Based on the information marked in the diagram, triangle PQR and triangle STU must be congruent
1 answer:
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14 - 2x = 4a - 16
First, add 2a to both sides. / Your problem should look like:
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like:
Third, add 16 to both sides. / Your problem should look like:
Fourth, add 14 + 16 to get 30. / Your problem should look like:
Fifth, divide both sides by 6. / Your problem should look like:
Sixth, 6 goes into 5 to get 30, so simplify
to 5. / Your problem should look like: 
Seventh, switch your sides. / Your problem should look like:
Answer: a = 5
First, add 2a to both sides. / Your problem should look like:
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like:
Third, add 16 to both sides. / Your problem should look like:
Fourth, add 14 + 16 to get 30. / Your problem should look like:
Fifth, divide both sides by 6. / Your problem should look like:
Sixth, 6 goes into 5 to get 30, so simplify
Seventh, switch your sides. / Your problem should look like:
Answer: a = 5
Answer:
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Step-by-step explanation:
Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.
Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.
Amounts:
- in 49¢:
cents;
- in 20¢:
cents;
- in 3¢:
cents.
Total amount:
- $23.55.
Hence,
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.