probability of not drawing a T is The probability of this
compound event is 46 . C
This is a calculator problem. The problem asks for the measure of an
acute angle of a right triangle. Use trigonometry to solve. Side is
adjacent to ∠EFD, and side is the hypotenuse. Use the cosine
function: so the measure of
which is 73.40°, to the nearest hundredth of a degree.47 . D
Substitute the value of (a − 3) for x in the function: f(a − 3) = (a − 3)^2 − 7.
Multiply to get (a − 3)(a − 3) − 7 = a^2 − 6a + 9 − 7. Combine like terms: a^2 −
6 a + 2.
48 . A
The coordinates of the midpoint of two points (x 1 ,y 1 ) and (x 2 ,y 2 ) are
Setting x 1 = −3 and y 1 = −8, solve for x 2 and y 2 . First,
or 2= −3 + x 2 . Add 3 to both sides, and x 2 = 5. Second,
or −10 = −8 + y 2 . Add 8 to both sides to get y 2 = −2.49 . B
Draw the triangle on a coordinate plane, as shown below: