Answer:
The group with 4 people gets a greater amount of pizza because each person will get an equal amount if the pizza is cut into 8 slices (4 slices each)
The group with 5 each person would get 3 pieces and one of them would get an extra slice so they would get 4 slices
Step-by-step explanation:
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],
![x+4=3y](https://tex.z-dn.net/?f=x%2B4%3D3y)
![y+4+4=3y](https://tex.z-dn.net/?f=y%2B4%2B4%3D3y)
![8=2y](https://tex.z-dn.net/?f=8%3D2y)
![y=4](https://tex.z-dn.net/?f=y%3D4)
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:
3x^2 + 12x + 4y^2 - 8y = 32
Step-by-step explanation:
3(x^2+4x)+4(y^2-2y)=32
At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:
or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32
or, 3x^2 + 12x + 4y^2 - 8y = 32
Since the equation does not have anything to add or deduct, therefore, it is the answer.
A, C, D
The slopes might be the same
All right triangles are congruent,
The corresponding parts or congruent triangles are congruent
Answer:
Step-by-step explanation:
No, because 9 > 3+4