It's an isosceles triangle so angles A and BCA are congruent.
Angle BCA is the supplement of BCD, so 180-109 = 71.
Angle A is congruent to that, so A=71 degrees.
Let's see if we can get that in the format they want, kind of as a proof.
1. ∠BCD=109° Reason: Given
2. AB ≅ BC Reason: Given
3. ∠BCA = 71° Reason: Linear pairs are supplementary
4. ΔABC is isosceles. Reason: Definition of isosceles
5. ∠A ≅ ∠BCA Reason: Isoceles triangle theorem
6. ∠A = 71° Reason: Def congruent
Answer: 71 degrees
Answer:
54/3
Step-by-step explanation:
Differentiate using the exponential rule, which determines that
is
when a=3.

Therefore, the correct option is "E". You just have to remove the parentheses.

Answer:
$72
Step-by-step explanation:
one lb costs $12 so just multiply it by 6
Answer:
Step-by-step explanation:
Given that EM company produces two types of laptop computer bags.
Let regular version produced be R and deluxe version be D
Total capital required
= 
Total labor hours required
=
Sales revenue = 
Solving the two constraints we have
10D
140
D can be atmost 14 and hence R can be 49
Otherwise if D is made 0, R = 65 maximum
If R is made 0, D maximum is 46
Thus corner points are (65,0) (0.,46) or (49,14)
Sales revenue for (65,0) = 2990
(0,46) is 2530
(49,14) is 3024
Maximum when R =14 and D is 49