Miguel painting letters of alphabet on cubes. he will paint one letter of the alphabet on each cube. he knows that there are 26 letters in the alphabet. how many cubes will how need if he paints each letter once? how many faces on the last cube will be empty?

By using proportion, the value of x is,

⇒ x = 30

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

the pair of polygons is similar.

Hence, By using proportion we get;

⇒ 30/12 = 75/x

Solve for x by cross multiply,

⇒ x = 75 x 12 / 30

⇒ x = 30

Thus, By using proportion, the value of x is,

⇒ x = 30

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16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

What is Square?

square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram

We need to find the perimeter of square whose side length is 4\19x - 9 units.

Perimeter of square=4a

Where a is length of side

a=4\19x - 9

Perimeter of square=4(4\19x - 9)

Apply distributive property

=16/19 x-36

Hence 16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

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