Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = 
= 
= 
= - 
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
Answer:
84/105= 8/10=4/5
Step-by-step explanation:
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Answer:
100
Step-by-step explanation:
hope this helped
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Answer:
-10.76
Step-by-step explanation:
Let's solve your equation step-by-step.
4=314(1.5x)
Step 1: Flip the equation.
314(1.5x)=4
Step 2: Divide both sides by 314.
314(1.5x)/314
=
4/314
1.5x=2/157
Step 3: Solve Exponent.
1.5x=2/157
log(1.5x)=log(2/157)(Take log of both sides)
x*(log(1.5))=log(2/157)
x=
log(2/157)
log(1.5)
x=−10.760725
Answer:
x=−10.760725
