Answer: 
Step-by-step explanation:
Add 
on both sides and subtract 
on both sides to leave x's on the left side and independent values on the right.
Solve the fractions.
Convert the mixed fraction 
to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.
Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.
Answer:
Principle should be $2,667
Step-by-step explanation:
We need $3000 for a vacation to Europe in 3 years.
Using amount formula,
Where, P is principle (P=?)
A is amount (A=3000)
r is rate of interest (r=0.04)
t is time (t=3)
Substitute the values into formula and solve for P
Hence, Principle should be $2,667
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
Divide the previous value by 5.
Answer:
Omar could invite 19 friends.
Step-by-step explanation:
the equation for this word problem would be
5x+30=125
subract 30 from both sides
5x=95
divide both sides by 5
x=19
