The sum of two numbers is 21. their difference is 7. what are the numbers?

The numbers are

14

and

7

.

Explanation:

Let the numbers be

x

and

y

.

x

+

y

=

21

x

−

y

=

7

y

=

21

−

x

x

−

(

21

−

x

)

=

7

x

−

21

+

x

=

7

2

x

=

28

x

=

14

∴

14

+

y

=

21

y

=

7

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this