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:
Calculating 75% of a number is the same as calculating 25% less
Step-by-step explanation:
.75*100=75
.25*100=25
100-25=75
Answer:
20 for de first one and answer (B) for the second.
Step-by-step explanation:
20 for de first one and answer (B) for the second.
hope this helped;3
Answer:
sbshsbsbhshsndjdudbdjdjdjdb
Step-by-step explanation:
shsbshshudhdbdudjdjdsbsbsb
One third is the written form.
Also, just a bit of extra information! The decimal of 1/3 is 0.33(recurring)
Rachel :)
