Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
 
        
                    
             
        
        
        
The answer to your question is n is equal to 70
        
                    
             
        
        
        
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
 
        
             
        
        
        
I suppose you mean

Recall that

which converges everywhere. Then by substitution,

which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives

(starting at  because the summand is 0 when
 because the summand is 0 when  )
)
b. Naturally, the differentiated series represents

To see this, recalling the series for  , we know
, we know

Multiplying by  gives
 gives

and from here,


c. This series also converges everywhere. By the ratio test, the series converges if

The limit is 0, so any choice of  satisfies the convergence condition.
 satisfies the convergence condition.
 
        
             
        
        
        
You could do a few (3-4)milk  carton