Find the sum of the interior angles of a 22-gon. Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚. Each angle of a regular polygon measures 157.5˚.

8 0

2 years ago

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In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А

wel

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

$m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))$

$m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)$

$m\angle BFE=\dfrac{1}{2}(124^\circ)$

$m\angle BFE=62^\circ$

Therefore, the measure of angle BFE is 62°.

6 0

2 years ago

Solve the question <br>2-(-4)+(-1)-(-3)

IgorLugansk [536]

Ugh this hurts my head just looking at it, but I'll show the process.

PEMDAS

Addition before subtraction (Not that it matters here).

2 - (-4) is the same as adding 4. This equals 6.

-1 - (-3) is the same as adding 3. This equals 2.

Adding these two expressions together equals 8.

Showing my work...

2 - (-4) + (-1) - (-3)

6 + (-1) - (-3)

6 + 2

8

3 0

3 years ago