Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
A parallelogram has 4 sides.
So, we divide 72, the meters of the parallelogram. = 18
Now, the length is 4 more, so we add. 18+4=22
The length is 22.
Now, both lengths are 22, so double is 44; subtract 44 from 72. 72-44=28
In conclusion, we divided 28 by 2 to get the width of both sides.28/2=14
The width is 14.
With no given information, we're not sure that it actually is.
We don't even know for sure whether the two angles are
even on the same planet.
