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:
1. angle b is equal to 47 as it is a corresponding angle to the angle that is 47
2) ASA, 3) SSS 4) ?? not quite sure, it's either AAS or cannot be determined...
5) AAS 6) SAS
Step-by-step explanation:
plz mark as brainliest would be appreciated
Step-by-step explanation:
liters
The capacity of a container is the volume of a container measured in liquid units. Cups, pints, quarts, and gallons are customary units of measurement. Two metric units of capacity are milliliters and liters. A milliliter is equal to about 20 drops from an eyedropper.
2 plus 2 plus 2 = 6 divid it By 3 which equals 2
