8(10-K) = 2k
mutiply the bracket by 8
(8)(10)= 80
(8)(-k)= -8k
80-8k= 2k
move -8k to the other side
sign changes from -8k to +8k
80-8k+8k= 2k+8k
80= 2k+8k
80= 10k
divide by 10 for both sides
80/10= 10k/10
k= 8
Answer: k= 8
Method One
You could divide by 5 right away.
20/5 = - 3 + x
4 = - 3 + x Add 3 to both sides.
4 + 3 = x
x = 7
Method Two.
You could remove the brackets. This is slightly longer, but some questions can only be solved that way.
20 = 5(-3) + 5x
20 = -15 + 5x Add 15 to both sides
20 + 15 = 5x
35 = 5x Divide by 5
35/5 = x
7 = x
Answer:
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Step-by-step explanation:
Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:

This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:

Combine the 2 x's to get 2x.

Subtract 50 from both sides.

Divide both sides by 2.

Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.
PEMDAS should always be followed when doing math.
Parenthesis ()
Exponents ^
Multiplication *
Division /
Addition +
Subtraction -
Does the order in which you perform the subtraction matter in the distance formula?
Does the order in which you perform the subtraction matter in the slope formula?
Subtraction should always be performed lastly.