The sum of two positive integers, a and b, is at least 30. the difference of the two integers is at least 10. if b is the greater integer, which system of inequalities could represent the values of a and b?

a + b ≥ 30 b ≥ a + 10

a + b ≥ 30 b ≤ a – 10

a + b ≤ 30 b ≥ a + 10

a + b ≤ 30 b ≤ a – 10

a + b ≥ 30  b ≥ a + 10

Step-by-step explanation:

Step 1: Define

+a

+b

b is the bigger integer

Step 2: Write inequalities

"The sum of two positive integers, a and b, is at least 30."

"The difference of the two integers is at least 10."

56

step-by-step explanation:

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 .