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:
Where:
--- the length of each toothpick
The area of the rectangle is then represented as:
So, the total area of the figure is:
This gives
Substitute 6 for s
Hence, the total area of the figure is 139.20 square centimeters
Read more about areas at:
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The slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
<h3>How to illustrate the information?</h3>
From the information given, we are told to use the slope formula along with the coordinates of points A, B, C, and D to find the slope.
The slope of AB based on the information will be:
= (-1 -3)/(-1 --3)
= -4/2
= 2
The slope of DC will be:
= 2-6/(1 --1)
= -4/2
= -2
Therefore, the slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
Learn more about coordinate on:
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The average of those two values is
(-11-4 +i+4i)/2 = -(15/2) +(5/2)i
Answer:
x = 25
Step-by-step explanation:
The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.
This is an equilateral triangle. So all 3 angles are equal.
We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:
180/3 = 60
The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:
The value of x is 25
Answer:
x = 1, x = -1
Step-by-step explanation:
-4x² = -4
x² = 1
x = 
x = ±1
