9514 1404 393
Answer:
40°
Step-by-step explanation:
Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:
3x +2 = 4x -4
6 = x
Then the total angle measure of angle RST is ...
(3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees
m∠RST = 40°
Area = length x width
Area = 150 x 75
Area = 11,250 square feet
C is the answer.
The other ones do not make as much sense i am not completely sure.
An equation without exponents and two variables, is typically a straight line. All the points on the line with integer coordinates are solutions of the equation. Since x and y have to be positive as well, there aren't that many solutions.
Let's see where the line crosses the x-axis, it is where y=0:
x/0.5 + 0 = 18, so x=9 at the intercept. y=0 there, so this is a point on the line, but not a solution to the question (y was supposed to be positive).
Possible values for x are thus limited to 1,2,3,4,5,6 and 7. You can try them all (ie., solve the equation with them) and see for which x values the y is also positive and integer.
You will find that x=4, y=2 is the only pair that satisfies these conditions.