The factors of 18 are:
1, 2, 3, 6, 9, 18
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
<span>The common factors are:
1, 2, 3, 6</span>
The ramp when tilted forms a triangle with the ground and
the wall in which it is inclining to.
The height of the top of the ramp from the ground is
equivalent to the length of the side opposite to the angle of inclination.
Therefore we can use the sine function in this case.
Let’s say,
Y = height of the top of the ramp from the ground
sin 45 = Y / 100
<span>Y = 85.09 ft = 85 ft</span>
f(x) = g(x)
-3x+4 = g(x) ... f(x) replaced with -3x+4
-3x+4 = 2 .... g(x) replaced with 2
-3x+4-4 = 2-4 .... subtract 4 from both sides
-3x = -2
-3x/(-3) = -2/(-3) .... divide both sides by -3
x = 2/3
<h3>Answer: 2/3</h3>
WX=XY, VX=XZ Given
Angle WXV = Angle YXZ Vertical Angles theorem
Triangle VXW = Triangle YXZ Side angle Side postulate
WVX = YZX because corresponding parts of congruent triangles are congruent