Answer:
1. Which angles are adjacent.
CBX and FBC
Step-by-step explanation:
Okay so an adjacent angle is two angles with a common side. This means angles CBX and FBC are adjacent because they have the common side of "BC/CB"
Answer
2. Find the sum of the interior angles of a nonagon
1,260
Step-by-step explanation:
A nonagon is a 9 sided polygon with angles of 140. It wants the sum of all the angles. Since it has 9 sides, it has 9 angles. Now you can add 140, 9 times, or do 140 x 9. This gets you 1,260.
Answer
3. The measure of angle 3 is 101. find the measure of angle 4.
79
Step-by-step explanation.
Okay so both angles are against the same intersecting line, this means their sum must be 180. All we have to do here is subtract 180 and 101. this gets us 79.
Answer
4. Find the measure of each interior angle of a regular polygon with 12 sides.
1800
Step-by-step explanation.
Okay so a 12 sided regular polygon is a dodecagon. This has 12 angles with the degree of 150. This means 150 x 12 just like the 2nd question about nonagons. So 150 x 12 is 1800
Now that i've showed you how to do the first 4 you can apply the rest of the information on your own for 5 and the rest of the test.
The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
Step-by-step explanation:
5. answer ➡D
6 . answer ➡A
8 . answer ➡C
Answer:
Step-by-step explanation:
1. Find the Greatest Common Factor of the numerator and denominator.
The prime factors of 35 are <u>5</u>, 7, 35
The prime factors of 60 are 2, 3, 4, <u>5</u>, 6, 10, 12, 15, 20, 30, 60
The only common factor of 35 and 60 is 5.
2. Divide the numerator and denominator by the Greatest Common Factor.
Triangle = 3, Square = -1, Star = 5
