X = cost of car before tax
Total cost = (cost of car before tax) + (tax amount)
Total cost = x + 5% of x
Total cost = x + 0.05x
Total cost = 1.05x
The total cost is given to be $14,512, which means
<span>Total cost = 1.05x = 14512
</span>
1.05x = 14512
1.05x/1.05 = 14512/1.05
x = 13,820.95238
x = 13,820.95
The total cost of the car before tax, to the nearest cent, is $13,820.95
Hello!
We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:
(angle 1) + (angle 2) + (angle 3) = 180
Insert all known values and variables of triangle ABC into the formula above:
30 + (80 + y) + y = 180
Simplify and combine like terms:
30 + 80 + y + y = 180
110 + 2y = 180
Now subtract 110 from both sides of the equation:
2y = 70
Divide both sides by 2:
y = 35
We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:
y + y + x = 180
(35) + (35) + x = 180
Combine like terms:
70 + x = 180
Subtract 70 from both sides of the equation:
x = 110
We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.
I hope this helps!
It should be emphasized that a connection is proportional if its graph is a line that passes through its origin.
<h3>How should the information be illustrated?</h3>
If the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to achieve this, the ratio is not proportional.
The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a connection is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.
Additionally, if anything is not linear, it is not proportional.
Graph information is available at:
brainly.com/question/17267403
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Answer:
(5x - 3y)(25x² +15xy + 9y²)
Step-by-step explanation:
125x³ - 27y³ is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
Given
125x³ - 27y³
= (5x)³ - (3y)³
= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)
= (5x - 3y)(25x² + 15xy + 9y²)