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Svet_ta [14]
3 years ago
5

In the figure, m and n are rays. Which statements are true? Select each correct answer.

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
A is correct because 1 and 3 are vertical angles.

B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.

C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.

D is correct because 3 is an exterior angle.  Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.

In review, A, B, and D are correct.

I hope this helps you =)
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PLEASE PLEASE PLEASE ANSWER THIS.​
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Hi there!

\large\boxed{53) \text{ } KL = 31}\\\\\large\boxed{54) \text{ } { } DC = 3}

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The altitude of a triangle is always perpendicular to the base, therefore:

5x° must equal 90°.

Solve for x:

5x = 90

5x / 5 = 90 / 5   ----> x = 18

KL is equal to  2x - 5, so plug the value of x into the equation:

KL = 2(18) - 5

KL = 36 - 5   ---> KL = 31

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Set both equations equal to each other:

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Subtract 2x from both sides:

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Plug in the value of x into the equation for DC:

2(1) + 1 = 3.

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