Answer:
i think its centroid not sure though.
Step-by-step explanation:
Answer:
27 degrees
Step-by-step explanation:
The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.
The longer, more drawn out answer goes as follows. See the image to understand the notation I use:
- AOE + BOD + BOA + DOE = 360
- AOE + BOD = 90 + 36 = 126
- BOA + DOE = 360 - AOE - BOD = 234
- Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
- Likewise, OBA = (180 - BOA) / 2
- Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
- Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
- The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
- Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
- Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
- As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
- Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27
Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.
4- 7x = 23- 5
4 - 7x = 18
-4 = -4
-7x = 14
/-7 = /-7
X = -2
3x = -6
Answer:
<u>a = 13</u>
Step-by-step explanation:
We should know that: The sum of the interior angles of the triangle = 180°
Given the measure of the angles: (6a - 2) , (5a - 13) and (5a - 13)
So,
(6a - 2) + (5a - 13) + (5a - 13) = 180°
16 a - 28= 180 ⇒ Add 28 to both sides
16 a = 180 + 28 = 208 ⇒ Divide both sides by 16
a = 208/16 = 13
Answer:
there should only be two points at 6 and 4
Step-by-step explanation:
[x-5]=1
x-5=+ 1 or -1
x-5= 1
x-5= -1
x=6 or 4