Answer:
61°
Step-by-step explanation:
Angle extended to the circumference is half the angle at the centre
ADC = ½ ABC = ½ × 122 = 61
Answer:
(23,-23)
Step-by-step explanation:
If company programmed rozo to walk 3 yards east and 4 yards north each minute, then after 7 minutes rozo walked 3·7=21 yards east and 4·7=28 yards north.
On the coordinate plane north direction is moving down and east direction is moving to the right.
Since rozo walked 21 yards to the right and 28 yards down, then its coordinates became (2+21,5-28)=(23,-23).
.50 or 1/2
.10 or 1/10
.75 or 3/4
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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Answer:
b
2 to the power of negative 1
Step-by-step explanation: