Share 800 in the ratio 9:7.
1 answer:
<u>Answer:</u>
- The numerator '9's share is 450 and the denominator '7's share is 350.
<u>Step-by-step explanation:</u>
<u>Step-1: Add the ratios:</u>
- 9 + 7
- 16
<u>Step-2: Divide 800 by the sum of the ratios:</u>
- 800 ÷ 16
- => 50
<u>Step-3: Multiply 50 with each ratio:</u>
- 9 x 50 = 450
- 7 x 50 = 350
Hence, <u>the numerator '9's share is 450 and the denominator '7's share is 350.</u>
Hoped this helped.
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<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.