Step-by-step explanation:
angle A and Angle D are congruent. as are Angle C and Angle F.
because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.
I couldn't read the 3rd question. if you post as a comment I can look at it better.
Answer:
value of x = 19°
Step-by-step explanation:
we know that vertical opposite angles are equal hence Angle 5 = Angle 7
so,
- 5x+10 = 105°
- 5x = 95°
- x = 19°
hence value of x = 19°
Answer:
FG = 20 in
Step-by-step explanation:
∵ ABCD ≈ EFGH
∴ AD/EH = BC/FG
∵ AD = 45 in
∵ EH = 60 in
∴ BC = 15 in
∴ 45/60 = 15/FG
∴ FG = (60 × 15) ÷ 45 = 20 in
Rate of change
find a2 and a4
a2=27(1/3)^(2-1)=27 times 1/3=9
a4=27(1/3)^(4-1)=27 times 1/27=1
rate of change=(a4-a2)/(4-2)=(1-9)/(4-2)=-8/2=-4
average rate of change is -4
Can u give me brainliest hehrhe