Answer:
Option (1)
Step-by-step explanation:
By using triangle sum theorem in the given triangle,
(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°
(5x + 11x + 3x) - (7 + 4 - 1) = 180
19x - 10 = 180
19x = 190
x = 10
Therefore, (3x + 1)° = 30 + 1
= 30°
(11x - 4)° = 110 - 4
= 106°
(5x - 7)° = 43°
Therefore, Option (1) will be the correct option.
Answer:
Step-by-step explanation:
Replace x with -5
2(-5)+7
-10+7
-3
Answer:
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Step-by-step explanation:
The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>
