For this, we will be using Triangle Angle Sum Theorem (all interior angles in a triangle add up to 180°) for Triangle BCD. Since Angle CBD and BDC are congruent to each other and Angle BDA, we can solve for those two angles to get that angle. Our equation will look like this: 
Firstly, subtract 35 on both sides of the equation: 
Next, divide both sides by 2 and your answer will be 72.5 = x.
Since Angle CBD and BDC are 72.5°, this means that Angle BDA is 72.5° as well.
Let, Number of Hours in Library = x
Number of Hours in babysitting = y
Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200
b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10
Now, substitute it in 1st equation,
10 + y = 30
y = 20
Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!
Hope this helps!
Answer:
Step-by-step explanation:
3n+8=35
subtract 8 on both sides
3n=27
n=9
Answer:
As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.
Also, it can be clearly seen that the angles ABC and BAT are congruent by the Alternate Interior Angles Theorem as AB acts as the transversal for the lines BC and TAD which are parallel.
Thus, the only option from the given list of options which matches the answer is Option A.
Thus, Option A is the correct option and thus the final answer.
Step-by-step explanation:
Answer:
-20 + 12y
Step-by-step explanation:
Equation: 10 - 6(5 - 2y)
Step 1:
10 - 30 + 12y Multiply (5 - 2y) by -6 (distributive property)
Step 2:
-20 + 12y Subtract 10 by 30 (10 - 30 = -20)
