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2 years ago

[100 POINTS] The image shows 2 triangles.

Mathematics

1 answer:

Talja [164]2 years ago

3 0

1. HK is a perpendicular bisector

2. LP

3. HF is an angle bisector.

4. HK shows the distance from point to a side of the triangle.

<h3>What is an Angle Bisector and a Perpendicular Bisector?</h3>

Angle bisector is a segment that divides an angle into two congruent parts.

A perpendicular bisector is a line segment that forms a right angle at the point it intersects another segment.

1. A perpendicular bisector is: HK

2. A vertex of the triangle is P, so, LP shows the distance from point L to vertex P of the triangle.

3. Angle F is divided into two equal parts by segment HF. HF is an angle bisector.

4. A side of the triangle is GF. HK shows the distance from point to side GF.

Learn more about the angle bisector and perpendicular bisector on:

brainly.com/question/11006922

#SPJ1

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<h3>Answer:</h3>

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__________________________________________________________

<h3>Step-by-step explanation:</h3>

We are given the inequality:

|2x - 2| ≥ 6

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Since 2x-2 is in modulus:

|2x-2| = -(2x-2) OR 2x-2

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Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6

2x ≥ 8 [adding 2 on both sides]

x ≥ 4 [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6

2 ≥ 6 + 2x [adding 2x on both the sides]

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This is the solution of the given inequality if: 2x-2 < 0

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Solution of the given Inequality:

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