The triangles here are each obtained by applying rigid motions to triangle 1.

1 answer:

5 0

Rigid transformation is a transformation that does not change the measure of the side lengths and the angles.

Triangles 3, 5 and 7 are translations of triangle 1
Triangles 2, 4 and 6 are not translations of triangle 1

From the question (see attachment), we have the following observations

Triangles 3, 5 and 7 have the same orientation as triangle 1
Triangles 2, 4 and 6 are reflected versions of triangle 1

Translation and reflections are both rigid transformation.

However, when a shape is translated, the resulting shape must have the same orientation as the original shape.

This means that:

Triangles 3, 5 and 7 are translations of triangle 1
Triangles 2, 4 and 6 are not translations of triangle 1

Read more about rigid transformations at:

brainly.com/question/1761538

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The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a norma

kotegsom [21]

Answer:

Test statistic = 3.1587

Step-by-step explanation:

We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).

Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.

So, Null Hypothesis, $H_0$ : $\mu$ = 0.8 { claim of 0.8 A is not low}

Alternate Hypothesis, $H_1$ : $\mu$ > 0.8 { claim of 0.8 A is too low}

Now, the test statistics used here will be;

T.S. = $\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, X bar = sample mean = 1.20 A

s = sample standard deviation = 0.42 A

n = sample size = 11 motors

So, Test statistics = $\frac{1.20 - 0.8}{\frac{0.42}{\sqrt{11} } }$ ~ $t_1_0$

= 3.1587

At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .

Therefore, we conclude that Toy-lot claim of 0.8 A is too low.

8 0

4 years ago

Write an equation in the form y = mx + b for the line that has a slope of ¼ and contains the point (12, 3).

Alborosie

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 12 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies \cfrac{1}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{1}{4}(x-12)
\\\\\\
y-3=\cfrac{1}{4}x-3
\implies 
y=\cfrac{1}{4}x$

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3 years ago

A student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?

Zina [86]

Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert $\frac{44}{55}$ into a percentage. $\frac{44}{55}$ can be simplified to $\frac{4}{5}$ which is also 80%.