Given: Prove: (1) (3) 1. (6), (9) (10) 2. 3. 4. 21 and 22 are complementary 21 is acute 22 is acute Statements 21 and 22 are complementary m/1 + m/2 = 90 21 is acute Where m/1 = 2, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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*28. In the proof below, provide the missing reasons.
21 and 22 are complementary
21 is acute
22 is acute
Given:
Prove:
(1)
(3)
(2)
(5)
(4)
(7)
(7),
(8)
(6),
(9)
(10)
1.
2.
3.
4.
9.
Statements
5.
6.
7.
-x<0<90- x
8. 90x90 < 180
0 < 90 x 90
21 and 22 are
complementary
2
m/1+ m/2 = 90
21 is acute
Where m/1 = x,
0 < x < 90
x+m/2 = 90
m/2= 90 x
10. 0m2 < 90
11. 22 is acute
PROOF
Exercises 29, 30
3
B
Reasons
1. ?
2. ?
3.
4.
?
?
5. ?
6. ?
7. ?
x 8. ?
9. ?
10. ?
11. ?
Transcribed Image Text:*28. In the proof below, provide the missing reasons. 21 and 22 are complementary 21 is acute 22 is acute Given: Prove: (1) (3) (2) (5) (4) (7) (7), (8) (6), (9) (10) 1. 2. 3. 4. 9. Statements 5. 6. 7. -x<0<90- x 8. 90x90 < 180 0 < 90 x 90 21 and 22 are complementary 2 m/1+ m/2 = 90 21 is acute Where m/1 = x, 0 < x < 90 x+m/2 = 90 m/2= 90 x 10. 0m2 < 90 11. 22 is acute PROOF Exercises 29, 30 3 B Reasons 1. ? 2. ? 3. 4. ? ? 5. ? 6. ? 7. ? x 8. ? 9. ? 10. ? 11. ?
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