Sentence 2: left I don't know if that quailifys as a answer...
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:
n=10
Step-by-step explanation:
The last one
x^2-3X-28
Z Z Z Z Z
First, figure out how many total cookies you need. You do this by multiplying the number of friends times the number of cookies each friend will get.
8 x 3 = 24
Then, you take the number of cookies and divide it by the number in each box to find the number of boxes you need.
24/6 = 4
Quan should get 4 boxes.