Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
For a 7*7=49 so sqrt(49)=7
6*6=36 so sqrt(36)=6
and since sqrt(x) is am increasing function then
6 < sqrt(42) <7
you do the same for b but with 4 values :
like 4*4*4= 64
and 3*3*3=27
Get the variable on one side and the numbers on the opposite side.
5x + 12 = x - 8
Let's get rid of that x on the right-hand side of the equation.
We can do this subtracting x from each side of the equation.
(5x - x) + 12 = (x - x) - 8 =
4x + 12 = -8
Let's take out the 12 so that the 4x can be alone.
We can do that by subtracting 12 from each side
4x + (12 - 12) = -8 - 12 =
4x = -20
And finally, divide the both sides by the coefficient of the 4x term. Which is 4.
4x / 4 = -20 / 4 =
x = -5
So, x is equal to -5.
Your third option would be best.
(3)(17.25)=51.75
