Answer:
No
Step-by-step explanation:
The reflection (R) around the line y = 1 is not the point illustrated.
Notice that the original point M (5,-2) is THREE (3) units below the line y=1, therefore when doing the reflection, it should end up THREE units above the y=1 line.
That is, it should end up at the point (5,4 ) and not at (5,3) as is shown in the picture.
Answer:
x= 22.5°
Step-by-step explanation:
∠DEA= ∠BAE (alt. ∠s, DE// AB)
Substitute ∠DEA= 2x:
∠BAE= 2x
∠AEB +∠BEF= 180° (adj. ∠s on a str. line)
Substitute ∠BEF= 4x:
∠AEB +4x= 180°
∠AEB= 180° -4x
∠ABE +∠CBE= 180° (adj. ∠s on a str. line)
Substitute ∠CBE= 6x:
∠ABE +6x= 180°
∠ABE= 180° -6x
∠BAE +∠AEB +∠ABE= 180° (∠ sum of triangle)
2x +180° -4x +180° -6x= 180°
-8x +360°= 180°
8x= 360° -180°
8x= 180°
x= 180° ÷8
x= 22.5°
Answer:
The answer is the second one
Answer:
There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.
Step-by-step explanation:
We have to perform a hypothesis test on the difference between means.
The null and alternative hypothesis are:

μ1: mean heat output for subjects with the syndrome.
μ2: mean heat output for non-sufferers.
We will use a significance level of 0.05.
The difference between sample means is:

The standard error is

The t-statistic is

The degrees of freedom are

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.
The t-statistic is below the critical value, so it lies in the rejection region.
The null hypothesis is rejected.
There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.