Answer:
The answer to your question is below
Step-by-step explanation:
14) sin Ф = 32/33
sin Ф = 0.9697
Ф = 75.86°
15) sin Ф = 16/36
sin Ф = 0.444
Ф = 26.39°
16) sin Ф = 29/36
sin Ф = 0.806
Ф = 53.66°
17) cos Ф = 11/34
cos Ф = 0.324
Ф = 71.12°
18) sin Ф = 21/40
sin Ф = 0.525
Ф = 31.67°
19) cos Ф = 6/14
cos Ф = 0.429
Ф = 64.62°
20) cos Ф = 38/39
cos Ф = 0.974
Ф = 13°
#1: The sum of q and 5
#2: Twelve times x
Please do as many as you can by yourself and ask questions about those that are hard for you.
When
|a|=b
assume
a=b and -a=b
so
4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1
7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6
-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8
m=6 and 8
Answer:
-7-a
Step-by-step explanation:
2a-3a +5-12
-a - 7
or -7-a
Answer: (12) ∠1 = 20° (13) ∠2 = 50° (14) ∠3 = 15° (15) UV = 80° (16) AB = 40° (17) ABC <em>or</em> 180° - CD (18) BC - 140° (19) ABC = 150°
<u>Step-by-step explanation:</u>
12)
(UV - ST) = ∠1
(80 - 40) = ∠1
(40) = ∠1
20 = ∠1
13)
(UV + ST) = ∠2
(70 + 30) = ∠2
(100) = ∠2
50 = ∠2
14)
(VB - BS) = ∠3
(60 - 30) = ∠3
(30) = ∠3
15 = ∠3
15)
(UV - ST) = ∠1
(UV - 20) = 30
UV - 20 = 60
UV = 80
16) ∠1 = arc AB
∠1 = 40
arc AB = 40
17) arc AB + arc BC = arc AC
= 180 = arc CD
18) ∠1 + ∠2 + ∠3 = 180
20 + ∠2 + 20 = 180
∠2 + 40 = 180
∠2 = 140
19) ∠1 + ∠ 2 = arc ABC
∠1 + ∠2 + ∠3 = 180
arc ABC + 30 = 180
arc ABC = 150