(30 points) The coordinates of the vertices of quadrilateral JKLM are J(−3, 2) , K(3, 5) , L(9, −1) , and M(2, −3) .
Which statement correctly describes whether quadrilateral JKLM is a rhombus?
Quadrilateral JKLM is not a rhombus because there is only one pair of opposite sides that are parallel.
The answer is C.(There are 8 bacteria cells after 15 minutes.)
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Answer with explanation:</h2>
A. For males, Third quartile =14, First quartile = 3 (approx)
IQR = Third quartile - First quartile
= 14-3 = 11
B. For males, Median = 12
For females, Median = 17
The difference between the median values = 17-12=5
C. The mean would be a better measure of center for females because the data has no outliers.
The median would be a better measure of center for males because the data has outliers.
D. Reason for outlier: A large number of males gone for movie which is extreme value for the remaining values.
Answer:
1.05
Step-by-step explanation:
Waist to Hip Ratio would be the ratio of the waist measurement to the hip measurement.
The waist measurement is 42 inches and the hip measurement is 2 less; this makes the hip measurement 42-2 = 40 inches.
This makes the WHR 42/40 = 1.05.
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Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
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Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
