Answer:
a:36 b:30
Step-by-step explanation:
A:180-56, since it is a straight line.
180-124-20= 36
B:180-120=60
60+3x+1x=180
60+4x=180
4x=120
x=30
Answer:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
Answer:
7 5/12
Step-by-step explanation:
first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6
5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6
* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6
5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12
adding them gives you:
6 17/12 which is the same as 6 + 1 5/12, or 7 5/12
Answer:
4/9 that's the answer tan s = opp/adj
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.
Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>
Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
