Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
When you round you have to check the number to the right of the number you are rounding. If the number to the right is 0-4 then you keep the number the same. 5-9 the number you are rounding goes up by one. Now the 4 before the decimal point is in the ones spot. The 5 to the right of the 4 is the tenth spot and the 6 to the right of that is in the hundredth spot. so this is where we need to round. To the right of the 6 is a 4 so the number would stay the same. Now when you round you drop all the numbers after it so the number is 3184.56
Answer:
Average speed, S = 45 mph
Step-by-step explanation:
<u>Given the following data;</u>
Take-off time = 10 AM
Arrival time = 4 PM
Distance = 270 miles
To find the average speed of the bus;
First of all, we would determine the total time.
10 AM to 4 PM = 6 hours
Total time = 6 hours
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the formula;

Substituting into the formula, we have;

<em>Average speed, S = 45 mph</em>
<em />
<em>Therefore, the average speed of the bus is 45 miles per hour.</em>
The answer is actually 62
Answer:
in first use the take B as a reference point then 12 will be our perpendicular and c as 90 degree represent the opposite as hypotenuse means 13 will be hypotenuse nd base will be 5.At last use Pythagoras theorem,...