Add 31 to both sides.
<span><span><span><span>3x</span>−31</span>+31</span>=<span>76+31
</span></span><span><span>3x</span>=107
</span>
Divide both sides by 3.
<span><span><span><span><span><span>3x/</span>3</span></span></span></span>=<span><span><span>107/3
</span></span></span></span><span>x=<span></span></span>
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
Answer:
4 aquariums
Step-by-step explanation:
48 divided by 12=4
Answer:
Step-by-step explanation:
Let's solve for x.
Step 1: Add -6y to both sides.
11x+6y+−6y=−22+−6y
11x=−6y−22
Step 2: Divide both sides by 11.
Let's solve for y.
11x+6y=−22
Step 1: Add -11x to both sides.
11x+6y+−11x=−22+−11x
6y=−11x−22
Step 2: Divide both sides by 6.
