Answer:
4/10 is equivalent to 2/5
Step-by-step explanation:
because 4/10 is written as 0.4 in decimal form and so is 2/5, which means they are equivalent
When you collect terms, for
the first one you get
-x² -3xy +4 = -x² -3xy +4 . . . . . . equivalent equations.
Answer
456.50=159 + 3.5x
OR
3.5x=456.50-159
Reason
456.50 is the total
159 is for the parts
3.5 is the number of hours
So to find the cost you have to find out how much it cost for the labor by subtracting the total cost from the cost of the parts. To find the cost of labor for each hour you have to divide the total cost of labor by the number of hours used to work on the computer
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
D) (4, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point P(1, 3)
Point Q(7, 7)
<u>Step 2: Identify</u>
P(1, 3) → x₁ = 1, y₁ = 3
Q(7, 7) → x₂ = 7, y₂ = 7
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<u>Step 3: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:

- [Midpoint] Add:

- [Midpoint] Divide:
