If &A and B are a linear pair and m&A = 2x + 8 and m&B = 3x + 2, what is the value of x? *
Your answer
If 4A and B are vertical angles and m&A = 7x - 5 and m&B = 4x + 10, what is the
value of x? *
Your answer

34;

5

Step-by-step explanation:

1. m<A = 2x + 8 (given)

m<B = 3x + 2 (given)

Since <A and <B are a linear pair, therefore:

m<A + m<B = 180° (angles in a linear pair add up to 180°)

(2x + 8) + (3x + 2) = 180 (substitution)

Solve for x

2x + 8 + 3x + 2 = 180

Collect like terms

5x + 10 = 180

Subtract 10 from each side of the equation

5x = 180 - 10

5x = 170

Divide both sides by 5

x = 34

2. m<A = 7x - 5 (given)

m<B = 4x + 10 (given),

Since m<A and m<B are vertical angles, therefore:

m<A = m<B (vertical angles are congruent)

7x - 5 = 4x + 10 (substitution)

Subtract 4x from both sides

7x - 5 - 4x = 4x + 10 - 4x

3x - 5 = 10

Add 5 to both sides

3x - 5 + 5 = 10 + 5

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

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|