If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
Point S will have the coordinates of (3, -5).
Point R will have the coordinates of (-1, -5).
Point U will have the coordinates of (-1, -9).
Point T will have the coordinates of (3, -9).
According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
The equation would be 6x+x=63. Not sure how the models play out, but good luck
Atmospheric pressure = 101,325 Newtons / m²
Weight per meter square = 101,325 Newtons
Mass per meter square = 101,325 / (9.81 x 1000)
Mass per meter square = 10.3 tonnes per m²
These two lines create vertical angles, which are congruent. That means angle z = 60 degrees. Since angle z and the angle represented by the expression 6x + 60 are supplementary (they are adjacent angles that add to equal 180 degrees), you can set up the following equation to find x:
6x + 60 + 60 = 180
6x + 120 = 180
6x = 60
x = 10
Answers:
x = 10
z = 60
