If AB and CD are parallel lines and PR is the transversal, then angle PRD = angle APR by alternate interior angle theorem.
Angle PRD = 120 degrees so, 65 + x = 120 degrees
120 - 65 = 55 degrees
Answer:
Bvcvbcc
Step-by-step explanation:
Bbvvbbbbb
Step-by-step explanation:
According to the question a(n) = -5 for all real values of n.
So the 12th term in the sequence is -5.
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
Alternatively, you can write radicals as rational exponents, so that you get
Then recalling that
, you have