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4 years ago

4x-10 3x-22 3x+3 find x when its an equilateral triangle??

Mathematics

1 answer:

zloy xaker [14]4 years ago

8 0

Answer:

x=15.1°

Step-by-step explanation:

Angles in an equilateral triangle adds up to 180°

(4x - 10) + (3x - 22) + (3x + 3) = 180

Putting the like terms together;

4x + 3x + 3x - 10 - 22 + 3 = 180

10x - 29 = 180

10x = 180 - 29 = 151

x = 151/10 = 15.1°

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How do you do these three questions?

mrs_skeptik [129]

Step-by-step explanation:

a) Use ratio test.

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[x²ᵏ⁺¹ / (2(k+1))!] / [x²ᵏ / (2k)!]│< 1

lim(n→∞)│[x²ᵏ⁺¹ / (2k+2)!] × [(2k)! / x²ᵏ]│< 1

lim(n→∞)│x (2k)! / (2k+2)!│< 1

lim(n→∞)│x / ((2k+2) (2k+1))│< 1

0 < 1

The interval of convergence is (-∞, ∞).

b) f(x) = ∑₎₍₌₀°° x²ᵏ / (2k)!

f'(x) = ∑₎₍₌₁°° 2k x²ᵏ⁻¹ / (2k)!

f'(x) = ∑₎₍₌₁°° x²ᵏ⁻¹ / (2k−1)!

f'(x) = ∑₎₍₌₀°° x²ᵏ⁺¹ / (2k+1)!

c) f(x) + f'(x) = ∑₎₍₌₀°° x²ᵏ / (2k)! + ∑₎₍₌₀°° x²ᵏ⁺¹ / (2k+1)!

Notice f(x) is the sum of even terms (2k) and f'(x) is the sum of odd terms (2k+1). Therefore:

f(x) + f'(x) = ∑₎₍₌₀°° xᵏ / k!

f(x) + f'(x) = eˣ

7 0

3 years ago

(-2, 1), (-1, 4), (0, 4), (1, 6), (2, 7) find domain and range

IgorC [24]

Answer:

(-2,-1,0,1,2)

(1,4,6,7)

6 0

2 years ago

Can someone help me please .. I NEED HELP ASAP .

3241004551 [841]

Answer:

no solution

Step-by-step explanation:

no values of x can make this equation true

(please consider marking brainliest <3 )

7 0

3 years ago

Read 2 more answers

Please check answer!

kondor19780726 [428]

What answer do we need to check?

5 0

3 years ago

What is a possible scale factor for the dilation of the quadrilateral ABCD?

slamgirl [31]

Answer:

$\dfrac {1}{2}$

Step-by-step explanation:

According to the diagram

The center is o

Then Distance from O to B'C'=1

Distance from O to BC=1+1=2

$\therefore\sf Ratio\:is\:1:2.$

<h3>More to know:-</h3><h3>Formulas related to surface area and volume:-</h3>

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3 years ago