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
Answer:
5x +6
Step-by-step explanation:
do 2×2
add 2
get 5x +6
Answer:
(h o g)(5) = 20
Step-by-step explanation:
(h o g)(5) = h(g(5)) <em>This is two ways of writing the expression</em>
g(x) = 
h(x) = 3x + 5 <em>g(x) and h(x) are your "plug-ins" for the expression</em>
g(5) = 
= 
= 5 <em>This is how you would solve for plugging in 5 to g(x)</em>
<em>Whatever you get for g(5) {the answer to it} is what you will be plugging into h(x); x being equal to g(5).</em>
h(5) = 3(5) + 5 = 15 + 5 = 20
She has 7 soccer trophies.
So lets assume she wants to display it in a straight line:
The 1st has 7 ways
The 2nd has 6 ways
The 3rd has 5 ways
The 4th has 4 ways
until the last.
Total = 7 × 6 ×5 × 4 × 3 × 2 × 1 = 5040 ways.
Answer:
21.98
Step-by-step explanation:
