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Answer:
Step-by-step explanation:
cost price x .60 = 80
80/.60 = 133.33 was the cost price
<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line

We can substitute
to obtain;

If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;

We this equation for
.



We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.
Answer:
(3, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
3x + y = 10
y = x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 3x + (x - 2) = 10
- Combine like terms: 4x - 2 = 10
- Isolate <em>x </em>term: 4x = 12
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 2
- Substitute in <em>x</em>: y = 3 - 2
- Subtract: y = 1
And we have our answer!
The scale factor of a dilation in which the original polygon and its dilated image are congruent is 1.0. If the scale factor is greater than 1, the image is in enlargement. I hope my answer has come to your help. God bless and have a nice day ahead!