Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of vertical angles. What is a reasonable conjecture for Kathryn to make by recognizing a pattern and using inductive reasoning?

When a pair of lines intersect, all of the angles formed are congruent.

When a pair of lines intersect, the vertical angles are acute.

When a pair of lines intersect, the vertical angles are congruent.

When a pair of lines intersect, all of the angles formed are right angles.

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

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.

16 is the absolute value

step-by-step explanation: