If the angles are represented in degrees, find both angles:
cos(8x+18)=sin(−2x+36)

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos  66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w