C is the circumcenter of isosceles triangle ABD with vertex angle ABD. Does the following proof correctly justify that triangles
ABE and DBE are congruent? 1. It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. 2. It is given that is the circumcenter of triangle ABD, making segment BE a median 3. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. 4. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property 5. Triangles ABE and DBE are congruent by HL. E There is an error in line 1, segments AB and BD are given to be congruent. There is an error in line 2, segment BE should be a perpendicular bisector. There is an error in line 4, segment BE is not a shared side. The proof is correct
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
∠F=90°, FD = 63 feet, and DE = 71 feet.
That's a right angle triangle also.
measure of ∠E to the nearest degree
sin∠E = 63/71
sin∠E = 0.8873
∠E= sin^-1 0.8873
∠E= 62.5°
The annuity could provide $221.19 each month
Step-by-step explanation:
The ANNUITY FORMULA is , where
1. is the balance in the account after t years
2. d is the regular deposit (the amount you deposit each year or month
or .........)
3. r is the annual interest rate in decimal
4. n is the number of compounding periods in one year
5. t the number of years
∵ Loren knows that he will have $500,000 when he retires
∴ = $500,000
∵ he sets up a payout annuity for 30 years in an account paying 10%
interest
∴ t = 30 years
∴ r = (10/100) = 0.1
∵ The annuity could provide each month
∴ n = 12
Substitute the values above in the formula
∴
∴
∴ 500,000 = d [2260.487925]
- Divide both sides by 2260.487925
∴ d = $221.19
The annuity could provide $221.19 each month
Learn more:
You can learn more about deposit in brainly.com/question/8782252
#LearnwithBrainly