As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the li
ne of reflection that maps triangle ABC onto its image?
1 answer:
Answer:
Line of reflection will be y = -2
Step-by-step explanation:
From the picture attached,
Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.
To find the line of reflection,
Coordinates of point C → (7, 0)
Coordinates of point C' → (7, -4)
Line of reflection = line passing through midpoint of the line joining C and C'
Midpoint of the line joining points C and C' =
=
= (7, -2)
Therefore, line of reflection is y = -2.
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Solution :
We know that
At least one mean is different form the others (claim)
We need to find the critical values.
We know k = 3 , N = 35, α = 0.05
d.f.N = k - 1
= 3 - 1 = 2
d.f.D = N - k
= 35 - 3 = 32
SO the critical value is 3.295
The mean and the variance of each sample :
Goust Jet red Cloudtran
The grand mean or the overall mean is(GM) :
= 52.1714
The variance between the groups
= 63.55714
The Variance within the groups
= 20.93304
The F-test statistics value is :
= 3.036212
Now since the 3.036 < 3.295, we do not reject the null hypothesis.
So there is no sufficient evidence to support the claim that there is a difference among the means.
The ANOVA table is :
Source Sum of squares d.f Mean square F
Between 127.1143 2 63.55714 3.036212
Within 669.8571 32 20.93304
Total 796.9714 34