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gizmo_the_mogwai [7]
3 years ago
5

The figure below shows segments KL and MN which intersect at point P. Segment KM is parallel to segment LN:

Mathematics
2 answers:
kondaur [170]3 years ago
5 0

Answer:

Angle KMP is congruent to angle LNP because they are alternate interior angles.

Step-by-step explanation:

DerKrebs [107]3 years ago
3 0

Answer:

Angle KMP is congruent to angle LNP because they are alternate interior angles.

Step-by-step explanation:

Alternate interior angles are angles inside the parallel lines and on opposite sides of the transversal.

KM and NL are parallel to one another.  KMP and LNP both fall between the parallel lines; this makes them interior.

KL is a transversal for the two parallel lines.  KMP and LNP are on opposite sides of the transversal; this makes them alternate.

Therefore they are alternate interior angles.

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3 years ago
What is 5,782 rounded to the nearest thousand​
olasank [31]

Answer:

6,000

Step-by-step explanation:

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2 years ago
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1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

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  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

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Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
A student says that the measures of coterminal angles are never opposites of each other. Is the student correct?
garri49 [273]

Answer:

Wrong

Step-by-step explanation:

The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.

The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.

4 0
3 years ago
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elixir [45]

Answer:

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Step-by-step explanation:

Divide 84 by 12 (Dozen = 12) and you get 7 which means every egg is for Rs. 7

Divide 117 by 18 and you get 1.39 which means every egg is for Rs. 1.39

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