The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
Add -4x to both sides--> 6x+9=4x-3 and 2x+9=-3
multiply both sides by -1/4 --> -4(5x+7)=-18 and 5x-7=4.5
multiply both sides by 1/4--> 12x+4=20x+24 and 3x+1=5x+6
multiply both sides by -4--> -5x/4=4 and 5x=-16
add -4 to both sides--> 8-10x=7+5x and 4-10x=3+5x
Answer:
x=90/7
Step-by-step explanation:
7x=90
x=90/7
6x+3=45
6x+3-3=45-3
6x= 42
Divide by 6 for 6x and 42
6x/6= 42/6
x= 7
Check answer by using substitution method
6x+3= 45
6(7)+3= 45
42+3= 45
45= 45
The answer is x= 7
Answer is 6(c) + 50
Step by step
We know the following
6 months cable multiplied by “c” dollars per month plus $50 one time fee
6 (c) + $50
We multiply 6 months times the unknown “c” per month. Then we add the one time fee.
The other three options multiply $50 by 6 months, by 2 and by “c”, therefore not correct.
