Find the measure of an exterior angle of a decagon

1 answer:

6 0

$\bf \textit{sum of all exterior angles in a polygon}\\\\n\theta =360~~\begin{cases}n=\textit{number of}\\\qquad sides\\\theta =angle~in\\\qquad degrees\\[-0.5em]\hrulefill\\n=10\end{cases}\implies 10\theta =360\implies \theta =\cfrac{360}{10}\implies n=36$

You might be interested in

MATHEMATICS: A boy leaves home at 09:15 hours and arrives at 10:05 hours. If he travels nonstop at an average speed of 6kmh ,wha

love history [14]

Answer:

5 km.

Step-by-step explanation:

We have to calculate the distance if we apply the speed formula that would be the distance in a given time:

v = d / t

therefore, if we solve for distance it would be:

d = v * t

Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:

50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:

d = 6 * 0.8333

d = 5

In other words, the distance between the school and the house is 5 km.

5 0

3 years ago

Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 15,044. what are the offi

AlladinOne [14]

Let one of the number be x
The other number will be x + 2

x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523

The office number is 7521 and 7523

6 0

3 years ago

Which statements are true about the graph of the function f(x) = 6x – 4 + x2?

kaheart [24]

Write the function as
f(x) = x² + 6x - 4

Note that
x² + 6x = (x + 3)² - 9

Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13

The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.

Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)