Step-by-step explanation:
what is the question. what am I to do with those random numbers without a question, I'm just writing all this because they said at least 20 characters so don't get offended but pls give a detailed question
Answer:
x = 3.75
Step-by-step explanation:
So, lets start with what we know.
Line = 180 degrees
Triangle = 180 degrees, a + b + c = 180
So, we can form the equations,
17x - 1 + <CDB = 180
-17x + 1 -17x + 1
<CDB = 181 - 17x
and
84 +7x + 5 + <CDB = 180
89 + 7x + <CDB = 180
-89 -89 + 7x
<CDB = 91 + 7x
Here, we are given 2 values of <CDB, but they must be the same, so let's substitute them into each other
181 - 17x = 91 + 7x
-91 +17x -91 +17x
90 = 24x
90 / 24 = 24x / 24
3.75 = x
x = 3.75
There, you have it, x is 3.75
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
That converse theorem is
.. "If a line divides two sides of a triangle proportionally, then it is parallel to the third side."
Not a part of the theorem (or its proof) is
.. A. A perpendicular line to one side of a triangle.
_____
It seems you're supposed to remember that the theorem involves parallel lines, not perpendicular ones.
1/4 + 3/8
Rewrite with the LCD (lowest common denominator)
Remember : the denominator is just the bottom number on a fraction.
Let's look at both of our given fractions denominator's.
4 & 8 → What do both of these numbers have in common? They both go into 8!
How many times does 4 go into 8? → Twice
How many times does 8 go into 8? → Once
So, because of that, we must multiply the top number (numerator) of each fraction with either one, or two.
First fraction : 1/4 × 2/2 =2/8 → So, our first fraction changes.
Second fraction : 3/8 × 1/1 = 3/8 → However, our second fraction changes.
So, our new question looks like this : 2/8 + 3/8
If you wanted us to answer this question, we simply need to add the top numbers (numerators) with one another because both fractions have the same bottom numbers (denominators).
2 + 3 = 5
So, our answer is 5/8 and our question rewritten with the LCD is : 2/8 + 3/8
~Hope I helped!~
