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:
ur an idiot
Step-by-step explanation:
1218/2= 609
609/14= 43.5
I believe the answer is 43.5
Answer: D.23 x 305 = n, n = 7015
Step-by-step explanation:
23 x 305 = 7015
7015 square feet
Answer:
x = 45
Step-by-step explanation:
Straight line has 180 degrees; so if you add all the angles up:
2x + x + x = 180
4x = 180
x = 45 degrees
