Which type of quadrilateral is the figure below? Select the best answer from the choices provided.
A.
trapezoid
B.
parallelogram
C.
rhombus
D.
concave quadrilateral

9514 1404 393

  A.  trapezoid

Step-by-step explanation:

The missing angle U is 86°, the value that makes the total be 360°. Then the top two angles total 180°, as do the bottom two angles. This means sides SV and TU are parallel, but sides UV and ST are not.

The figure has one pair of parallel sides, so is a trapezoid.

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A concave quadrilateral has a reflex angle. This figure does not.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

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.