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babunello [35]
3 years ago
11

Please answer this question now

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

Measure of arc CD = 112°

Step-by-step explanation:

Since quadrilateral ABCD is a cyclic quadrilateral,

m∠A + m∠C = 180°

129° + m∠C = 180°

m∠C = 180° - 129°

m∠C = 51°

Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]

                           = 2(51°)

                           = 102°

Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°

102° + m(arc CD) + 146° = 360°

m(arc CD) = 360° - (102° + 146°)

                = 112°

Therefore, measure of arc CD is 112°.

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Describe the 2 transformations that occur when the graph of f(x) =x −−√ is transformed to the graph of g(x) = 2x√ +3 .
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Answer:

Dilation followed by Translation.

Step-by-step explanation:

We have the function f(x)=\sqrt{x}.

The new transformed function is g(x)=2\sqrt{x}+3

Now, the transformation applied to f(x) to obtain g(x) are:

1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.

Since, we are dilating the given function by 2 units, the new dilated function becomes 2\sqrt{x}.

2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.

As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes g(x)=2\sqrt{x}+3.

Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.

5 0
2 years ago
Someone please help!
Vlad1618 [11]
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7 0
3 years ago
The basic sticker price on Mr. Feldman's new car was $3200, The options he desired cost an additional $1800. What percent of the
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QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assum
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Answer:

n=601

Step-by-step explanation:

Formula used:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Solution:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

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Here on using the table

z(\frac{\alpha }{2}) =1.959963985

Also,

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A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red, and 1 yellow
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