Answer:
(2, 14), (3, 7)
Step-by-step explanation:
The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.
Corresponding angles are ...
Angle 2 and Angle 14 . . . . . . numbers differ by 12
Angle 3 and Angle 7 . . . . . . . numbers differ by 4
_____
If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...
northwest: {1, 5, 9, 13}
northeast: {2, 6, 10, 14}
southeast: {3, 7, 11, 15}
southwest: {4, 8, 12, 16}
Any pair of numbers from the same set will be corresponding angles.
I would say either a or b
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
Where
Lower quartile
Upper quartile
From the attached plots, we have:
Republican
So:
Democratic
So:
We have:
--- Republican
--- Democratic
<em>Hence, (a) is true</em>
<em>distributed =2/3 on left side</em>
-20x + 5 ≤ 3x - 15
<u> -3x </u> <u>-3x </u>
-23x + 5 ≤ -15
<u> -5</u> <u> -5 </u>
-23x ≤ -20
x ≥ <em>divided by a negative so the symbol reversed </em>
******************************************************
2x² + 2 = 3x
2x² - 3x + 2 = 0
2x² - 3x = -2
2(x² - + __) = -2 + (2)(___)
2(x² - ) = -2 +
2(x - )² = -2 +
2(x - )² = -2 +
2(x - )² = -2 +
2(x - )² = +
2(x - )² =
(x - )² =
x - = +/-
x - = +/-
x = + , x = -
x = , x =
To solve this problem, we simply have to use ratio and
proportion.
We know that 15 gallons is consumed in 10 minutes
therefore the conversion factor is:
15 gallons / 10 minutes
Therefore in 77 minutes:
water consumed = (15 gallons / 10 minutes) * 77 minutes
<span>water consumed = 115.5 gallons</span>