Hello,
The length from Memphis to Alaska is approximately 3,946 miles.
Hope this helps!
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 5/3, so the parallel line's slope is also 5/3
y = 5/3x + b
To find "b", plug in the point (3,6) into the equation
y = 5/3x + b
6 = 5/3(3) + b
6 = 5 + b
1 = b
y = 5/3x + 1
Let the measure of an angle be 'x'
Then the reflex angle will be measured by the formula (360-x)
x +(360-x) = 360
tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>
Answer:
m∠k = 60°
Step-by-step explanation:
- an exterior angle of a triangle is equal to the sum of the opposite interior angles
4x + 2 + 6x - 12 = 130
to find x:
4x + 2 + 6x - 12 = 130
4x + 6x = 130 - 2 + 12
10x = 120
x = 120/10
x = 12
apply the value of x to find the measure of angle K:
k = 6*12 - 12 = 60
