1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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Step-by-step explanation:
Since AC=BE & DE=DC
then measure angle <CAD=<EBD =X
Then< DAB =90-x
And <ABD= 90-X
then measure angle 1= measure angle 2
Answer:
Step-by-step explanation:
b and c are the speeds of the boat in stool water, and current, respectively.
Going with the current, the boat travels b+c=16 km/h.
Going against the current, the boat travels b-c=6 km/h
add the equations together
b+c = 16
b-c = 6
—————
2b = 22
b = 11
c = 16-b = 5
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
∠F=90°, FD = 63 feet, and DE = 71 feet.
That's a right angle triangle also.
measure of ∠E to the nearest degree
sin∠E = 63/71
sin∠E = 0.8873
∠E= sin^-1 0.8873
∠E= 62.5°
