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Answer:
The solution of the inequality - 35x + 15 > 720 is
Step-by-step explanation:
Consider the given inequality
- 35x + 15 > 720
Subtract both side by 15 , we get
- 35x + 15 - 15 > 720 - 15
- 35x > 705
Multiply both sides by -1 (Reverse the inequality )
(-35x)(-1) < 705 (-1)
35x < -705
Now, divide both side by 35
Thus, the solution of the inequality - 35x + 15 > 720 is
*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
