The answer is 22 , you’re welcome!
There can be more then 1 mode.
Sometimes, there is not even a mode.....and other times, there is 1 mode.
Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal.
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other.
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides.
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides.
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals.
So...x = 1
Your final answer is both sides equal 1 in.
<span>When given an algebraic expression involving subtraction why
is it best to rewrite the expression using addition before identifying the terms
is because you can consider the basic rule of operations such as the PEMDAS or
simply the MDAS in computing and calculating equations. Hence Addition comes
before Subtraction. For example given -3 + 5, you can arrange this set into a
simpler one such as 5 – 3 = 2. You aim to have a positive sum rather than a
negative value sum. </span>
<h3>
Answer: 36.4 units (choice A)</h3>
===========================================================
Explanation:
Let's use the distance formula to find the distance from D to E
Note: uppercase D refers to the point, while lowercase d is the distance from D to E.
The length of segment DE is roughly 10.198 units long.
----------------
Repeat for the distance from E to F.
Segment EF is roughly 11.1803 units long.
----------------
Repeat for the distance from F to D.
Unlike the others, this result is exact.
----------------
Add up the three segment lengths to get the perimeter
DE + EF + FD
10.198 + 11.1803 + 15
36.3783
The perimeter is approximately 36.3783 units which rounds to <u>36.4</u>
The answer has been confirmed with GeoGebra.