<em>5) x = 8</em>
<em>6) z = 49°</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>5)</em>
<em>we have opposite angles =></em>
<em>5x = 2x + 24</em>
<em>5x - 2x = 24</em>
<em>3x = 24</em>
<em>x = 24 : 3</em>
<em>x = 8</em>
<em>6) </em>
<em><u>The sum of the three interior angles in a triangle is always 180° !</u></em>
<em>x = 180° - (28° + 39°)</em>
<em>= 180° - 67°</em>
<em>= 113°</em>
<em />
<em>x ; y = supplementary angles => </em>
<em>x + y = 180° => </em>
<em>y = 180° - x</em>
<em>= 180° - 113°</em>
<em>= 67°</em>
<em />
<em>z = 180° - (64° + 67°)</em>
<em>= 180° - 131°</em>
<em>= 49°</em>
<em />
<em>Good luck !</em>
<em />
Answer:
(7, -1)
Step-by-step explanation:
Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.
6a-2(a-1)
6a-2a-2
4a-2
I think it is 4a-2
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
One equation would be y= -1.5x +11
Step-by-step explanation:
Here's a table to show the coordinates
x: y:
8 -1
-------------------
-4 17
the x coor. 8 goes down by 12 to get to the next x coor. -4.
8-12= -4
the y coor. -1 goes up by 18 to get to the next y coor. 17.
-1+18= 17
therefore 18/-12 is -1.5 which can be your k in y=kx+b.
Check your answer.
-1.5*8= -12 but when you add 11, you get the y coor. -1
Do the same with the other x coor.
-4*-1.5= 6 + 11 =17
11 can be your b in the slope-intercept form equation.
One equation may be y = -1.5x +11