∠rst and ∠vst are a linear pair, m∠rst = 3x 7, and m∠vst = 9x 17. what are the measures of m∠rst and m∠vst?a.46, 134b.26, 154c.5

Answer: The correct choice is B. Step-by-step explanation:

The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:

-2x + 5x = 8 + 4
Next, simplify both sides:

3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.

To determine the time interval δt, we must subtract the starting time from the ending time. In this scenario, the first value in the coordinates signifies time:

δt=50 - 0
δt= 50s

The time interval is 50s.

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

To find the original number where 65% equals 1105:
0.65x = 1105
x = 1105 ÷ 0.65
x = 1700... hence, the original number is 1700.

Calculating 82% of 1700:
0.82 * 1700 = 1394 <== this is your answer.