In parallelogram ABCD, what is DC? DC = in.
2 answers:
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.
To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
= 
x = 3in
Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in
To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
AB=(27-14)in
AB=13 in
To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
x = 3in
Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in
To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
AB=(27-14)in
AB=13 in
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The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Step-by-step explanation:
The given is,
Two points are (2,-2) and (0,-9)
Step:1
By graphical method,
For two points (2,-2) and (0,-9)
First point (2,-2)
The values of x=2 and y=-9 noted in the graph
Second point (0,-9)
The values of x=0 and y=-9 noted in the graph
Now join the two points, measure the distance between the two points,
Distance between points are 7.3 units.
( OR )
Step:1
By formula method,
Distance =
Where,
( 2,-2) are ()
(0,-9) are ()
From the values,
=
=
=
=
= 7.280
≅ 7.3
Distance = 7.3
Result:
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Given:
a.) The population of Arizona is estimated to increase by 6.2% every year.
b.) The population was 4.18 million in 2016.
For us to be able to determine the population in 2022, we will be using the following formula:
Where,
P = Total population after time (t)
P₀ = Starting population = 4.18 million
r = Growth rate (in decimal form) = 6.2%/100 = 0.062
t = time (in years) = 2022 - 2016 = 6 years
e = Euler's number = 2.71828182845
We get,
Therefore, the population in 2022 will be approximately 6,063,646.