JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.

See the diagram below.

The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)

We know that JN = 60

Let x = JQ and y = QN

The ratio of x to y is x/y and this is 2/1

x/y = 2/1

1*x = y*2

x = 2y

Now use the segment addition postulate

JQ + QN = JN

x + y = 60

2y + y = 60

3y = 60

y = 60/3

y = 20

QN = 20

JQ = 2*y = 2*QN = 2*20 = 40

--------------

We have

JQ = 40 and QN = 20

We see that JQ is twice as larger as QN and that JQ + QN is equal to 60.

7 0

3 years ago

Rachel buys 1 gallon of milk. Her sister Abby uses 1 1 2 quarts of the milk in a recipe. Then her mother uses 3 cups of the milk

mrs_skeptik [129]

1 Gallon is equal to 4 Quarts.

$4-1\frac{1}{2} =2\frac{1}{2}$

$2\frac{1}{2}$ Quarts is equal to 10 Cups.

$10-3=7$

There are 7 Cups left.

7 Cups is equal to 56 Fluid Ounces.

Therefore, the answer is B.

7 0

3 years ago