Answer:
c=-5
d=1
Step-by-step explanation:
I'm going to reorder the left-hand side. Multiplication is commutative.
Since the bases are the same in and the operation is multiplication, I'm going to add the exponents giving me:
So this implies we have two equations to solve:
and
So the first equation can be solved by dividing both sides by 4 giving you .
The second equation can be solved by subtracting 2 on both sides giving you .
Slope of the given line is :
where ,
let's solve :
Slope = -3 / 4
*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°
