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
Answer:
no equation given ,pls mention it in the comments
The amount you should deposit is $4709.18
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You want to have $5000 in your savings account in 2 years
∴ A = 5000
∴ t = 2
∵ The account pays 3% annual interest, compounded monthly
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 12 ⇒ compounded monthly
- Substitute these values in the formula above
∴ 
∴ 
∴ 
- Divide both sides by 
∴ P = 4709.18
The amount you should deposit is $4709.18
Learn more:
You can learn more about the compounded interest in brainly.com/question/2514241
#LearnwithBrainly
Answer:
10
Step-by-step explanation:
<u><em>y = -4 </em></u>
<u><em>x = 6 </em></u>
<em><u>x-y = 6-(-4) = 6+4 = 10</u></em>
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Answer:
Hello. The answer is 250.
Step-by-step explanation:
The explanation takes alot of time
The two important tips are
Sum of the interior angles of triangle is 180
And for those which have 4 sides are 360
