Answer:
5 sides
Step-by-step explanation:
The quickest way to answer this is to use the fact the exterior angles of a polygon add to 360.
If the interior angles are each 108, then the exterior angles are each 180 - 108 = 72. (using the fact that the Interior angle + exterior angle adds to 180)
Next, we just work out 360 ÷ 72 = 5.
So the polygon must have 5 angles, and therefore 5 sides.
Answer:
The slope is 1/2.
Step-by-step explanation:
I hope this helps and I hope u have an Amazing day!
First, make the table so you can sketch the graph:
x | y
5 | 20
4 | 9 x² - 5 ; x > 3
<u> 3 | </u><u>4 </u><u> </u><u><em>(open dot) </em></u><em> ⇒ </em>from the right
<u> 3 | </u><u>5</u><u> 5 ; x = 3 </u> ⇒ at x = 3
3 | 2 <em>(open dot) ⇒ </em>from the left
2 | 4 -2x + 8 ; x < 3
<u> 1 | 6 </u>
Next, look at the graph (or table) to find the limits:
lim 3⁺ = 4 <em>as x approaches 3 from the right, y approaches 4</em>
lim 3⁻ = 2 <em>as x approaches 3 from the left, y approaches 2</em>
lim 3 = DNE <em>lim 3⁺ ≠ lim 3⁻ so the limit does not exist</em>
f(3) = 5 <em>when x = 3, y = 5</em>
f(x) is NOT continuous at x = 3 <em>because lim 3 ≠ f(3)</em>
6 * (4 in)^2 = 96 in^2 . . . . area of a 4 inch cube.
m∠1 + m∠2 = 90°
(2x + 7)° + (6x - 9)° = 90°
2x + 6x + 7 - 9 = 90
8x - 2 = 90
+ 2 + 2
8x = 92
8 8
x = 11.5°
