9514 1404 393
Answer:
C. 36√3 square units
Step-by-step explanation:
Your knowledge of special triangles tells you that height CD is ...
CD = 6√3
so the area is ...
A = 1/2bh
A = 1/2(12)(6√3) = 36√3 . . . . square units
_____
<em>Additional comment</em>
The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...
1 : √3 : 2
This means the length DB is 12/2 = 6, and the length CD is 6√3.
To solve this you can multiply the second equation by to get
3x+6y =18
Then you can subtract it by the first equation to get
7y= 14
And get y= 2
Then you plug in y to one of the equations to find that x=2
Answer:
<em>41 degrees</em>
Step-by-step explanation:
<em>According to Angle Sum Property, the sum of the internal angles of a triangle is equal to 180 degrees.</em>
<em>Therefore,</em>
<em>52 + 87 + ? = 180</em>
<em>139 + ? = 180</em>
<em>? = 180 - 139</em>
<em>? = 41 degrees</em>
<h2>
<em>Answer:</em></h2><h3>
<em>-</em><em>2</em><em>x</em><em>-</em><em>2</em></h3>
<em>
</em>
<em>Hope </em><em>it</em><em> helps</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
The answer is B, 3.07 • 10^4.
