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:
transpose 2 towards 4096
Step-by-step explanation:
2048 Answer
Answer:
vvvvv
Step-by-step explanation:
I suspect two 8 means 8x2, but if it means 2+8, I'll add another answer.
1. 8x2= 16 + 5/6(.83) = 16.83 = 50-16.83= 33.17
ORRRRR
2. 2+8=10+.83= 10.83 = 39.17
Answer:
49.735919716217
Step-by-step explanation:
Area =
C2 / 4π
Answer:
-28 = x
Step-by-step explanation
[5x + 20] + [4x - 8] = 180
9x + 12 = 180
- 12 -12
______________
9x = 168
18⅔ = x
m∠EBC = 5[18⅔] + 20 = 113⅓
93⅓
You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>
I hope this is correct, and as always, I am joyous to assist anyone at any time.
