The equation x2 + y2 – 16x + 12y = j describes a circle.
Part A
Determine the x-coordinate of the center of the circle.
4
8
12
16
Solve for x. Triangle EFG is similar to triangle EUV.
What is the value of x?
6
Part B
Using the same angle measure found in part A, find the necessary height, in inches, of support beam 2, if it is built 30 inches to the right of the beginning of the ramp.
Use the triangle to answer the question.
In the right triangle PQR, m∠R ≠ m∠Q. Let sin R = a + b and cos R = c.
What is sinQcosQ?
a+bc
ca+b
1
–1
If triangle WXY on the coordinate grid is dilated at center (0, 0) by a factor of 2, What statement is true?
the slope of W'Y' will be double the slope of WY
the slope of W'Y' will be equal to the slope of WY
W'Y' will lie on the same line as WY
∆WXY ≅ ∆WʹXʹYʹ