Answer:
Step-by-step explanation:
ΔVWX is an isosceles triangle.
∠V ≅∠W = 20
20 + 20 + ∠X = 180
∠X = 180 - 40
∠x = 140
In ΔPQR
∠P + 20 + 80 = 180 {Angle sum property of triangle}
∠P + 100 = 180
∠P = 180 - 100
∠P = 80
In ΔSTV is an isosceles triangle.
∠S ≅ ∠T = 80°
∠V + 80 + 80 = 180
∠V + 160 = 180
∠V = 180 - 160
∠V = 20°
In ΔPRQ & ΔSTV
∠P ≅ ∠S = 80°
∠R ≅ ∠T = 80°
∠Q ≅ ∠v = 20°
ΔPRQ ` ΔSTV are similar by AAA congruent
Stratified random sampling is used to subdivided into groups by volume of sales.
According to the statements
Manufacturers are subdivided into groups by volume of sales. and for this Stratified random sampling is used.
Stratified random sampling is the technique used divide the population can be partitioned into subpopulations.
Thus, Stratified random sampling is used to subdivided into groups by volume of sales.
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Step-by-step explanation:
y and x are proportional:
y = kx
When x is 29, y is 275.5.
275.5 = 29k
k = 9.5
y = 9.5x. When y is 408.5:
408.5 = 9.5x
x = 43
A relationship that can be modeled as a line that passes through the origin (y = kx) is a proportional relationship.
Answer:
14.29%
Step-by-step explanation:
Let's do the count for Test #1:
2 + 5 + 6 + 1 = 14 total students
Out of which, below 70 is 2 people [only the leftmost bar]
Let's do the count for Test #2:
2 + 3 + 5 + 4 = 14 total students
Out of which, below 70 is again 2 people [only the leftmost bar]
So, to find percentage of people below 70, we divide the below 70 number of people with total number of people.
(2+2)/(14+14) = 4/28 = 14.29%
