If the same number is added to the numerator and subtracted from the denominator of 23/12, the resulting fraction is equivalent to the reciprocal of 2/3. what is the number?

-2

Step-by-step explanation:

After trying possible numbers, such as 1 or 2, this happens.

However, these answers are not suitable to equal the fraction 3/2.

Now let's try a different route. Search for possible GCF's of 3 and 2, then create fractions with them.

Example:

6/4, 9/6, 12/8, 15/10, 18/12, etc.

The number I found that matched the requirements was 21/14.

Here's how we find and solve this problem.

Let's replace X with -2.

23 + (-2) = 21 12 – (-2) = 14 --> 21/14

21/14 can be divided by 7 to equal 3/2.

This is also the same fraction as the original reciprocal. The fraction was created by adding and subtracting the same number from the numerator and the denominator. Therefore, we can claim that the number is in fact negative two!

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

answer is c   hope you got it : d

1,201 mm3