Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
So based on your question where GD is 1=4 4/3 what could be the value of GH. So first of that you need to consider that point D. is the midpoint of GH and GD = DH right ? So with that information the answer would be 9 1/3
Answer:
93/100
Step-by-step explanation:
Using simple interest, it is found that:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The interest after t years in is modeled by:
In which:
- r is the interest rate, as a decimal.
In this problem:
- A total of $10,000 was invested, hence .
- Two accounts paying 7% and 8% annual interest, respectively, hence .
- The total interest earned for the year was $780, hence
Then:
Considering :
Considering :
Considering :
And:
Then:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
You can learn more about simple interest at brainly.com/question/25296782