Answer:
Do not write ratios like so
2-1
Step-by-step explanation:
Let the acute angle be 2x.
Its complement is 90 - 2x.
It is given that this complementary angle is less than each of the bisected angle.
Therefore, 90 - 2x < x
90 < 3x
or, x > 30.
2x > 60
Therefore, the statement is true for all angles that are greater than 60 degrees.
To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,
4x + 29 = 5 - 8(x+6)
4x + 29 = 5 - 8x - 48
4x + 29 = - 43 -8x Combine the like terms.
4x + 29 + 8x = -43 Add 8x to each sides of the equation.
12x + 29 = -43
12x = -43 - 29 Subtract 29 from each sides.
12x = -72

So, x =- 6
Answer:
Using the Pythagorean theorem
a^2 + b^2 = c^2
c = square root(a^2 + b^2)
c = square root(27^2 + 36^2)
c = square root(729 + 1296)
c = square root(2025)
c= 45
<u>Straight Line Distance = 45 miles</u>