Answer:

Step-by-step explanation:

Having a decimal is not very nice to deal with, so we multiply all sides by 10 to get rid of the decimals.


Subtract 14 from both sides:


Divide both sides by 39:


Answer:
∠ MPQ = 125°
Step-by-step explanation:
∠ LMN and ∠ MPQ are corresponding angles and are congruent , so
5x = 3x + 50 ( subtract 3x from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Then
∠ MPQ = 3x + 50 = 3(25) + 50 = 75 + 50 = 125°
180 - 138 = 42°
90 + 42 = 132°
180 - 132 = 42° = m
-
90 + 42 + 2n = 180
132 + 2n = 180
- 132
2n = 48
÷ 2
n = 24°
-
Hope this helps! Let me know if you have any questions :)
Answer:
x > - 15
Step-by-step explanation:
Given
36 > - 2(x + 4) + 14 ← distribute and simplify right side
36 > - 2x - 8 + 14
36 > - 2x + 6 ( add 2x to both sides )
2x + 36 > 6 ( subtract 36 from both sides )
2x > - 30 ( divide both sides by 2 )
x > - 15