Given: XZ bisects ZYXW
and ZYZW
Prove: AXYZ 2 AXWZ

Step-by-step explanation:

Top Problem:

Reason:

1. Given

2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)

3. Vertical angles are congruent

4. SAS (Side ZP≅XP Angle ZPY ≅ WPX  Side WP≅YP)

Bottom Problem

Reason:

1. Given

2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)

3. Definition of angle bisector

4. Reflexive Property ( a line segment is congruent with itself)

5. ASA (Angle Side Angle Theorem of Congruency)

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step-by-step explanation:

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

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