Given the triangle below. find the angle 0. Give your answer in degrees rounded to the nearest tenth. Do not include the degree symbol in your answer.

Measure of angle θ = 38.7°

Step-by-step explanation:

In the figure attached,

Given triangle has the measure of two legs = 5 units and 4 units

Measure of one angle = θ

By applying tangent rule in the given triangle,

tanθ =

        =

        = 0.8

     θ =

     θ = 38.66

        ≈ 38.7°

Therefore, measure of angle θ is 38.7°.

option: d is correct

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for