Extend means to increase, add length to it, ADD.
2.826
+ 1.46
--------------
4.286
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.
Her house to school is 5 miles.
The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.
Divide 5 miles by 2.5 inches to find miles per inch:
5 / 2.5 = 2 miles per inch.
Now you can multiply the other dimensions on the map by 2 to find total miles:
School to Library = 3 x 2 = 6 miles.
Library to Park = 1.5 x 2 = 3 miles.
Total distance traveled: 5 + 6 + 3 = 14 miles.
The answer to your question would be 1.5 or 1/2 jars filled with beads.
I hope this helped!
<span>Simplifying
10 + -3(3x + -40) = -9x
Reorder the terms:
10 + -3(-40 + 3x) = -9x
10 + (-40 * -3 + 3x * -3) = -9x
10 + (120 + -9x) = -9x
Combine like terms: 10 + 120 = 130
130 + -9x = -9x
Add '9x' to each side of the equation.
130 + -9x + 9x = -9x + 9x
Combine like terms: -9x + 9x = 0
130 + 0 = -9x + 9x
130 = -9x + 9x
Combine like terms: -9x + 9x = 0
130 = 0
Solving
130 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.</span>
