Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get



Multiply both sides by 2.

Isolate the variable x.


Divide both sides by 7.


Now,




Therefore, the measure of angle KLM is 113 degrees.
 
        
             
        
        
        
Answer:
5.3
Step-by-step explanation:
Cos(68) = adjacent/hypotenuse 
Cos(68) = 2/AC
AC = 2/cos(68)
AC = 5.3389343253
AC = 5.3
 
        
                    
             
        
        
        
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
Solve for <em>b</em> :
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
209 - 146 = 13 <em>b</em> - 4<em> b</em>
63 = 9 <em>b</em>
<em>b</em> = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
 
        
             
        
        
        
9.1/3575
use long division like this
         _<u>0.</u>_________
3575|91.000000
we find how many of 3575 fit into the 91
it's too big so we go farther
how many 3575 go into 910
too big so we go farther
how many 3575 go into 9100
the answer is 2 so put that in the correct place and mulitply that and put that in the correct place. then we subtract 
         _<u>0.</u><u>02</u>_________
3575|91.000000
        -<u>71.50</u>
         19.50
bring down the next number
find how many go into 19.500
the answe ris 5
         _<u>0.</u><u>02</u><u>5</u>_________
3575|91.000000
        -<u>71.50</u>
         19.500
        -<u>17.875</u>
           1.625
           
bring down he next zero ( I fast forward and skip steps for convinience)
                      __
         _<u>0.</u><u>02</u><u>5</u><u>455</u>_________
3575|91.000000
        -<u>71.50</u>
         19.500
        -<u>17.875</u>
           1.6250
          -<u>1.4300</u>
             .19500
            -<u>.17875
</u>                16250
               -14300
and so on untill infinity so the answe ris 0.0254555555555555 (enless fives)
        
             
        
        
        
For the sum we have the following properties:
 The properties are commutative, asosiative, distributive and neutral element.
 Commutative property: When two numbers are added, the result is the same regardless of the order of the addends.
 Associative property: When three or more numbers are added, the result is the same regardless of the order in which the addends are added.
 Neutral element: The sum of any number and zero is equal to the original number.
 Distributive property: The sum of two numbers multiplied by a third number is equal to the sum of each summand multiplied by the third number.<span><span>
 </span><span>For subtraction we have:
 
</span><span> The arithmetic operation of the subtraction (subtraction) is indicated by the minus sign (-) and is the opposite, or inverse, operation of the addition. </span><span>That is, it is an arithmetic operation that serves to find the difference between two numbers.
</span><span> 
 In subtraction A - B = D
 </span><span>A is the minuendo
 </span><span>B is the substraendo
 </span><span>D is the difference
 </span><span>Answer:
 </span><span>The properties of addition and subtraction serve to rewrite and simplify calculations.</span></span>