Ronald owns a fish tank on thr shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronal

The total of 2 2/3 and 2 3/4 amounts to 5 5/12, indicating that the drapes must be 5 5/12 feet in length (equivalent to 5 feet 5 inches).

(x – 8)² + (y – 9)² = 3 (x – 8)² + (y – 9)² = 14 are the correct answers.

When two straight lines cross, the vertically opposite angles created are equal, and the remaining two angles match each other as well. Suppose one known angle is x; then the two adjacent angles can be calculated by subtracting twice x from 360 degrees and dividing the remainder by 2.

Thus, the table fills out as follows:

Row 1:

Given angle <GEF = 120°

Angle <FEM is adjacent to <GEF, so


Angle <MEH is vertically opposite to <GEF, making it equal to 120°

Angle <HEG is vertically opposite <FEM, so it equals 60°.


Row 2:

Given angle <MEH = 150°

Since <MEH is vertically opposite to <GEF, <GEF = 150°

Angle <FEM is adjacent to <GEF, thus


Angle <HEG is vertically opposite to <FEM, so <HEG = 30°.


Row 3:

Given angle <FEM = 25°

Angle <FEM is adjacent to <GEF, thus


Angle <MEH is vertically opposite to <GEF, equal to 155°

Angle <HEG is vertically opposite <FEM, so it equals 25°.


Row 4:

Given angle <HEG = 45°

Angle <HEG is adjacent to <GEF, so


Angle <FEM is vertically opposite to <HEG and thus equals 45°

Angle <MEH is vertically opposite to <GEF, hence <MEH = 135°.

Step One

Deduct 32 from both sides.

F - 32 = \frac{9}{5}(k - 273.15)

Step Two

Multiply each side by \frac{5}{9}.

\frac{5}{9}(F - 32) = \frac{5}{9} \times \frac{9}{5}(k - 273.15)

\frac{5}{9}(F - 32) = k - 273.15

Step Three

Add 273.15 to both sides.

\frac{5}{9}(F - 32) + 273.15 = k

Problem B

F = 180

Solve for k

k = \frac{5}{9}(F - 32) + 273.15

k = \frac{5}{9}(180 - 32) + 273.15

k = \frac{5}{9} \times 148 + 273.15

k = 82.2222 + 273.15

k = 355.3722

k = 355.4  <<< Answer

Possible outcomes:

Heads Heads

Heads Tails

Tails Tails

Tails Heads

Probability of matching: 2/4 = 0.5

Torin should consent since the suggestion is equitable