Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
Compound Interest= $3440
Final Amount= $5440
Step-by-step explanation:
Compound Interest's formula= P(1+r/100)^n
where P is Principal, r is Rate then n is Years
So in this case,,2000(1+.72)^1 = $3440
Hence, Total Amount = Principal+Interest
therefore T.A= $2000+$3440
T.A=$5440
Thanks... Subjected to Review
Answer:
Relation between Moon and Tide Cycles
Tide Cycles as they relate to Moon Cycles
Correlation between Shifts in Moon Cycle and Shifts in Tides
Step-by-step explanation:
Your graph here is a graph of a relation, as most graphs / all functions are. So, you should include what you are comparing (full moons and tide heights).
Your x-axis is already shown to be measured by days, but you might want to include a more direct explanation {if you think that is what is being asked of you here}
possibly: Day of Month
and your y-axis is already shown to be measured in tide height, but you could write:
Height of Tide
to make it more formal {that is probably not expected of you}