What is GE ? Enter your answer in the box.
1 answer:
The length of GE is 10 units
Explanation:
Given that the length of XY = 5 units and YZ = 4.6 units
<u>The length of GE:</u>
We need to determine the length of GE
From the figure, we can see that ZY bisects GE and XY bisects EF.
The lines ZY and XY both bisect GF.
The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".
Since, we have,
EX = XF and X is the midpoint of EF
GY = YF and Y is the midpoint of GF
Since, XY is the line segment that connects the midpoints of the two sides of the triangle.
Applying the midpoint theorem, we have,
Thus, the length of GE is 10 units.
You might be interested in
The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5
<h3>What is logarithm and some of its useful properties?</h3>When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
Log with base e = 2.71828... is written as simply.
Log with base 10 is written as simply.
The equation given is:
By using the definition of log, which says , we get:
or
Thus, the equation that is equivalent to the considered equation of log is given by: Option E:
(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).
Thus, the equation that is equivalent to the considered equation of log is given by: Option E:
Learn more about logarithm here: