The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
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<h2>Explanation:</h2><h2></h2>
The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:
We also know that each week 6 teams register to participate, so:
As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:
In conclusion, <em>the linear model (first graph below) is the one that bests represents the relationship between time and the number of teams registered.</em>
Since ∆AFB is similar to ∆ABC.
- < F = < B (corresponding angle)
- < G = < C (corresponding angle)
- < A = common.
<u>In </u><u>∆</u><u>A</u><u>BC,</u>
⇛< A + < B + < C = 180°
⇛37° + 65° + < C = 180°
⇛102° + < C = 180°
⇛< C = 78°
We know that, < AGF / < G = < C
So, Measure of angle < AGF = <u>7</u><u>8</u><u>°</u><u> </u><u>(</u><u>ans)</u>