Write an algebraic expression for the situation.

faltersainse [42]

21.
a. Ratio of blue: green
Length blue: length green
3:6 or 1:2
Width blue :width green
2:4 or 1:2
Perimeter blue: perimeter green
2+2+3+3=10: 4+4+6+6= 20 or 1 :2
Area blue: Area green
2•3=6 : 4•6= 24 or 1:4

b. The lenght, with and perimeter of the big green rectangle are double the size of the small blue rectangle.
The area of the big green rectangle is 4 times greater than the area of the small blue rectangle. So if the lenghts of a rectangle are doubled the perimeter is doubled and the area is 4 times biger than the area of the doubeled rectangle.

8 0

3 years ago

En un triángulo obtusángulo, uno de los ángulos mide 20° mas que el otro. El tercer ángulo, mide el doble que el mayor de los do

Troyanec [42]

Answer:

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.

Step-by-step explanation:

Siendo "x" el valor de un ángulo del triángulo obtusángulo, sabes que uno de los ángulos, llamado segundo ángulo, mide 20° más que el primero. Este segundo ángulo se representa como x + 20°.

Además, un tercer ángulo mide el doble que el mayor de los dos, que en este caso es el ángulo cuya expresión es x + 20°. Por lo que el doble de este será 2*(x + 20)°, que será la medida del tercer ángulo.

Teniendo en cuenta que la suma de los ángulos interiores de un triángulo es 180°. Entonces, es posible sumar los valores de cada uno de los ángulos e igualarlos a 180°:

x + x + 20° + 2*(x + 20°) = 180°

Resolviendo:

x + x + 20° + 2*x + 2*20° = 180°

x + x + 20° + 2*x + 40° = 180°

4*x + 20° + 40° = 180°

4*x + 60° = 180°

4*x = 180° - 60°

4*x = 120°

x = 120° ÷ 4

x = 30°

Entonces, la medida del primer ángulo es 30°. El segundo ángulo es calculado como x + 20° = 30° + 20° = 50° mientras que el tercer ángulo es 2*(x + 20°) = 2*(30° + 20°) = 2*(50°) = 100°

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.

3 0

3 years ago

Polygons are a subcategory of parallograms

dolphi86 [110]

Answer:

Step-by-step explanation:

Category:Parallelograms. ... A parallelogram is a quadrilateral whose opposite sides are parallel to each other, and whose sides may or may not all be the same length.

We know many quadrilaterals by their special shapes and properties, like squares. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated.

Special Quadrilaterals

A parallelogram has two parallel pairs of opposite sides.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.

Trapezoids only have one pair of parallel sides. It's a type of quadrilateral that is not a parallelogram. (British name: Trapezium)

Kites have two pairs of adjacent sides that are equal.

We can use a Venn diagram to help us group the types of quadrilaterals.

A Venn diagram uses overlapping circles to show relationships between groups of objects. All "quadrilaterals" can be separated into three sub-groups: general quadrilaterals, parallelograms and trapezoids.

Is a rectangle always a rhombus? No, because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

We can put squares in the intersection of the two circles.

From this diagram, you can see that a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!

Is a trapezoid a parallelogram? No, because a trapezoid has only one pair of parallel sides. That is why we must show the set of trapezoids in a separate circle on the Venn diagram.

What about kites? Kites are quadrilaterals that can be parallelograms. If their two pairs of sides are equal, it becomes a rhombus, and if their angles are equal, it becomes a square.

Related Links:

Area Formulas

Perimeter Formulas

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8 0

3 years ago

Does anyone know the answer to these

vladimir1956 [14]

53) The metric unit of mass is kilogram. It is the mass of a piece of platinum alloy that keep in a museum in Paris. One kg (kilogram) is equal to 1000 g (gram). One kg (mass) weighs 2.205 pounds on the surface of the Earth.

54) The unit used to measure weight in the metric system is the gram. Other metric units for weight include the kilogram, the metric ton and the milligram

55) not sure about this one

56)

6 0

3 years ago

2 3 − 5 6 ·8 Simplify.

Helga [31]

Answer:

-1.33 and so on

Step-by-step explanation:

Take each fraction and plug it into a calculator. 2/3 is really 2 divide by 3. Same with the 5 and 6. You should get 0.67 and so on for 2/3 and 0.83 and so on for the 5/6. Subtract as shown in the problem. You should get 0.67-0.83= -0.1666 so on. Multiply by 8 to get -1.33 and so on. The "and so on" means this decimal is repeating. Hope this Helps!

5 0

3 years ago

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