Answer:
(C)18 units
Step-by-step explanation:
- Point G is the centroid of triangle ABC.
- C is a vertex of the triangle
- D is the midpoint of the side opposite the vertex.
From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.
Therefore:
CG=2DG
Let the length of segment DG =x
The length of segment CG is 6 units greater, therefore: CG=x+6
Substituting into CG=2DG:
x+6=2x
2x-x=6
x=6 Units
Therefore:
CD=CG+GD
=6+6+6
=18 Units
<u><em>The correct option is C.</em></u>
Hello,
Answer C
125x^6-8=(5x²)^3-2^3=(5x²-3)((5x²)²+2*5*x²+4)
Answer:
B and D
Step-by-step explanation:
One thing is for certain. The final answer will be 1/r^12 or r^(-12)
When written as the given of (r^-4)^3, the powers are multiplied.
The first one is false. There are 4 factors of r^-4 If you get an answer that says it is true, then the question means that r^-4 is 3 equal factors of r^-12
B is true
C: not true. The exponents are multiplied, not added.
D is true
E: not true. This is the same thing as C.
Answer:
X=13
Step-by-step explanation:
Basically you want to solve for x
If you look at the image it has a striaght line... A striaght line in Angles means both Angles ADDED together need to be equal to 180.
so we will write it like this (11x-15)+(5x-13)=180
to solve you need to isolate X to do that you need to move some number around but first lets take these numbers out of parenthesis...
11x-15+5x-13=180
Now we need to combine liked terms
our liked terms are 5x and 11x
and -15 and -13
add 5x and 11x= 16x
and add -15 and -13= -28
16x-28=180
Now we need to move a number
easiest number to move is -28
to do so we need to add 28 on both sides to cancel it out from one side.
-28+28=0
180+28=208
16x=208
now we need to isolate x
meaning now we need to divide 16 on both sides...
16/16 =1
1 is same as X because X is one
so it will just be x
208/16=13
x=13
now we need to plug it in to each of the original equations and check our answer
(11(13)-15)= 11*13= 143 143-15= 128
(5(13)-13) = 5*13=65 65-13= 52
now lets see if both of these answers added together equal 180
128+52=180
yes it does so it is correct X = 13
X=8 is a vertical line....so a parallel line is also vertical, the vertical line will be at the x coordinate of the point we wish to pass through...
x=-3
