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4 votes
IM just a little bit slow

IM just a little bit slow-example-1
User Cromandini
by
5.0k points

2 Answers

4 votes

Answer:

x = 4

∠R = 71°

Explanation:

COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.


31 - 3x + 19x - 5 = 90

To make this problem easier to solve, we can combine like terms.


26 + 16x = 90.

Now, we can proceed.

First, subtract 26 from 26 and 90.


26 - 26 = 0. (cancels itself out).


90 - 26 = 64.\\

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.


64/16 = 4

Therefore, the value of x is 4.

-------------------------------------------------------------------------------------------------------------

Now that we have the value of x, we can use this value to replace the variable (x).


19x - 5


19 * 4 - 5 = 71.

Therefore, the value of ∠R is 71°.

User Jandresrodriguez
by
4.5k points
5 votes

Answer:

71°

Explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

User Chris Villa
by
4.3k points