Amanufacturer produces microwaves. she estimates that by selling them for x dollars each, she will be able to sell 230-3x each week.
determine what price will yield a maximum revenue. ( round your answer to two decimal places.)

1 In the diagram below, ABC ≅ DEF.

Which sequence of transformations maps ABC onto DEF?

2 On the set of axes below, the vertices of PQR have coordinates P(6,7), Q(2,1), and R(1,3).

What is the area of PQR?

3 In right triangle ABC, m∠C = 90°. If cos B = 5/13, which function also equals 5/13?

4 In the diagram below, mABC = 268°.

What is the number of degrees in the measure of ∠ABC?

5 Given MRO shown below, with trapezoid PTRO, MR = 9,MP = 2, and PO = 4.

What is the length of TR?

6 A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

7 Which figure always has exactly four lines of reflection that map the figure onto itself?

8 In the diagram below of circle O, chord DF bisects chord BC at E.

If BC 12 and FE is 5 more than DE, then FE is

9 Kelly is completing a proof based on the figure below.

She was given that ∠A ≅ ∠EDF, and has already proven AB ≅ DE.

Which pair of corresponding parts and triangle congruence method would not prove ABC ≅ DEF?

10 In the diagram below, DE divides AB and AC proportionally, m∠C = 26°, m∠A = 82°, and DF bisects ∠BDE.

The measure of angle DFB is:

I. Diagonals are perpendicular bisectors of each other.

II. Diagonals bisect the angles from which they are drawn.

III. Diagonals form four congruent isosceles right triangles.