Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.
(The side adjacent to angle C ) divided by (hypotenuse)
is the cosine of angle C .
(adjacent) / (10 inches) = cos(40 degrees)
Multiply each side by (10 inches):
Adjacent side = (10 inches) x cos(40) =
(10 inches) x 0.766 =
7.66 inches (rounded)
On her map 1 inch is equal to 20 miles.
5x=100
divide both sides by 5
x=20
5 is for the 5 inches.
x is for the unknown.
100 is the 100 miles between the cities.
So the scale 1:20
Answer: 2b-21a
Step-by-step explanation:
Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
y - 2 = -1/2(x - 6)
2(y - 2) = -(x - 6)
2y - 4 = -x + 6
x + 2y = 6 + 4
x + 2y = 10
R-9s=2 add 9s to both sides
r=2+9s making 3r-3s=-10 become:
3(2+9s)-3s=-10 perform indicated multiplication on left side
6+27s-3s=-10 combine like terms on left side
6+24s=-10 subtract 6 from both sides
24s=-16 divide both sides by 24
s=-16/24
s=-2/3, making r-9s=2 become:
r-9(-2/3)=2 perform indicated multiplication on left side
r+6=2 subtract 6 from both sides
r=-4
So s= -2/3 and r= -4
