five billion seventy million seventy thousand seven hundred and eight
Answer:
7m^2 - 11m - 2
Step-by-step explanation:
Subtract (-3m^2 + 10m + 4) from 4m^2 - m + 2:
4m^2 - m + 2
- (-3m^2 + 10m + 4) Now distribute the negative sign:
4m^2 - m + 2
+ 3m^2 - 10m - 4
--------------------------
7m^2 - 11m - 2 is the final 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:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
