My Answer is 10
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The answer to all of them is yes.
6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)
7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL
8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)
9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)
10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)
13) The lengths of AB and AC combined equal the length of AC using the distance formula.
14) Two sides of triangle ABC have equal length using the distance formula.
15) All four sides of ABCD have the same length using the distance formula.
16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.
Answer:
99% confidence interval for the average start up cost is [76.575 , 123.425].
Step-by-step explanation:
We are given that of the 14 stores Victoria investigated, the average start up cost is 100 thousand dollars with a standard deviation of 29.1 thousand dollars.
So, the pivotal quantity for 99% confidence interval for the population average start up cost is given by;
P.Q. =
~ 
where,
= sample average start up cost = 100 thousand dollars
= sample standard deviation = 29.1 thousand dollars
n = sample of stores = 14
= population average start up cost
<em>So, 99% confidence interval for the average start up cost, </em>
<em> is ;</em>
P(-3.012 <
< 3.012) = 0.99
P(-3.012 <
< 3.012) = 0.99
P(
<
<
) = 0.99
P(
<
<
) = 0.99
<u>99% confidence interval for</u>
= [
,
]
= [
,
]
= [76.575 , 123.425]
Therefore, 99% confidence interval for the population average start up cost for a candy store is [76.575 , 123.425].
Answer:
70 degrees.
Step-by-step explanation:
<u>Erin's Necklace is 47.6 inch long.</u>
Step-by-step explanation:
Hannah 's necklace is 10 1/5 inches long which means = (50+1)/5 =<u> 51/5</u>
Erin's necklace is 2 2/3 times = (6+8)/3 =<u> 14/3 </u>longer than Hannah's
Solving for this :
<u>Erin's necklace </u>= 
⇒ 
⇒ 47.6 Inch
<u>Erin's Necklace is 47.6 inch long.</u>
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