Cos 52 = 0.6157
sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)
if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3
Answer:
1) <DHG = 94 degrees
2) <3 = 29 degrees
3) <1 = 47 degrees
4) <5 = 78 degrees
5) <4 = 60 degrees
Step-by-step explanation:
1). 2a -3 = 4a -10 (vertical angles)
- 3 + 10 = 4a - 2a
7 = 2a
a = 7/2
<5 = 2(7/2) - 3 = 4 degrees and <3 = 4(7/2) - 10 = 4 degrees
<DHG = 90+4 = 94 degrees
2). 4p+5+2p+1 90 (complementary angles)
6p+6 = 90
6p = 90-6
p = 84/6
p = 14
<1 = 61 degrees and <5 = 29 degrees
<3 = 29 degrees
3). 4w - 13 + 2w + 18 = 90 (complementary angles)
6w + 6 =90
6w = 90-6
W = 14
m<BHC = 4(14) - 3 = 53 and m<DHC = 2(14)+19 = 47
<1 = 47 degrees
4). <1 = <4 (vertical angles)
2d+7=3d-15
7+15 = 3d-2d
d = 22
<1 = 2(22)+7=51 and <4 = 3(22)-15=51
<5 = 180 - 102 = 78 degrees
5). 5r + 20 + 3r = 180
8r = 180 - 20
r = 160/8
r = 20
<AHB = (3)(20) = 60
<AHF = 180-60 = 120
<AHG = 120/2 = 60
<AHG = <4 (vertical angles = 60 degrees
Answer would be letter (b)
Answer:
4y+11x+24=0
Step-by-step explanation:
Slope is (7-(-4))/(1-5)=-11/4.
The equation is y-a=m(x-b).
y-5=(-11/4)(x+4)
4y-20=-11x-44, 4y+11x+24=0
Answer:
steve need to buy 4 packages.
Step-by-step explanation:
1 package=10markers. 40 marker= 40/10=4
