What is the measure of c?

c = 20

Step-by-step explanation:

First, let's find b. We can do so by subtracting a from j:

b = 24 - 15 = 9

Now, we know the two triangles are similar so a, b and c, d must be proportional. Let's find the proportion of a to j since that should be same as the proportion of c to k.

So, let's set that equal to the proportion of c to k:

We know what k is so let's solve for c:

So, the measure of c is 20.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.