Answer:
15, -9
Step-by-step explanation:
It is given that J and K are points on the number line. J lies at 3 and JK=12.
We kneed to find the location of K.
A number line is a straight line with numbers placed at equal intervals and extended infinitely in any direction.
If K lies on the left side of J then the location of K is
3 + 12 = 15
If K lies on the right side of J then the location of K is
3 - 12 = -9
The locations of K are defined by the below number.
Therefore the locations of K are 15 and -9.
Answer:
A) (0, 0)
Step-by-step explanation:
To find the center of dilation, draw lines from each pre-image point to the image point. A picture of this is attached.
Once we get these lines drawn, the center of dilation will be the intersection of these lines. The lines intersect at (0, 0), so this is the center of dilation.
Slope of v: a=(9-14)/(10-1)=-5/9
Slope of w: b=-1/a=9/5=1.8
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Given:
Intercepted arcs of small circle:
78° and x°
Intercepted arcs of large circle:
57° and 121°
To find:
The measure of angle formed by two secants and the value of x.
Solution:
Consider a large circle:
The angle made by two secants intersecting outside a circle is half the difference between the measure of intercepted arcs.
The measure of the angle formed by two secants is 32°.
Two circles are concentric circles.
Therefore 32° is also the angle made by small circle arcs.
Multiply by 2 on both sides.
Add 78° on both sides.
The value of x is 124.