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natima [27]
2 years ago
6

In 1 and 2, use the table below that shows information about squares.

Mathematics
1 answer:
frutty [35]2 years ago
3 0

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.

Learn more about proportional relationship on:

brainly.com/question/15618632

#SPJ1

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Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?
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Answer:

TD \cong GS

Step-by-step explanation:

See comment for complete question

Given:

TM \cong GL

MD \cong LS

Required

The information that shows \triangle MTD \cong \triangle LGS by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

TM \cong GL

MD \cong LS

The third side of \triangle MTD is TD

The third side of \triangle LGS is GS

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

TD \cong GS

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