Find the value of each variable.

a = 20

b = 30

Step-by-step explanation:

1) Solving for a

From the diagram above, KL + ML = An arc

Hence, we add them up

110° + 130° = 240°

1/2 of 240° = 120°

Solving for a°

180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)

180° - 120° = 3a

60° = 3a

a = 60/3

a = 20

2) Solving for b

The sum of the exterior angles of a circle = 360°

Hence:

360° = KL + ML + JM + JK

KL = 110°

ML = 130°

JM = 54°

JK = ??

JK = 360 - (110° + 130° + 54°)

JK = 360 - 294

JK = 66°

Adding up JK + JL = 54° + 66°

= 120°

1/2 of 120° = 60°

Hence:

60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)

4b = 180° - 60°

4b = 120°

b = 120/4

b = 30

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|