x=3y
Switch sides
3y=X
Divide 3 both sides to get
T= x/3
Answer:
x=-9, y=5. (-9, 5).
Step-by-step explanation:
x-3y=-24
5x+8y=-5
--------------
x=-24+3y
5(-24+3y)+8y=-5
-120+15y+8y=-5
-120+23y=-5
23y=-5-(-120)
23y=-5+120
23y=115
y=115/23
y=5
x-3(5)=-24
x-15=-24
x=-24+15
x=-9
Answer:
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)
Answer:
Step-by-step explanation:
Given
Required
Find XY
Represent BC and XY as a ratio;
Recall that:
Equate both ratios;
Convert to fractions
Cross Multiply
Divide through by 3
Hence:
