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:
5x(2 - 3x³)
Step-by-step explanation:
10x-15x^4
The GCF( Greatest Common Factor) of 10x-15x^4 is 5x
Solve:
10x/5x = 2
-15^4/5x = -3x³
Final answer is
5x(2 - 3x³)
<u>Check</u>
5x(2 - 3x³)
distribute
5x(2) + 5x(-3x³)
10x - 15x^4
