Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
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<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
The required simplified value of $10.40 to $13.12 is $2.72.
Given that,
To determine the simplified value of $10.40 to $13.12.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In the question, asked about the difference between the numbers
$10.40 to $13.12
= 13.12 - 10.40
= $2.72
Thus, the required simplified value of $10.40 to $13.12 is $2.72.
Learn more about simplification here:
brainly.com/question/12501526
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The total area of the composite figure is 176 ft
<h3>How to find the area of a composite figure?</h3>
The area of a composite figure can be found as follows;
Therefore,
Total area = area of rectangle + area of triangle
area of rectangle = lw
where
Therefore,
area of a rectangle = 16 × 8
area of a rectangle = 128 ft²
area of triangle = 1 / 2 bh
where
Therefore,
area of triangle = 1 / 2 × 12 × 8
area of triangle = 48 ft²
Total area of the composite figure = 48 + 128 = 176 ft
learn more on composite figure here: brainly.com/question/12315384
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Step-by-step explanation:
10^3 means add 3 "000"
so 10^3 × 48 = 48,000
