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!

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.