<h3>
Answer: 40</h3>
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Explanation:
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
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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.
Answer:
C. 210 miles.
Step-by-step explanation:
If Car 1 left 30 minutes earlier
than Car 2 therefore Car 2 traveled 3 hours
compared to Car 1's 3.5 hours
Car 1 traveled 3.5 x 42 mph = 147 miles
Car 2 travelled 3 x 50 mph = 150 miles
The distance between them would be
√147^2 + 150^2
= 210
The price of the hot dogs is $1.50 and $1 for soft drinks.
$9(6 hot dogs)+$4(4 soft drinks)=$13
$4.50(3 hot dogs)+$4(4 soft drinks)=$8.50
Answer:5-]2u0972=071-984622324rt1yuiouytrewqwertyuiop[]
Step-by-step explanation:
It can be helpful to rearrange numerators and denominators so you can see the factors cancel. The result is negative if the number of negative factors is odd. Mixed numbers are often easier to multiply if changed to improper fractions first.
- (5/16)(-2)(-4)(-4/5) = -(5/5·(4·4)/16·2) = -2
- (2/3)(-4)(9) = -(9/3·2·4) = -24
- (2 3/5)(7/9) = 13/5·7/9 = (13·7)/(5·9) = 91/45
- (-3/4)(7/8) = -(3·7)/(4·8) = -21/32
