Answer:
B
Step-by-step explanation:
Firstly the unfilled circle means that it is not equal to
If you read the scale the unfilled circle is at -1 and the arrow is pointing left.
This means that x is smaller than -1 or -1 is greater than x read in the form x<-1
The filled circle means x can be equal to, in this case, 4. The arrow is pointing right so x is greater or equal to 4
x≥4
Therefore the answer is b
Hope this helps
Simplify
10x - 4x = 36
6x = 36
Divide by 6
Solution: x = 6
The angles in a triangle must add up to equal 180. When it gives you angle A and angle B, you add them, then subtract it from 180, which will give you the angle C.
65 + 15 = 80
180 - 80 = 100 = Angle C.
It says to list them from smallest to greatest.
<B = 15, <A = 65, <C = 100
Answer is 8671/6 which is the third choice
===================================
Work Shown:
Find the first term of the sequence by plugging in n = 1
a_n = (5/6)*n + 1/3
a_1 = (5/6)*1 + 1/3 replace n with 1
a_1 = 5/6 + 1/3
a_1 = 5/6 + 2/6
a_1 = 7/6
Repeat for n = 58 to get the 58th term
a_n = (5/6)*n + 1/3
a_58 = (5/6)*58 + 1/3 replace n with 58
a_58 = (5/6)*(58/1) + 1/3
a_58 = (5*58)/(6*1) + 1/3
a_58 = 290/6 + 1/3
a_58 = 145/3 + 1/3
a_58 = 146/3
Now we can use the s_n formula below with n = 58
s_n = (n/2)*(a_1 + a_n)
s_58 = (58/2)*(a_1 + a_58) replace n with 58
s_58 = (58/2)*(7/6 + a_58) replace a_1 with 7/6
s_58 = (58/2)*(7/6 + 146/3) replace a_58 with 146/3
s_58 = (58/2)*(7/6 + 292/6)
s_58 = (58/2)*(299/6)
s_58 = (58*299)/(2*6)
s_58 = 17342/12
s_58 = 8671/6
4.5 is equal to k. This is the answer .
