Find the value of x PLS ANSWER THIS ASAP I WILL MARK THE BRAINIEST

B. x=7

Step-by-step explanation:

Similar Triangles

Assuming the up arrows indicate parallel lines, then triangles PQT and PRS are similar. See the image provided below.

Similar triangles have their side lengths proportional by a constant scale factor. They also have all of their internal angles congruent, or with the same measure.

This means that the marked angles are equal:

2x + 5 = x + 12

Subtracting x

x + 5 = 12

Subtracting 5:

x = 7

B. x=7

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'.

good luck on your studies! : )

david edward.