Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = =
=
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = ≈ 16.2 in ( to the nearest tenth )
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sin60° = =
=
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = ≈ 32.3 in ( to the nearest tenth )
Answer:
28 guests with 2 guests remaining
Step-by-step explanation:
254/9 = 28.2222222
so 28 remainder 2
hope this helps :) mark brainliest?
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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.
