Proof:
Given: Isosceles trapezoid TRAP with TR=PA
Prove: Angle RTA = angle APR

Answers

Answer 1
Answer: The answer is in the attachment

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Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.
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If point A is between B and C then BA + AC = BC. always sometimes never

Answers

Always

Anytime point A is on line BC, AB+BC=BC

The answer is Always

Step-by-step explanation:

Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). What is the margin of error?A) 2.5 years
B) 4.9 years
C) 5 years
D) 6.7 years

Answers

The correct answer for the question that is being presented above is this one: "D) 6.7 years." Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). The margin of error is 6.7  years

Answer: it’s b

Step-by-step explanation:

Just did it

A loan of P500,000 was signed by Liza who promised to pay it at the beginning of each month for 5 years. If money is worth 12% compounded monthly, what will be the total sum paid by Liza?

Answers

Answer:

3,604,389

Step-by-step explanation:

Monthly payment P = (a)/([(1+r)^(n) - 1] / [r(1+r)^(n)] )

where a = total loan amount, r = periodic rate, n = number of payment periods

a = 500,000 ; r = 0.12 ; n = (5 x 12) = 60 months

P = (500000)/([(1+0.12)^(60) - 1] / [0.12 (1+0.12)^(60) ] )

P = (500000)/((896.597) / (107.712))

p = 60,073.151

Total amount paid = 60073.151 x 60 = 3,604,389

Lorenzo is a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year, what was his rate of commission?A. 33%

B. 28%

C. 46%

D. 61%

Answers

Since, a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year. We have to evaluate the rate of commission.

Let the rate of commission be 'r%'.

Therefore,

24,650 + (87,100 of r%) = 53,393

24,650 +(87,100 * (r)/(100))= 53,393

(87,100 * (r)/(100))= 53,393-24,650

(87,100 * (r)/(100))= 28,743

87,100 * {r}= 28,743 * 100

87,100 * {r}= 2874300

{r}= (2874300)/(87100)

r  = 33%

Therefore, the rate of commission is 33%.

33%
The Answer is Choice D.

What is the value of z so that -9 and 9 are both solution of x^2+z=103-22
3
22
184

Answers

22 because -9 and 9 squared is 81 subtract that from 103

Answer:

22

Step-by-step explanation:

Let t = 5. What is the value of 6 · 4 + t · 3?

A.
19

B.
39

C.
87

D.
133

Answers

Hi there! If t=5 then 6*4+5*3=39. Therefore, the answer is B. 39
the answer is B because 6*4=24 and 5*3=15 and 24+15=39