Answer:
78°
Step-by-step explanation:
If the Vertex of the angle is ON the circle, then the arc is double the angle. See image.
Answer:
$50.88
Step-by-step explanation:
Adjusted Price without tax = 0.8 * 60,
0.8 * 60 = 48,
With Tax = 1.06 * 48,
1.06 * 48 = 50.88
∴ New Price = 50.88
Answer:
<em>Scott will take 221 minutes to run 52 km</em>
Step-by-step explanation:
<u>Speed</u>
The speed of an object can be calculated with the formula:
![\displaystyle v=\frac{d}{t}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%3D%5Cfrac%7Bd%7D%7Bt%7D)
Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:
![\displaystyle v=\frac{20}{85}\ km/min](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%3D%5Cfrac%7B20%7D%7B85%7D%5C%20km%2Fmin)
Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:
![\displaystyle t=\frac{d}{v}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bd%7D%7Bv%7D)
Since the speed has been already determined:
![\displaystyle t=\frac{52}{\frac{20}{85}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B52%7D%7B%5Cfrac%7B20%7D%7B85%7D%7D)
Multiplying by the reciprocal of the denominator:
![\displaystyle t=52*\frac{85}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D52%2A%5Cfrac%7B85%7D%7B20%7D)
t = 221 min
Scott will take 221 minutes to run 52 km
The answer is 146. These are corresponding angles, so they will have the same measure.
Put in -4 for y
13x=4x+4(-4)
Subtract 4x from both sides
9x= -16
Divide both sides by 9
X=-16/9