The solution would be ... m = <span>√2 - 48 over 16. Have a good day :)</span>
The perimeter of an equilateral triangle is just 3s as all the sides are, well, equal :) so
P=3s and we are told that P=24.6 so
3s=24.6
s=8.2 cm

- Simplify ⇨ 19m + 14 - 3 (3m + 7)


Use the distributive property to multiply -3 by 3m+7.

Combine 19m and -9m to get 10m.

Subtract 21 from -14 to get -35.

We breakdown the components of the distances.
(1) 90 miles west.
x - component = -90 miles
y - component = 0 miles
(2) 80 miles, northwest (120°)
x - component = (80 miles)*(sin 30°) = 40 miles (negative)
y - component =(80 miles)*(cos 30°) = 69.282 miles (positive)
Solve for the distance,
√(-90 - - 40)² + (69.282 miles)² = <em>147.31 miles</em>