Answer: n =8
Step-by-step explanation:
Answer:
ST is longest
Step-by-step explanation:
- <em>Theorem: </em>
- <em>If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side</em>
The values of the angles are:
- ∠S= 50°,
- ∠T= 60°,
- ∠R= 180°- (50°+60°)= 180° - 110° = 70°
Since ∠R is the largest angle, the side ST is longest
Set up a ratio:
24 / 36 = x /12
cross multiply:
24 * 12 = 36 * x
288 = 36x
divide both sides by 36
x = 288 / 36
x = 8
answer is A) 8
Answer:
Step-by-step explanation:
Twelve
You are correct, but I have a small comment.
As far as I can see, you have both 12 and 13 correct. The short way to do 12 is just to divide 72 into 360
360 / 72 = 5
The more general formula is 360 / central angle = # of sides.
What the question means is that if your start with a polygon (it is a regular polygon by the way), and rotate it around its center, how many sides does it have in order that when you go through 72 degrees, the figure looks like it did when you started.
If the polygon is completely unmarked, then the idea is that it will look like you haven't done anything to the polygon even though you have rotated it 72 degrees.
The way you did 13 is exactly how it should be done.
<span>Its given that the sum of the values of total angles of a triangle is 180. It is also given that angles a and b are equal and that value of c is 72. Thus we get the following equation:
a + b + c = 180
a + a + 72 = 180 since a = b
2a = 108
a = b = 54 and c = 72</span>
