If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is <em>true</em>;<em> </em>however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.
This inequality shows that Leila is correct:
(which simplifies to
)
This inequality shows that Leila is incorrect:
(which simplifies to
)
Hope this helps!
The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units
<h3>How to determine the length?</h3>
The figure is a trapezoid with the following parameters:
Area = 107.95
Base= 12
Height = 12.7
Length = x
The area of a trapezoid is:
Area = 0.5 * (Base + Length) * Height
So, we have:
0.5 * (12 + Length) * 12.7 = 107.95
Evaluate the product
(12 + Length) * 6.35 = 107.95
Divide both sides by 6.35
12 + Length = 17
Subtract 12 from both sides
Length = 5
Hence, the length of the trapezoid is 5 units
Read more about areas at:
brainly.com/question/24487155
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9514 1404 393
Answer:
C. 168°
Step-by-step explanation:
The exterior angle at any vertex of an n-gon will be ...
360°/n
So a 30-gon will have exterior angles of ...
360°/30 = 12°
The adjacent interior angle is supplementary to this, so is ...
180° -12° = 168°
_____
<em>Using the reasonableness test</em>
You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.
