Answer:
133°
Step-by-step explanation:
Let the measure of one angle be x, then the measure of the other angle is
3x - 8
Supplementary angles sum to 180°
Sum the 2 angles and equate to 180
x + 3x - 8 = 180
4x - 8 = 180 ( add 8 to both sides )
4x = 188 ( divide both sides by 4 )
x = 47
The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°
Answer:
True
Step-by-step explanation:
Do the working for it and youll find the answer


Answer:
6
Step-by-step explanation:
because i just know it lol
So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation

or

We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values