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Zepler [3.9K]
3 years ago
13

Mode of this data set 15,18,22,32,50,50.55,56,81,81?

Mathematics
2 answers:
Elden [556K]3 years ago
6 0

Answer:

50 and 81

Step-by-step explanation:

Kobotan [32]3 years ago
3 0

Answer:

Mode is 81

Step-by-step explanation:

The mode is the element that occurs most in the data set. In this case,  81  occurs  2  times.

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On circle O below, the measure of FJ is 84º . The measure of GH is 76°.<br> What is the measure of
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Given:

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Measure of arc GH = 76°

To find:

The measure of angle HKJ.

Solution:

The image of the question is attached below.

Angles inside the circle theorem:

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.

$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r  \ G H)+m(a r \  F J))

$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)

$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)

\Rightarrow m \angle G K H=80^{\circ}

Sum of the adjacent angles in a straight line is 180°.

⇒ m∠GKH + m∠HKJ = 180°

⇒ 80° + m∠HKJ = 180°

Subtract 80° from both sides.

⇒ 80° + m∠HKJ - 80° = 180° - 80°

⇒ m∠HKJ = 100°

The measure of ∠HKJ is 100°.

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