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!
Answer: 6units
Step-by-step explanation:
Since it is a regular polygon, and it has 3 equal sides it means the polygon is a quadrilateral.
From the diagram,
5 - 2x = -4x + 9 ( side of quadrilateral )
Solving for x in the equation
-2x + 4x = 9 - 5 ( collection of like terms in simple linear equation )
2x = 4
Divide through by the coefficient of x which is 2
x = 2.
Therefore, the perimeter of the polygon which equals to the total length of the polygon is
Perimeter = 2 + 2 + 2
= 6units
Given:
Market VAlue = 85,000
Assessed value = 41%
property tax rate is 46.30 per 1,000 of assessed value.
85,000 * 41% = 34,850
34,850 / 1000 = 34.85
34.85 * 46.30 = 1,614.56
The property tax to be paid is $1,614.56
Since perpendicular lines have their slopes as negative reciprocals, the negative reciprocal of the given slope (3) is -1/3. Therefore the a value is -1/3.
