Diagram for part A and part C is attached herewith.
Solving for part B:-
Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that it bisects AC into two equal parts AB and BC. Now we have two triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property), and BA=BC (given in the question). Using SSS congruency of triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude ∡OBA=∡OBC (=90°). Hence OB⊥AC i.e. OB is perpendicular to AC.
Solving for part D:-
Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that AB is perpendicular to AC i.e. ∡B=90°. Now we have two Right triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property). Using HL congruency of right triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude BA=BC. Hence OB bisects AC into AB=BC.
Answer:
He needs to buy 120 packages of dod food.
Step-by-step explanation:
b - bird food
h - hamster food
d - dog food
c - cat food
b + h + d + c = 600
b = h (bird food is the <em>same</em> as hamster food)
b = 4 d (bird food is <em>4 times</em> dod food)
c = d/2 (cat food is <em>half</em> dog food)
Total of packages ordered.
b + b + d + c = 600
4d + 4d + d + d/2 = 600
4 d + 4 d + d + d = 600. 2
10 d = 1.200
d= 120 .........the amount of dog food packages.