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2 years ago

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180

Mathematics

1 answer:

Naya [18.7K]2 years ago

6 0

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

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3 years ago

In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Sup

posledela

The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

<h3>What is the probability that all 4 computers with the critical file fail in this incident? </h3>

Generally, is mathematically given as

$H \rightarrow(n, m)$

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

$\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$$

$\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}$

In conclusion, P(x=4)=0.00085

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180​

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180