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.
Answer:
(a+5)^2=25 means a^2+5^2=25, a^2=25-25 then a^2=√0, a=0
48 divided by 4
Step-by-step explanation:each freind gets 12 grapes
Answer:
x^4 - 2x^3 - 29x^2 - 42x
Step-by-step explanation:
Equal all the zeros to x then move them over.
x=7,x=-3,x=0,x=-2
x-7,x+3,x+0,x+2
Then multiply each factor
(x-7)(x+3)(x)(x+2)
x^4 - 2x^3 - 29x^2 - 42x
The solution to the system of inequalities given is: 
<h3>What is the solutions to a system of inequalities?</h3>
The solution is the set of values that respect all conditions of the system.
The first condition is:
The second condition is:
The intersection of the conditions, which is the solution to the inequality, is:
More can be learned about a system of inequalities at brainly.com/question/3656398
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