Determine whether the sum of two values is a rational number or an irrational number.

1). Rational

2). Irrational

3). Rational

4). Rational

5). Irrational

Step-by-step explanation:

To solve this question we should follow the rule,

"Addition of rational and an irrational number is an irrational number."

1). (rational number)

    (negative rational number)

                  [rational number]

2). π → (Irrational number)

   24 → (rational number)

   π + 24 → (Irrational number)

   Since addition of a rational and an irrational number is an irrational number.

3). = 2 (rational number)

     5 (rational number)

    2 + 5 = 7 (rational number)

4). (rational number)

    (rational number)

    (rational number)

5). (rational number)

    → (Irrational number)    

    → (Irrational number)

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^