Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
Answer:
The 95% confidence interval for the measurements is [48.106, 53.494].
Step-by-step explanation:
The average M of this sample is

The standard deviation s of this sample is

![s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%2852-50.8%29%5E2%2B%2848-50.8%29%5E2%2B%2849-50.8%29%5E2%2B%2852-50.8%29%5E2%2B%2853-50.8%29%5E2%5D%7D)
![s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%281.44%29%2B%287.84%29%2B%283.24%29%2B%281.44%29%2B%284.84%29%5D%7D%3D%5Csqrt%7B%5Cdfrac%7B18.8%7D%7B4%7D%7D%3D%5Csqrt%7B4.7%7D%5C%5C%5C%5C%5C%5Cs%3D2.168)
The degrees of freedom are

Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.
The margin of error of the CI is:

Then, the lower and upper bounds of the CI are:

The 95% confidence interval for the measurements is [48.106, 53.494].
After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.
<u>Solution:</u>
Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by
that is 33.5%.
Let’s assume initial value be represented by variable x.

Now there is decrease of 33.5%



Hence after 75% increase followed by a
decrease the net increased is 16.375%.
The slopes of perpendicular lines are negative reciprocal to each other
ex. the negative reciprocal to 5/2 is -2/5
once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer
point slope

slope intercept form
Answer:
x = 14
y = 30
Step-by-step explanation:
x + 10 = 3x - 18
x = 3x - 18 - 10
x = 3x -28
x - 3x = -28
-2x = -28
x = 14
(3x - 18) + (6y - x - 10) = 180
3x - x -18 - 10 + 6y = 180
2x - 28 + 6y = 180
2x + 6y = 180 + 28
2(14) + 6y = 208
6y = 208 - 28
6y = 180
y = 30
I hope this helps!