Answer:
x = 11
Step-by-step explanation:
(3x + 28) + (5x + 52) + ( 2x - 10) = 180
(3x + 5x + 2x) + (28 + 52 - 10) = 180
10x + 70 = 180
10x = 180 - 70
10x = 110
x = 11
X-x-2/6=x-7/3+2/3
-2/6+7/3-2/3=x
x= -2/6+5/3
x= 8/6
x= 4/3
Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
7(3a + 12) = 168 ← ( divide both sides by 7 )
3a + 12 = 24 ← ( subtract 12 from both sides )
3a = 12 ← ( divide both sides by 3 )
a = 4
OR
distribute the parenthesis by 7
21a + 84 = 168 ← ( subtract 84 from both sides )
21a = 84 ← ( divide both sides by 21 )
a = 4
Answer:the answer is 4 to the square root of 2
Step-by-step explanation:
