3 years ago

2x=3x-8 how do I solve for 'X' (Geometry)

Mathematics

1 answer:

Deffense [45]3 years ago

6 0

You subtract 2x -3x which youll get 1x=-8 you divide 1x and 8 youll get either negative 8.

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tangare [24]

Answer: 0

Step-by-step explanation:

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3 years ago

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A triangle has vertices A(0, 0), B, (–2, 8), and C(1, 7). What are the coordinates of the triangle after a dilation with a scale

Elina [12.6K]

Answer:

Basically multiply the x and y coordinates of each point by 1/2

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t

Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

$A_1 = \sqrt{\frac{3s^2}{4}}$

Where:

$s = 6$ --- the length of each toothpick

The area of the rectangle is then represented as:

$A_2 =3s \times s$

$A_2 =3s^2$

So, the total area of the figure is:

$Total = 6A_1 + A_2$

This gives

$Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2$

Substitute 6 for s

$Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2$

$Total =6 \times \sqrt{27} + 108$

$Total =6 \times 5.20+ 108$

$Total =139.20$

Hence, the total area of the figure is 139.20 square centimeters