let's notice that, each angle has an "angle tickmark", indicating that all three angles are equal, thus is an equilateral triangle, since the sides are equal, then

$\bf \stackrel{AC}{4x-30}~~=~~\stackrel{CB}{2x+20}\implies 2x-30=20 \\\\\\ 2x=50\implies x = \cfrac{50}{2}\implies x=25$

6 0

4 years ago

Help please!!!! x = ___ units

Natali [406]

Answer:

x = 20 units

Step-by-step explanation:

∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.

Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).

2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.

∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.

Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,

20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →

x = 20.

3 0

3 years ago