Help me

32

Step-by-step explanation:

In order to find the measure of angle A we must first find x

If you didn't know, supplementary angles add up to equal 180

Hence, 2x - 16 + 5x + 28 = 180

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation that we created

2x - 16 + 5x + 28 = 180

Combine like terms

7x + 12 = 180

Subtract 12 from both sides

7x = 168

Divide both sides by 7

We're left with x = 24

Now to find Angle a

To find Angle A we simply substitute 24 for x in 2x - 16

* Substitute 24 for x *

2(24) - 16

Multiply

48 - 16

subtract

/_ A = 32

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'.