow Pythagoras theorem.

For Angela

20² + 21² = 841 = 29²

Therefore Angela's board is a rectangle.

For Bradley

9² + 9² = 162 ≈ 9²

So Bradley's board is not a rectangle.

For Carlton

25² + 30² = 1525 ≠ 35²

Carlton's board is not a rectangle.

For Della

10² + 12² = 244 ≠ 15²

Della's board is not a rectangle.

Therefore, Angela's board is a rectangle.

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation:

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%