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Alex
3 years ago
8

I NEED HELP PLEASE, THANK YOU. :) Solve for x in the figure below.

Mathematics
2 answers:
katrin2010 [14]3 years ago
5 0

Answer: x = 12

Step-by-step explanation:

We know that the whole angle is 90°. Therefore, we can set up our equation like this:

90 = 50 + 3x + 4

Lets combine like terms:

90 = 54 + 3x

Now, let’s isolate the variable. To do this, we have to move 54 to the other side, making it negative.

90 - 54 = 3x

36 = 3x

Now, you divide, the leave the variable by itself.

\frac{36}{3} = \frac{3x}{3}

Therefore, x = 12.

ElenaW [278]3 years ago
5 0

We can see that there is a right angle in the figure and that both the 50° and (3x + 4)° angle make a complementary angle (90°).

We can write an equation:

90 = 50 + 3x + 4

Solve for x.

90 = 50 + 3x + 4

~Combine like terms

90 = 54 + 3x

~Subtract 54 to both sides

90 - 54 = 54 - 54 + 3x

~Simplify

36 = 3x

~Divide 3 to both sides

36/3 = 3x/3

~Simplify

12 = x

Therefore, x = 12

Best of Luck!

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