(1)
we are given
U is the midpoint of RS
and we have

so, we can use formula

we can plug values

............Answer
(2)
V is the midpoint of ST
so, we get

now, we can plug values

divide both sides by 2
.........Answer
(3)
now, we can find y
W is the midpoint of TR
so, we get

we can plug value

divide both sides by 3

(4)
we can see that
triangles URW and RST are similar
so, their sides ratios must be equal
so, we get

we can plug values



...........Answer
(5)
we can see that
triangles SUV and RST are similar
so, their sides ratios must be equal
so, we get

now, we can plug values


.............Answer
<span>(x + 2)</span>·<span>2 = a
(1 + 2)</span>·2 = a
3·2 = a
a = 6
Answer: Postulate 1: -4,-4
Postulate 2: D. The postulates guarantee that unique lines can be draw that they will meet at a unique point.
Step-by-step explanation:
Answer:
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $393.50
Standard deviation r = $50.30
Number of samples n = 25
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
$393.50+/-1.96($50.30/√25)
$393.50+/-1.96($10.06)
$393.50+/-$19.7176
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)