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:
t=-6
Step-by-step explanation:
-4t-4=20 (move constant to the right)
-4t=20+4 (Calculate 20 + 4)
-4t= 24 (then divide 24 on both sides)
The radius of the circle is 1km
Answer:

Step-by-step explanation:
You can use the center of a circle to write an equation in vertex form. Vertex form is
and the vertex is (h,k). Notice (h,k) are the opposite sign in the equation then as the point.
Here h = -4 and k = 3. Substitute these values and the value r = 5.

Answer:
(3,2)
Step-by-step explanation:
run before you jump