Someone please help me answer this!!!
1 answer:
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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:
17.85 cm
Step-by-step explanation:
1) Area of a sphere formula:
2) Plug in A: 1000 =
3) Simplify: 1000 = 12.56
4) Divide Each Side By 12.56: 79.61783439 =
5) Take the Square Root of 79.61783439 to Solve for : 8.922882628 =
6) Double to get the diameter: 8.922882628*2= 17.84576486
7) Round to the Nearest Tenth: 17.85 cm