Write an expression in terms of x to represent the area of parallelogram PQRS

The value of b is 5 if the parallelogram is a rectangle

Step-by-step explanation:

Mathematically, the diagonals of a rectangle are equal in value

Thus, for the given expressions to represent the diagonals of a rectangle, the two must be equal

To get the value of b that makes the two equal, we simply equate the two expressions

We have this as;

10/12(24b/5 - 36/5) = 2/3 (3b + 6)

opening the brackets, we have;

4b - 6 = 2b + 4

4b - 2b = 4 + 6

2b = 10

b = 10/2

b = 5

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )