In a parallelogram abcd, ac ~ bd . is abcd a rectangle ?

Yes

Step-by-step explanation:

ABCD is  a parallelogram

By definition of parallelogram

AB=CD, BC=AD

...(given)

AB=AB

Reflexive property

AD=BC (By definition of parallelogram)

ABCABD

Reason: SAS postulate

Reason:CPCT

We know that  in parllelogram

Sum of same side interior angle=180 degrees

We know that

Opposite angles of parallelogram are equal

In rectangle , Opposite sides of rectangle are equal and each angle is of 90 degrees.

Therefore, by definition of rectangle

ABCD is a rectangle.

Hence, proved.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!