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Dmitriy789 [7]
3 years ago
5

For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'

with ∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2 , which confirms that ΔABC∼ΔA'B'C by the AA criterion? A) ∠A = ∠A' = 70° and ∠B = ∠B' = 60° B) ∠A = ∠A' = 35° and ∠B = ∠B' = 30° C) ∠B = ∠B' = 54° and ∠C = ∠C' = 40° D) ∠A = ∠A' = 76° and ∠C = ∠C' = 53°
Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
If the triangles ABC and A'B'C' are similar, then 
angle A = angle A'
8x-10 = 6x+10
8x-6x = 10+10
2x = 20
x = 20/2
x = 10

So angle A is
angle A = 8x-10
angle A = 8*10-10
angle A = 80-10
angle A = 70
making that the measure of angle A' as well

This is why the answer is choice A
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Answer:

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Step-by-step explanation:

Centre (h,k) = (0,-8)

radius (r) = 9

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(x - 0)² + (y + 8)² = 9²

x² + (y + 8)² = 81

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Increase £15837.77 by 18.5%
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if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.

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A pole is centre of a circular pond of diameter 14m. Total height of a pole is 20m and its part inside a water is 3.5m. If a man
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Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the ro
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<u>Answer-</u>

\boxed{\boxed{L=\dfrac{g}{4\pi^2 f^2}}}

<u>Solution-</u>

The equation for time period of a simple pendulum is given by,

T=2\pi \sqrt{\dfrac{L}{g}}

Where,

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g = Acceleration due to gravity.

Frequency (f) of the pendulum is the reciprocal of its period, i.e

f=\dfrac{1}{T}\ \Rightarrow T=\dfrac{1}{f}

Putting the values,

\Rightarrow \dfrac{1}{f}=2\pi \sqrt{\dfrac{L}{g}}

\Rightarrow (\dfrac{1}{f})^2=(2\pi \sqrt{\dfrac{L}{g}})^2

\Rightarrow \dfrac{1}{f^2}=4\pi^2 \dfrac{L}{g}

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