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svlad2 [7]
3 years ago
10

Triangle ABC is transformed to create triangle MNL. 2 triangles have identical side lengths and measures. The second triangle is

shifted down and slightly to the right. Which statement is true? The transformation is rigid because corresponding side lengths and angles are congruent. The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. The transformation is nonrigid because the two triangles have different names. The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.
Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

Answer:

A. The transformation is rigid because corresponding side lengths and angles are congruent.

Step-by-step explanation:

just took the quiz

krok68 [10]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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Evaluate each expression |18|
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Translate the sentence into an inequality twice the difference of a number and 6 is at least -22 use the variable x for the unkn
almond37 [142]

Answer:

2(n - 6) >= 22

Step-by-step explanation:

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2 years ago
An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
2 years ago
Plz help me 3(x+1)=5+x
valkas [14]

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

7 0
3 years ago
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