Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 given ⇒ 3(x − 4) + 5x = 9x − 36 step 1 ⇒ 3x − 12 + 5x = 9x − 36 step 2 ⇒ 3x + 5x − 12 = 9x − 36 step 3 ⇒ 8x − 12 = 9x − 36 step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 step 5 ⇒ 0 − 12 = x − 36 step 6 ⇒ −12 = x − 36 step 7 ⇒ −12 + 36 = x − 36 + 36 step 8 ⇒ 24 = x + 0 step 9 ⇒ 24 = x which property yields step 7? a) additive inverse property b) additive identity property c) addition property of equality d) commutative property of addition

In Step 6, the equation is ...

  -12 = x - 36

In step 7, the equation is ...

  -12 +36 = x -36 +36

Clearly, to get to step 7, 36 has been added to both sides of the equation.

Adding 36 to both sides of the equation is justified by ...

... C)Addition Property of Equality

More about the addition property of equality

The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation: