3 years ago

A regular polygon has an exterior angle of 7.5 what is the sum of the interior angle

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

540

Step-by-step explanation:

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AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of

defon

Answer:

Part 1) $m\angle AFE=55^o$

Part 2) $m\angle EFB=125^o$

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)

$m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)$

substitute the given values

$m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o$

Part 2) what is the measure of angle EFB?

we know that

$m\angle AFE+m\angle EFB=180^o$ ---> by supplementary angles (form a linear pair)

substitute the given value

$55^o+m\angle EFB=180^o$

$m\angle EFB=180^o-55^o=125^o$

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3 years ago

Evaluate the expression. Will choose brainliest

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Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

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The answer is 3. 4 because 4 doesn’t have a variable :)

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Write the equation – 2x2 + 1 = 5x in standard form

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$(*)\ (a-b)^2=a^2-2ab+b^2$

$x^2-20x=17\\\\x^2-2\cdot x\cdot10=17\ \ \ |+10^2\\\\\underbrace{x^2-2\cdot x\cdot10+10^2}_{(*)}=17+10^2\\\\(x-10)^2=117$

Answer: 10² = 100

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3 years ago