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.
C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio
I hope this helps you
perpendicular lines slopes multiplication -1
M1×M2= -1
1/2×M2= -1
M2= -2
Answer:
degree 5
Step-by-step explanation:
the degree of a polynomial is determined by the term with the largest exponent and is the value of the exponent.
is the term with the largest exponent of 5
degree of polynomial is 5
Answer:
B. City P is above sea level and City R is below sea level
Step-by-step explanation:
A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.
C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.
D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.
