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2 years ago

Write a 2 column proof showing segment ML is congruent to Segment OL.

Mathematics

1 answer:

Allisa [31]2 years ago

6 0

The statements and Reasons correspond to each other by the numbers listed.

Let C = congruent in place of the congruent symbol. I don't have it on my keyboard.

Statements

1. Side MN C Side ON.

2. LN is C to LN.

3. Angle LNM is C to angle ONL

4. Angle NML is C to angle NOL

5. ML is C to OL

Reasons

1. Given

2. Reflexive Property

3. Definition of angle bisector

4. SAS Postulate

5. Side NL cuts MO in half

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3 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

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Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

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Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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