Answer:
g = 3
Step-by-step explanation:
12−1−7−g=1
Step 1: Simplify both sides of the equation.
12−1−7−g=1
12+−1+−7+−g=1
(−g)+(12+−1+−7)=1(Combine Like Terms)
−g+4=1
−g+4=1
Step 2: Subtract 4 from both sides.
−g+4−4=1−4
−g=−3
Step 3: Divide both sides by -1.
−g
/−1
=
−3
/−1
g=3
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
(x-1)(x-1) + (y+2)(y+2) = 3
x2 -1x -1x + 1 + y2 +2y +2y +4=3
x2 +y2 -2x +4y + 2=0
A is the answer
Alternate Interior Angles. You’re welcome
