Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
The Answer is 2/3
Steps: 1/4(1-(2/3^2+1/3)
Answer:
x=3
Step-by-step explanation:
Because the line lies on x =3
Let x be the amount invested at 7% and y the amount invested at 6%
We know that the yearly interest earned = 0.07(x) and 0.06(y)
x+y =4500
0.07x +0.06 y =290
Solving the equations will give , x = $2,000 and y=$2,500