Answers 6.7 Start Thinking!
Technology Connection
For use before Lesson 6.7
1. 273
2. 10
3. 27
Sample answer: Some factors you must consider are interest rate or if the bank charges a fee for a minimum balance.
4. 67.5
5. 300
6. 700
7. 15.5
8. 400
9. 5
6.7 Warm Up
10. $5,200
For use before Lesson 6.7
1. a. $45
b. $795
3. a. $280 5. a. $22
2. a. $36
b. $1680 b. $572
b. $336
4. a. $189
b. $789
6. a. $21
b. $1221
b. $870
6.7 Practice A 1. a. $30
b. $230
2. a. $120
3. a. $80
b. $1680
4. a. $30
6. 7%
7. 3 years
5. 2%
9. $367.50 10. $1400
11. $4200
13. a. $300
b. $3300
14. a. $3360
b. $140
15. a. $1296
b. $1399.68
b. $530 8. 1.5 years 12. 18 years
Chapter 7 7.1 Start Thinking! For use before Activity 7.1
An acute angle is an angle whose measure is less than 90°. An obtuse angle is an angle whose measure is greater than 90° and less than 180°. Sample answer: Acute can mean sharp and obtuse means dull. An acute angle has a sharp point and an obtuse angle does not. 7.1 Warm Up For use before Activity 7.1
1. right
2. obtuse
3. acute
4. straight
7.1 Start Thinking!
c. credit card
For use before Lesson 7.1
Sample answer:
6.7 Practice B 1. a. $332.80
Adjacent angles are angles that are next to each other. They share a common side and have the same vertex.
b. $2932.80
2. a. $1593.75
b. $76,593.75
3. 4.75%
4. 6.5%
5. 6 months 6. 3 years
7. $35,000
8. $7800
9. 9%
11. a. $1208.10 d. $28.11
b. $1220.18
10. 10%
7.1 Warm Up For use before Lesson 7.1
1. ∠ ABC and ∠ EBD measure 50°.
∠CBD and ∠ ABE measure 130°.
c. $1228.11
e. 2.3%
12. 8%
6.7 Enrichment and Extension
2. ∠CBD and ∠ ABE
7.1 Practice A 1. Sample answer: adjacent: ∠ ABE and ∠ EBD ;
∠ ABC and ∠CBD ; vertical: ∠ ABE and ∠CBD ; ∠ ABC and ∠ EBD
1. If she gets $500 off, the total cost would be
$21,320.57. If she decreases the interest rate, the total cost would be $21,519.48. It would be better to get $500 off.
2. Sample answer: adjacent: ∠ NHG and ∠GHI ;
∠ JHK and ∠ KHL ; vertical: ∠GHI and ∠ KHL ;
2. The total cost would be $22,278.63. When interest is
∠ IHJ and ∠ NHL
compounded more often, the total cost increases, which means that the lender is making more money. 3. Answer should include, but is not limited to: The
student must include the car’s original price, the interest rate, how often the interest is compounded, the total cost of the loan, and the monthly payment. 6.7 Puzzle Time
3. adjacent; 148
4. vertical; 142
5. adjacent; 18
6. vertical; 26
7. 40°
40°
ARE YOU ASLEEP Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Red Answers
A35
Answers 8.
9.
8.
15°
15°
120°
75°
75°
120°
9. 150° 150°
10. a. 10. Sample answer: 1 3
4
2 5
11. 75° b.
7.1 Enrichment and Extension 1. Angle A is an acute angle. 2 – 5. B
c.
G
A
C
6. Angle BAC measures 60°. Each angle formed from
the bisection measures 30°.
11. ∠1 = 48°,
∠ 2 = 132°,
7.1 Puzzle Time
∠3 = 48°
A SNEAKER
7.1 Practice B
7.2 Start Thinking!
1. Sample answer: adjacent: ∠ IED and ∠ DEF ;
∠ FEG and ∠GEH ; vertical: ∠ DEF and ∠GEH ; ∠ FEG and ∠ DEH 2. Sample answer: adjacent: ∠ SUT and ∠ SUZ ;
∠ XUY and ∠WUX ; vertical: ∠ SUZ and ∠WUX ; ∠YUZ and ∠VUW 3. adjacent; 123
4. adjacent; 10
5. adjacent; 45
6. vertical; 30
For use before Activity 7.2
Sample answer: Two angles are adjacent angles when they share common sides and have the same vertex. Two angles are vertical angles when they are opposite angles formed by the intersection of two lines. Vertical angles are congruent angles, meaning they have the same measure. 7.2 Warm Up For use before Activity 7.2
1.
2. 120°
7.
45°
45°
120° 100° 100°
3.
160°
4. 30°
30°
160°
A36 Big Ideas Math Red Answers
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