The sum of the interior angles of a polygon with $n$ sides is $180(n-2)$ . Since the shape in the figure has 5 sides, the sum of its interior angles is $180(5-2)=180\cdot 2=540^{\circ}$ .

Therefore, we can set up the following equation:

$95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}$

Since $\angle x$ and $\angle y$ make up one side of a line, they are supplementary, as each side of a line is $180^{\circ}$ .

Thus, we have:

$x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}$

4 0

3 years ago

2. Graph the following equation: y = - 1/2 x + 4

Murljashka [212]

Answer:

Step-by-step explanation:

y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.

To graph this, first plot the y-intercept (0, 4).

Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.

Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).

Draw a straight line through (0, 4) and (2, 3).

8 0

3 years ago