Three picture frames were measured in inches and the results are shown below, without rounding. determine which picture frame has a flawed construction because it does not have perpendicular side lengths based on the given measures.

a

b

c
no

In the case of the second frame, the sides are not perpendicular to each other.

Step-by-step explanation:

A. The length (l) of the frame is 20 and width (w) is 15.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as

⇒ d = 25 (Also given)

So, the frame is rectangular one.

B. The length (l) of the frame is 22 and width (w) is 10.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as

⇒ d = 24.166 ≠ 24 (24 is the given value)

So, the frame is not a rectangular one.

C. The length (l) of the frame is 21 and width (w) is 20.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as

⇒ d = 29 (Also given)

So, the frame is rectangular one.

Therefore, in the case of the second frame, the sides are not perpendicular to each other. (Answer)

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,