Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)
Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:
S=90
0
+90
0
+(n−2)144
0
.........(2)
Therefore setting (2) equal to (1) we get
(n−2)180
0
=90
0
+90
0
+(n−2)144
0
⇒(n−2)180
0
−(n−2)144
0
=180
0
⇒(n−2)(180
0
−144
0
)=180
0
⇒(n−2)(36
0
)=180
0
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
Answer:
Your simplified fraction would be 12 6/7 so I’d say *C* because that’s the closest to the simplified fraction
Step-by-step explanation:
im just explain
Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
<u>an = -2n +3</u>
-2(1) +3 = 1 . . . . not -2
<u>an = -2n +7</u>
-2(1) +7 = 5 . . . . not -2
<u>an = 5n +3</u>
5(1) +3 = 8 . . . . not -2
<u>an = 5n -7</u>
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
Answer:
30sequences
Step-by-step explanation:
Using nx (n-1)
And
n is the number of ternary digits in the number.
So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.
That is 6(6-1)= 30
log a + log b=log (a*b)
log 5 + log 2=log (5*2)=log 10
loga a=1
Therefore:
log 10=1
Answer: log 5+ log 2=log 10=1
