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4 years ago

11

In the diagram, m ∠ACB = 65 m ∠ECA =

1 answer:

Illusion [34]4 years ago

8 0

M <ECA = 180 - <span>m ∠ACB = 180 - 65 = 115

answer
</span><span>
m ∠ECA = 115</span>

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Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

3 0

3 years ago

What is the equivalent value of 1/3×(−15)

Leokris [45]

What is the equivalent value of 1/3×(−15)
Answer: -5x

6 0

3 years ago

Mrs. P made a large batch of clay. She gave out all of the clay in equal parts to 6 teachers. Each of those teachers gave out al

coldgirl [10]

Answer:

36 student gets the equal amount of Clay by Mrs p

4 0

3 years ago

Read 2 more answers

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

nadya68 [22]

Well 3x(pumpkin) + 1x ( beans ) =4x so 4x=76
divide 76 by four to get x=19
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7 0

3 years ago

Need help please???

dedylja [7]

Answer:

y= $\frac{3}{5}x$ $-\frac{26}{5}$

Step-by-step explanation:

x₁ y₁ m= slope

(2, -4) point-slope equation: y - y₁ = m( x - x₁)

y-(-4) = $\frac{3}{5}$ ( x - 2)

y + 4 = $\frac{3}{5} x$ - $\frac{6}{5}$

y = $\frac{3}{5}x$ - $\frac{6}{5}$ - $\frac{20}{5}$

y = $\frac{3}{5} x$ - $\frac{26}{5}$

7 0

3 years ago