PLEASE HELP :')) Point R is a centroid of the triangle SQU. If VR = 18 cm, what is UV?

A) 12 cm
B) 36 cm
C) 27 cm
D) 54 cm

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, is of the distance from to , since the latter is the midpoint of the side opposite to . We know this because belongs to , so must be 's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

Substituting into the equation gives us:

Solving for , we get:

(Multiply both sides of the equation by to get rid of 's coefficient)

(Simplify)

(Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents