<span>B. 4x^3-13x^2+5x is the only and unique answer </span>
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and (Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
Right here:)))))))))))))))))
Nearest 1-: 47397
Nearest 10: 47400
Nearest 100: 47400
Nearest 1k: 47000
Nearest 10k: 50000
Nearest 100k+: 0
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%