PLEASE HELP BEST ANSWER GETS BRAINLIEST: Give detailed and step by step answer, show your work.

Find the value of x in each case:

x=17

Step-by-step explanation:

Hello! There are a few important pieces of information you need to keep in mind before trying to solve this problem:

Now that we know these two pieces of information, we can begin to set up our problem. Because the angles in a triangle always add up to 180, we can set up the problem as follows:

x + 100° + ∠DCE = 4x + 49° + ∠ACB

Now this is where the vertical angles come in. Angles ∠DCE and ∠ACB are vertical, which makes them congruent. Since they are the same value, we can subtract them from either side of the equation. (NOTE: We can only do this because they are the same value. Subtracting angles of different values will mess up your answer!!!)

Now, we have the same problem in much simpler terms. We can now simplify it in order to get x.

4x + 49 = x + 100 (subtract 49 from both sides)

4x = x + 51 (subtract x from both sides)

3x = 51 (divide both sides by 3)

x = 17 (FINAL ANSWER)

I really hope this helped! Take care! :)

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: