Answer:
The absolute value wiill change
Step-by-step explanation:
Inserting different values in the absolute value can change the numerical value of the equation as a whole.
Answer:
x = 1
Step-by-step explanation:
Well the first step is to apply the distributive property:
4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.
And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.
Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.
Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.
[If there's no number in front of a variable, you can always just put 1 in order to make it easier]
12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13
Finally, 13x = 13. Divide 13 ÷ 13 to get 1.
x = 1
Originally without the 10% extra, both have 100%. since the question stated that the first salesperson have 10% more, the percentage of his paycheck will be a total of 110%. on the other hand, the second salesperson will have only 100%. the question then stated that when both oaychecks are added together, it will give a total of $1075.
110% + 100% represents $1075
210% represents $1075
so now you need to find what is 1 %
1% represents $(1075/210)
the first salesperson have 110%, so you
(1075/210) × 110% = $563. 0952381
round off to the nearest cent so it will become $563.10
the first salesperson paycheck is $563.10
the second salesperson paycheck 100%. so you....
(1075/210) × 100% = $511.9047619
=$511.90
therefore the second salesperson paycheck is $511.90.
Answer:
45°
Step-by-step explanation:
A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).
For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).
Consecutive angles are supplementary that is ∠A + ∠B = 180°.
The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.
In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:
∠H = ∠J (opposite angles of a parallelogram are equal)
∠J = 45°