Answer:
3x+54°=180°[ by linear pair angle]
3x=180°-54
3x=126
x=126/3
x=42
jlm=3x
jLm=3×42=126°
Ben - 3/8
RV - 1/8
Total = 80
Ben = 3/8 ( 80 ) = ( 3 ) ( 10 ) = 30 cars
Rv = ( 1 / 8 ) ( 80 ) = ( 10 ) = 10 cars
Ben's have sold 20 cars more than RV
Hope helps!
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12
8(1+5x) + 5 = 13 + 5x
multiply the bracket by 8
(8)(1)=8
(8)(5x)=40x
8+40x+5=13+5x
8+5+40x=13+5x
13+40x=13+5x
move 5x to the other side
sign changes from +5x to -5x
13+40x-5x=13+5x-5x ( combine like terms)
13+35x=13
move 13 to the right side
13-13+35x=13-13
35x=0
divide both sides by 35 to get x by itself
35x/35=0/35
Answer:
x=0
