The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.
If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.
side a = side b
Using Pythagorean theorem, c^2 = a^2 + b^2
h^2 = a^2 + b^2 a = b
h^2 = 2a^2
a = h/√2
If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.
ΔABC and ΔADE are similar triangles.
a : b : h = a/2 : 4 : h/2
If a/2 = a/2, then b/2 = 4.
b/2 = 4
b = 8
If a = b, then a = 8.
If a = h/√2, then
8 = h/√2
h = 8√2
Solving for the perimeter,
P = a + b + h
P = 8 + 8 + 8√2
P = 16 + 8√2
P = 27.3137085
To learn more about midsegment: brainly.com/question/7423948
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The Price of Car A rounded to the Nearest £100 is £12400
The Price of Car B rounded to the Nearest £100 is £16800
The Price of Car C rounded to the Nearest £100 is £14600
Difference between the Rounded Price and Original Price of Car A :
⇒ (£12400 - £12380) = £20
Difference between the Rounded Price and Original Price of Car B :
⇒ (£16800 - £16760) = £40
Difference between the Rounded Price and Original Price of Car C :
⇒ (£14600 - £14580) = £20
From the above, We can Notice that :
The Price of Car B changes by the greatest amount.
Answer:the answer is C
Step-by-step explanation:
If she got 150 points remove the 0 zero and do 3x5 you get 15 then add back the zero
Answer:
The domain is (x : 2 < x < 6}
The range is {y : 160 < y < 480}
Step-by-step explanation:
Assume that y is the total charge for x hours
∵ He charges $80 an hour
∵ The number of hours is x
∴ y = 80 x
x is the domain and y is the range
∵ He works between 2 to 6 hours a day
- That means x is between 2 and 6
∴ 2 < x < 6
∵ x represents the domain
∴ The domain is {x : 2 < x < 6}
Lets find the value of y at x = 2 and x = 6 to find the range
∵ x = 2
∴ y = 80(2)
∴ y = 160
∵ x = 6
∴ y = 80(6)
∴ y = 480
- That means y is between 160 and 480
∴ 160 < y < 480
∵ y represents the range
∴ The range is {y : 160 < y < 480}
Answer:
the answer is all of the stores( store A, B, C, D)
Step-by-step explanation:
$8.43 divided by 3 is 2.81 per pound
$9.51 divided by 3 is 3.17 per pound
$2.58 divided by 3 is 0.86 per pound
$5.19 divided by 3 is 1.73 per pound
and 3.49>3.17>2.81>1.73>0.86
