Answer:
x=69° y=69°
Step-by-step explanation:
Angle x is an alternate angle so it is equal to the angle above it (69)
Angle y is in a co-interior angle so you do the equation 180-111 which equals 69°
Answer:
6s + 2s - 3s - 6:
5s-6
10t - 4t -6 + 5t:
11t-6
18r + 18r + 9r - 3r:
42r
20 - 4q + 40r - 16:
-4q+40r+4
17st - 16s + t:
17st-16s+t
. 101+101x - x:
101+100x
16a2 - 14a + a2 - 3a:
14 ato the power of 2- 17a
14t + 14t + t:
29t
r + s + rs + s + rs + s:
r+2rs+3s
54 pt - 3p + 4t - 3pt:
51pt-3p+4t
i dont know 11
101c - 5c +4c:
100c
12q - 4 + 10q - 4q +9:
18q+5
21k - 20k + 3k:
4k
181x + 91x - 23x:
249x
Step-by-step explanation:
Answer:
a)
a1 = log(1) = 0 (2⁰ = 1)
a2 = log(2) = 1 (2¹ = 2)
a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849
a4 = log(4) = 2 (2² = 4)
a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322
a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)
a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807
a8 = log(8) = 3 (2³ = 8)
a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )
a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322
b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:
log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that
a1 = 1
a2 = 2
a3 = 3
a4 = 4
a5 = 5
a6 = 6
a7 = 7
a8 = 8
a9 = 9
a10 = 10
I hope this works for you!!
