According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
Answer:
exact Form:(0,),(1,3)
Equation Form: ( 0, )
x=1 y=3
Step-by-step explanation:
Answer:
(1,0)
Step-by-step explanation:
Absolute value is represented by using these bars → ║.
║= number of units from 0.
This equation says that whatever number is in the absolute value bars , x , is greater than y.
Answer:
Step-by-step explanation:
Let price of milgrade gas be x and price of lawnmower gas be y.
18x + 5y=59.51
14x+y=39.75
Isolate one variable and substitute to solve for other variable.
