A tributary joins a river at an angle. Find the value of x.
WhAt this is- just- uGh

x = 53

Step-by-step explanation:

I'm going to assume that this is just a real-life scenario of two lines intersecting to create two adjacent angles that are also a linear pair. So, the following equation can be set up to solve for x.

x + 2x + 21 = 180

3x + 21 = 180

3x = 159

x = 53

Time to check.

53 + 2(53) + 21 = 180

53 + 106 + 21 = 180 It works!

x = 53º

Step-by-step explanation:

The two angles form a supplementary angle, telling us that the sum of the two equal 180º, allowing us to form one side of the equation.

2x + 21 + x = 180

+x

3x + 21 = 180

     -21     -21

3x = 159

159/3 = 53

x = 53º

(also I know it doesn't say you have to find the value of each angle but just in case lol)

Now that we have x, the first angle equals 53º. Just plug in 53 to the other side

2(53) + 21

106 + 21 = 127

just to check, 127 + 53 = 180

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'.