Given:
m(ar KN) = 2x + 151
m(ar LN) = 61°
m∠NMK = 2x + 45
To find:
m∠NMK
Solution:
By property of circle:
<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>



Multiply by 2 on both sides, we get


Subtract 90 from both sides.


Subtract 2x from both sides.



Substitute x= 0 in m∠NMK.
m∠NMK = 2x + 45
= 2(0) + 45
= 45
Therefore m∠NMK = 45.
Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50
Money borrowed by Anthony from his sister to pay a library fine = $3.75
Hence, the equation to express Anthony's total debt that day will be =
Let T be the total debt , so the equations becomes,
6.50 + 3.75 = T
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>
since its an isoscelies trangle, they probably wanted you to do base times height
make a 71-91/2-x x triangle
where x is the height of the triangle to the base 91 and 71 is the hypothenuse
and then do bh/2
or
use heron's formula
s= 71+91/2
area= 
have fun solving that