Simply simplify the ratios/fractions into their simplest fraction form and divide the numerator by the denominator. If they are equal, they are in fact proportions, if not, they aren't
For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number.
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Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 5 ⇒ m = 
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
= - 
y =
x + 4 ⇒ m = 
y = -
x + 5 ⇒ m = - 
y =
x + 3 ⇒ m = 
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
= - 
the 2nd and 4th lines are perpendicular
The formula for solving a rhombus is A = P*Q/2
5.5×4 =22
22÷2 = 11
Awnswer: 11 cm²