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:
The opponents won by 1 points
Step-by-step explanation:
Your team (10*3)+(8*2)+(12*1)=58
Opponents (8*3)+(12*2)+(11*1)=59
Your equation is a little messed up comment me the equation you need help with
Answer:
-the ratio of the number of tacos Jackie made to the number of tacos Marta made
-the ratio of the number of tacos Marta made to the number of tacos Manny made
-the ratio of the number of tacos Manny made to the number of tacos Marta made
-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Step-by-step explanation:
There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!
You can solve this by doing 8×8×6 which gives you 384. Since we are finding the volume, you would do length times with times height. Hope this helps :-)
