What is the factored form of the polynomial? x2 − 15x + 36
2 answers:
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Answer:
Interquartile range => 7
Third quartile => 22
Range => 13
First quartile => 15
Step-by-step explanation:
Order your data set, from the least amount to the highest amount:
$12, $14, $15, $15, $15, $15, $16, $22, $24, $25
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
Q1 = the middle value of the lower part of the data set, from the median to your left.
Q3 = the middle value of the upper part of the data set, from the median to your right.
The median lies between the 5th and 6th value that is enclosed in the parenthesis below:
$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25
The median divides the data set into upper and lower part.
Median =
First quartile: Q1 = $15
Third quartile: Q3 = $22
IQR = $22 - $15 = $7
Range = highest amount - least amount = 25 - 12 = $13
Answer:
Angle-Angle-Side (AAS)
Step-by-step explanation:
Given triangles; ΔABD and ΔCBD
<A = <C = (right angle property)
AB ║ DC (given)
Then,
DA ║ CB
<B ≅ <D (congruent property)
DB ≅ BD (similarity property)
<D + <B = <B + <D (complementary angles, and property of triangles)
Therefore by Angle-Angle-Side (AAS),
∆ABD ≅ ∆CBD
