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: 
Step-by-step explanation:
Move all terms to one side
Simplify 
Split the second term
Factor out common terms in the first two terms, then in the last two terms.
Factor out the common term 
Answer:
y=2x+1
Step-by-step explanation:
First you have to find the slope:
5-1/2 so 4/2 or 2
Then you write it in point-slope: (I used the point (0,1))
y-1=2x
Simplify than:
y=2x+1
Answer:
Incorrect.
Step-by-step explanation:
Let, the first number is x, and the second number is y. Given, the second number is 125% of the first number. So, the equation will be
y = 1.25 x
Or, y= 5/4x
Now, multiplying it with 4/5, we get, x= 4/5y
Or, x= 0.80 y
But, Brad is saying the first number must be 75% of the second number. But here we see that the first number is 80% of the second number. That's why Brad is incorrect.
Answer:
b = infinity
Step-by-step explanation:
1 − 3(3 + 6b) = −6(3b + 1) − 2
1 - 9 - 18b = -18b + 1 -2
1 - 9 = 1 - 2
-8 = -1
