The value of x from the given figure is 11
<h3>Complementary angles</h3>
The sum of two complementary angles is 90 degrees.
The angles shown in the diagram are complementary such that;
20 + 5x + 15 = 90
5x + 35 = 90
5x = 90- 35
5x = 55
x = 55/5
x = 11
Hence the value of x from the given figure is 11
Learn more on complementary angles here: brainly.com/question/98924
#SPJ1
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)
Answer:
3.11%
Step-by-step explanation:
4/128.6=0.0311
multiply by 100
3.11%
Answer: 0.04
Explanation:
Divide 1 by 25 and you’ll get 0.04
Answer:
165 ways
Step-by-step explanation:
Selection deals with combination
There are a total of 11 from which 3 are to be selected
11C3 = 11!/3!(11-3)!
= 11!/(3!x8!)
=(11x10x9x8!)/(3x2x8!)
=11x10x9/6
=11x5x3 = 165 ways
