can someone please help me (: The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship. *

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m =  =

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.

the correct answer is semicircle

step-by-step explanation:

the answer is semicircle because the shorter arc joining two points on the circumference of a circle is known as the minor arc, the larger arc is called the major arc, and a semicircle is a half circle, formed by cutting a whole circle along a diameter line.

hope i .

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .