PLZ HELP ME QUESTION IS IN THE PIC

Mathematics

2 answers:

Sergio039 [100]3 years ago

7 0

Answer:

The Median is 5

Step-by-step explanation:

vesna_86 [32]3 years ago

3 0

Answer:

The median of the data is 5 :)

Step-by-step explanation:

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What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees

Pani-rosa [81]

Sum of interior and exterior angle is 180 so

Interior angle =180−72=108

Now we need to find the no of sides of the polygon= n We know that interior angle of n-sides is given by

(n−2)×180n

We have

(n−2)×180=108n

or

180n−360=108n

or

72n=360

n=5 sides so there are 5 angles each of 108 degrees Sum of the interior angles=108+108+108+108+108=540.....
To find the measure of each exterior angle of a regular polygon, you just divide 360 degrees by the number of sides.

4 0

3 years ago

Read 2 more answers

What is 1 1/2 + 1/4 + 2 2/3?

Pachacha [2.7K]

Answer:

4 5/12.

Step-by-step explanation:

Solve:

1 1/2 + 1/4
= 1/4 + 2 2/3
= 9/12 + 2 8/12
= 3 17/12
= 4 5/12.

Answer is 4 5/12.

4 0

2 years ago

Can someone please give me the answer to the second part of this question? Thank You!

Elena-2011 [213]

Answer:

$\theta=30\textdegree$

Step-by-step explanation:

$(ii)\ \sqrt{3}\tan\ \theta=2\sin \theta\\\\substitute\ \tan\theta=\frac{\sin\theta}{\cos\theta}\\\\\sqrt{3}\frac{\sin\theta}{\cos\theta}=2\sin\theta\\\\Divide\ both\ sides\ by\ \sin\theta.\\\\\sqrt{3}\frac{\sin\theta}{\cos\theta\times \sin\theta}=\frac{2\sin\theta}{\sin\theta}\\\\\frac{\sqrt{3}}{\cos\theta}=\frac{2}{1}\\\\Apply\ cross\ multiplication\\\\2\cos\theta=\sqrt{3}\\\\divide\ both\ sides\ by\ 2\\\\\frac{2\cos\theta}{2}=\frac{\sqrt{3}}{2}\\\\\cos\theta=\frac{\sqrt{3}}{2}\\\\$