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mr Goodwill [35]
2 years ago
12

A pet store sold a whopping amount of 15 pets in a day. The pet store sold only dogs and cats. Each dog was marketed for $150 wh

ile cats were sold at a price of $120. If the store made a profit of $2070, how many dogs were sold? How many cats were sold? Write and solve a system of equations to find out the problem using the following methods: Elimination, substitution, and graphing. Check your answer.
Mathematics
1 answer:
Ivenika [448]2 years ago
7 0
9 dogs 6 cats is the answer 
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<u>Question 4</u>

1) \overline{BD} bisects \angle ABC, \overline{EF} \perp \overline{AB}, and \overline{EG} \perp \overline{BC} (given)

2) \angle FBE \cong \angle GBE (an angle bisector splits an angle into two congruent parts)

3) \angle BFE and \angle BGE are right angles (perpendicular lines form right angles)

4) \triangle BFE and \triangle BGE are right triangles (a triangle with a right angle is a right triangle)

5) \overline{BE} \cong \overline{BE} (reflexive property)

6) \triangle BFE \cong \triangle BGE (HA)

<u>Question 5</u>

1) \angle AXO and \angle BYO are right angles, \angle A \cong \angle B, O is the midpoint of \overline{AB} (given)

2) \triangle AXO and \triangle BYO are right triangles (a triangle with a right angle is a right triangle)

3) \overline{AO} \cong \overline{OB} (a midpoint splits a segment into two congruent parts)

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5) \overline{OX} \cong  \overline{OY} (CPCTC)

<u>Question 6</u>

1) \angle B and \angle D are right angles, \overline{AC} bisects \angle BAD (given)

2) \overline{AC} \cong \overline{AC} (reflexive property)

3) \angle BAC \cong \angle CAD (an angle bisector splits an angle into two congruent parts)

4) \triangle BAC and \triangle CAD are right triangles (a triangle with a right angle is a right triangle)

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<u>Question 7</u>

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Answer:

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Step-by-step explanation:

Half of the bottom side measures 4.

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