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vekshin1
3 years ago
11

Triangle XYZ has vertices X(0,3), Y(2,0) and Z(4,2). if yo reflect triangle XYZ across the line x=4, what will be the coordinate

s of the vertices of the image Triangle X1,Y1,Z1

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

As X' is the reflected point of X(0,3) , so the x co ordinate of X' = 0+8 =8 and here y co ordinate remains same.

So, X'= (8,3)

Like that way, Y' is the reflected point of Y(2,0) and Z' is the reflected point of Z(4,2)

As the point Z is lying on the line x=4 and the reflection is also across that line, so both Z and Z' represent same point.

Y'= (2+4, 0) = (6, 0)

Z' = (4, 2)

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Rufina [12.5K]

Answer:

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Step-by-step explanation:

You should know that a triangle =180 degrees

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nevsk [136]

Answer:

a)

<em>The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

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<em>Alternative hypothesis is Accepted</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>The test statistic value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

Step-by-step explanation:

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Given Population proportion = 30% or 0.30

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sample proportion

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<em>Null hypothesis:- H₀: p = 0.30</em>

<em>Alternative  hypothesis : H₁:p≠0.30</em>

<u><em>Step(ii):-</em></u>

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<em>Test statistic </em>

        Z = \frac{p^{-}-P }{\sqrt{\frac{p(1-p)}{n} } }

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<em>     |Z| = |-2.053| = 2.053</em>

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 1.96</em>

<em>The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

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<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

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<em>The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

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