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The length of the GH segment is 13
Step-by-step explanation:
For solving this problem we need to remember some of the circle corollaries-
When two-chord intersects each other, the product of the chord segments are equal
The above corollary can be easily understood by looking at a diagram attached below-
In the figure, EF and GH are two chords intersecting at K
Thus, EK*KF= GK*KH
Values of the EK, KF, GK are given as 5, 6 and 3 respectively
Substituting the values we get
5*6=3*KH
KH= 10
We know that GH= GK+KH
Thus GH= 3+10= 13
Answer:
(-2, -3)
Step-by-step explanation:
If a segment having extreme ends as
and
is divided by a point (x, y) in the ratio of m:n,
x = 
y = 
Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,
x = 
= 
= -2
y = 
= 
= -3
Therefore, coordinates of the point S will be (-2, -3).
Answer:
There are 46 more skiers than snowboarder
Step-by-step explanation:
Given
Ratio of Snowboarders to Skiers
On Friday:

On Saturday:

Population = 168
Required
Determine the difference in the number of skiers and snowboarders on Saturday
On Saturday, we have

Calculate Total


Calculate the number of skiers


(Approximated)
Calculate the number of snowboarders


(Approximated)
Calculate the difference


<em>Hence, there are 46 more skiers than snowboarder</em>
Answer:
(-5, -1) = P (2, -5) = Q
Step-by-step explanation: