To convert a fraction into a decimal divide the denominator into the numerator. true or false
2 answers:
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Answer:
see explanation
Step-by-step explanation:
the exterior angle = 180° - interior angle
(17)
exterior angle = 180° - 144° = 36°
The sum of the exterior angles of a polygon = 360°
Hence the number of sides n is
n = = 10
(18)
exterior angle = 180° - 156° = 24°
n = = 15
(19)
exterior angle = 180° - 160° = 20°
n = = 18
In the following 2 questions we are using that the sum of the interior angles of a quadrilateral is 360°
(20)
summing the angles and equating to 360
2x + 15 + 3x - 20 + x + x + 15 = 360
7x + 10 = 360 ( subtract 10 from both sides )
7x = 350 ( divide both sides by 7 )
x = 50
∠J = 2x + 15 = 100 + 15 = 115°
∠K = 3x - 20 = 150 - 20 = 130°
∠M = x = 50°
∠N = x + 15 = 50 + 15 = 65°
(21)
6x - 4 + 2x + 8 + 6x - 4 + 2x + 8 = 360
16x + 8 = 360 ( subtract 8 from both sides )
16x = 352 ( divide both sides by 16 )
x = 22
∠R = ∠T = 6x - 4 = 132 - 4 = 128°
∠S = ∠U = 2x + 8 = 44 + 8 = 52°
Answer:
Option E - Box plot E
Step-by-step explanation:
Given : Data,
67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19
To find : Which choice below is a boxplot for the following distribution?
Solution :
Step 1- Arranging the data from lowest to highest,
{19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
9th term is 46
∴
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{19,21,35,38,40,40,41,42}
Median of the set is
∴
Upper quartile data set is the median of the lower terms from median
{ 50,54,56,60,62,64,66,67}
Median of the set is
∴
We have plot the box plot attached below.
Our box plot is matched with Box plot E.
Therefore, Option E is correct.
