The -1 means that y = -1, so point is one unit below the x-axis. In (5, -1), the x is positive, which could put the point in either the first quadrant or the fourth. With the y being negative, however, it means that the point is in the fourth quadrant. Those are your 2 true statements.
Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
Perimeter = 2*(length +width)
perimeter = 2*(3x + (3x +(2x+6)))
.. = 2*(3x +3x +2x +6)
.. = 2*(8x +6)
perimeter = 16x +12
If x=3, the perimeter is 16*3 +12 = 60 inches.
