To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
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Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
TW UV
If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.
The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.
Now, looking at the image, we can see that:
Arc TW subtends Angle V and Angle U
*on the opposite side of the circumference*
So,
Angle V (measure given to be 30) is HALF of Arc TW, so
Arc TW = 2 * 30 = 60
So, Angle U is half of Arc TW
60/2 = 30
Hence,
<u>∠U = 30°</u>
Answer:
600 seconds
Step-by-step explanation:
In this case we have to calculate the speed;
Speed = Distance/Time
Speed = 100/20 = 5 mph
Next to get our answer we have to calculate the amount of time
Time = Distance/Speed
Time = 3000/5 = 600 seconds
119/8 is already in simplest form. However, if you attempt to change it to a mixed number the correct answer would be 14 7/8 (7 over 8).
Hope I helped!