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
<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:
By properties of powers, if you have the same base, you can substract the exponents. Then:
=(</span>27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)
<span>
Therefore, the answer is: The exponent on the variable z is 5.</span>
Explanation:
Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.
If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span>
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.
Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span>
For Freda: 
For Geoff: 
<span>
We can conclude that
Eli will get </span>
£180,
Freda will get £260, and
Geoff will get <span>
£360.</span>
Answer:
Step-by-step explanation:
It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".
