Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² = √(6-x)² + (2)²
√x² -4x +4 + 100 = √x²-12x+36 + 4
√x² -4x + 104 = √x²-12x+40
square both sides,
x² -4x + 104 = x²-12x+40
x² -4x - x²+ 12x = 40 - 104
8x = -64
x = -64/8
x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2) = M(4,6)
(-8+a/2, b/2) = M(4,6)
Comparing;
-8+a/2 = 4 ; b/2 = 6
-8+a = 4*2 ; b = 6*2
-8+a = 8 ; b = 12
a = 8 +8
a = 16
Hence, C(16,12)
Answer:
Step-by-step explanation:
12) Decrease in miles = 22,250 - 14,500 = 7750 miles

= 34.83%
13) Decrease in speed = 40 - 25 = 15 mph

= 37.5%
The z-score of the sale of mobile phones on that day is 1.75
Step-by-step explanation:
The formula of z-score is z = (x - μ)/σ, where:
- x is the score
- μ is the mean
- σ is the standard deviation
∵ The mean sale was 45
∴ μ = 45
∵ The standard deviation was 4
∴ σ = 4
∵ 52 mobile phones were sold on a particular day
∴ x = 52
To find z-score of the sale of mobile phones on that day substitute the values of x, μ, and σ in the formula of z-score
∵ 
∴ 
∴ z = 1.75
The z-score of the sale of mobile phones on that day is 1.75
Learn more:
You can learn more about z-score in brainly.com/question/7207785
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Answer: 115 miles
Step-by-step explanation:
just do 60+55 miles = 115