The Side Angle Side postulate can be used to determine the
congruency of two triangles. It states that if two sides and the angle in
between of one triangle are congruent to two sides and the angle in between of another
triangle, then the two triangles are congruent.
In this case, the angle between sides KL and side JL is angle
L and the angle between sides NR and MR is angle R. Therefore for the two
triangles to be congruent, angle L must be congruent to angle R.
The answer to this is: The additional information needed is ∠L ≅ ∠R.
It's an isosceles triangle because two of the sides are equal. An equilateral triangle is when all of the sides are equal, and a scalene triangle is when all of the side lengths are different. An acute triangle is when all three angle measures are less than 90 degrees. Hope this helps!
Answer:
it is 519020
Step-by-step explanation:
Answer:
x = 11.5, y = -5.5.
As an ordered pair this is (11.5, -5.5).
Step-by-step explanation:
2x+4y=1 Multiply this by 3:
3x+5y=7 Multiply this by -2.
6x + 12y = 3
-6x - 10y = -14 Adding these 2 equations:
0 + 2y = -11.
y = -11/2
y = -5.5.
Now plug this into the first equation:
2x + 4(-5.5) = 1
2x = 1 + 22
x = 23/2
x = 11.5.
Answer:
The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.
Remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
where pi = 3.14
Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:
V = (4/3)*pi*( R^3 - r^3)
In this case, we have:
R = 200m
r = 100m
Then the volume of the hollow ball is:
V = (4/3)*3.14*( (200m)^3 - (100m)^3)
V = 29,306,666.67 m^3
Now, if this hollow ball is made of iron, we want to find the mass.
Remember the relation:
Mass = Density*Volume.
We know that the density of the iron is:
D = 7300 kg/m^3
Then the mass of this hollow ball is:
M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg