Let it be x
Using basic proportionality theorem




Answer:
θ ≈ 40°
Step-by-step explanation:
Since, sinθ = 
cosθ = 
tanθ = 
In the picture attached,
Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.
tanθ = 
θ = 
θ = 39.56
θ ≈ 40°
(5 + x)/6 = -1
Multiply both sides by 6.
5 + x = -6
Subtract 5 from both sides.
x = -11
The 6th value in a sequence is -26.
<u>Step-by-step explanation</u>:
- The formula for nth term is a sequence ⇒ an = -2n-14
- To find 6th value in a sequence, substitute n=6 in the formula.
an = -2n-14
⇒ a6 = -2(6)-14
⇒ a6 = -12-14
⇒ a6 = -26
∴ The 6th value in a sequence is -26.