Answer:
slope = -3/4
using the formula
y -y1 = m(x -x1)
y -1 = -3/4(x -(-8))
y -1 = -3/4(x +8)
cross multiply
4(y -1) = -3(x +8)
4y -4 = -3x -24
4y = -3x -24 +4
4y = -3x -20
divide both sides by 4
y = -3/4 x -5 (equation of the line)
Answer:
71
Step-by-step explanation:
vertical sides are congruent
x+30=101
x=71
First convert feet to inches:
18 ft × (12in/1ft)= 216 in
15 ft × (12 in/1ft)= 180 in
divide each side of the room by 9 inches to get number of white tiles per a wall
wall 1(18ft): 216in/9in= 24 white tiles
wall 2(15ft): 180in/9in= 20 white tiles
wall 3(18ft): 216in/9in= 24 white tiles
wall 4(15ft): 180in/9in= 20 white tiles
Lastly, add up all the white tiles and subtract 4 (the tiles that we counted twice because they were the corner tiles and touched both walls)
24+20+24+20-4= 84 white tiles total
a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.
