So product means multiplication so -2*(x-6) > -18 so divide by -2 on both sides to get x-6<9 because when you multiply a negative the sign swaps directions and then add 6 to get x<15
-x + 5y = 8
multiply this equation by 3
-3x + 15y = 24
now add it to the other equation ( elimination)
-3x + 15y = 24
3x + 7y = -2
-----------------------
0x + 22 y = 22
divide each side by 22
y =1
substitute into -x + 5y =8 to find x
-x + 5(1) = 8
-x + 5 = 8
-x =3
divide by -1
x =-3
Answer (-3,1)
Choice A
Answer:
In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.
Step-by-step explanation:
Any of these would work because you can use two different methods to telling that these are congruent triangles.
The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.
The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.
The answer is B for that question.
