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Burka [1]
3 years ago
13

What is the rule for the reflection ?

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

\large\boxed{r_{y-axis}\to(-x,\ y)}

Step-by-step explanation:

Look at the picture.

A(-2, 1) → A'(2, 1)

B(-4, 1) → B'(4, 1)

(x, y) → (-x, y)

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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°.

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