Answer:
x= 62
Step-by-step explanation:
The value of a triangle is 180 degrees.
68.5+49.5= 118
180-118= 62 degrees
Answer:
y = Five-sixths x – 12
Step-by-step explanation:
In the picture attached, the given line is shown. Its slope is:
m = [6 - (-4)]/[12 - 0] = 5/6
The line that is parallel to the given line has the same slope.
A line with slope m that pass through (x1, y1) satisfies:
y - y1 = m(x - x1)
Replacing with m = 5/6 and point (12, -2):
y - (-2) = 5/6(x - 12)
y + 2 = 5/6x - 10
y = 5/6x - 10 - 2
y = 5/6x - 12
Answer:
Axis of symmetry:

Vertex:

Step-by-step explanation:
The given quadratic equation is

By comparing to the general quadratic function;

We have a=4,b=5,c=-1
The equation of the axis of symmetry is given by the formula;

We got this formula by completing the square on the general quadratic function.
We substitute a=4 and b=5 to obtain;


is the axis of symmetry.
To find the y-value of the vertex, we put

into the function to obtain;



The vertex of the given function is
Answer:
25, 21, 13, 9
Step-by-step explanation:
All you do here is plug in the X from the table to the X in the equation so,
y=29 - 4 x 1 = 25
y=29 - 4 x 2 = 21
y=29 - 4 x 4 = 13
y=29 - 4 x 5 = 9
Answer:
15
Step-by-step explanation: