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:
Step-by-step explanation:
10 pound of apple Sells and 20 pound of Raspberry sells
It looks like the terms are:
(7x2 + 5) and (x - 3)
It's 2.5 bc it goes up by 2.5 everytime
Answer:
The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.
Step-by-step explanation:
Let s = small boxes. Let b = large boxes.
s + b = 17
You can solve for s:
s = 17 - b
You can solve for b:
b = 17 - s
10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.
10s + 24b = 296
Substitute:
10(17 - b) + 24b = 296
170 - 10b + 24b = 296
14b = 296 - 170
14b = 126
b = 126 / 14 = 9 large boxes
Find the number of small boxes, s:
s = 17 - b = 17 - 9 = 8 small boxes
There are 8 small boxes and 9 large boxes.
Proof:
10(8) + 24(9) = 296
80 + 216 = 296
296 = 296
