Answer:
The area of the shape is 
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula 
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
Answer:
see the explanation
The graph in the attached figure
Step-by-step explanation:
we have
This is a linear equation (the graph is a line)
The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)
The slope is m=3
If the slope is changed to m=1/3
we have
This is a linear equation too (the graph is a line)
The y-intercept is the point (0,4) ---> is the same
The x-intercept is the point (-12,0) ---> the x-intercept is different
The slope is m=1/3
The second line becomes a lot less steep
Remember that the slope is the ratio between the rise and the run
In the first line the ratio rise/run is 4/1
In the second line the ratio rise/run is 1/3
see the attached figure to better understand the problem
Answer:
y = 0 and x = 6
y = 2 and x = 3
y = 4 and x = 0
y = 6 and x = -3
Step-by-step explanation:
2x+3y=12 is the equation of a straight line.
There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.
Answer:
x=6, AB=61, BC=61, AC=122
Step-by-step explanation:
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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