The durations in seconds of their first three flights can be represented by consecutive odd integers, such that the product of the first and third was equal to 4 led than five times the second. find the durations of their first three flights.

Step-by-step explanation:

The first important detail is ''consecutive odd integers'', which can be express as:

Then, we apply this definitions to the conventional language to convert it to math language:

The product of the first and third:

4 less than five times the second:

So, the expression would be

If we solve this equation, will result: ; which is an second grade equation.

To solve it, we need to find two number that their multiplication results in 6, but their subtract results in 1. Being those numbers, 3 and 2.

So, results are

But, time cannot be negative, so, we only take the first value.

If we substituted in the initial expression of the odd integers, we will have:

Hence, the numbers are 3, 5 and 7.

all teachers

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq