The answer is <span>g = 3/2 = 1.500</span>
Answer:
C) -5/12
Step-by-step explanation:
To find the slope of a line with given points, you divide the difference of y-coordinates by the difference of the x-coordinates of those same 2 points.
x's:-9-3=-12
y's:-1-(-6)=5
Then, you put the answer of the y's in the numerator, and x's in the denominator, giving you 5/-12, but you can't have a negative in the denominator, moving it up to become -5/12 as the slope.
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
