Which postulate can be used to prove that the two triangles below are Congruent?

Chelsea took out three loans for a total of $ 78 comma 000 78,000 to start an organic orchard. Her business-equipment loan was

lianna [129]

Answer:

Business-equipment loan, A=$15000

Small-business loan, B=$24000

home-equity loan, C= $39000

Step-by-step explanation:

Let the Business-equipment loan at an interest rate of 11%=A

Let the small-business loan was at an interest rate of 5% =B

Let her home-equity loan was at an interest rate of 4.5%.=C

Since her total Loan=$78000

A+B+C=78000....(I)

Simple Interest = (P X R X T)/100

Since the Time, T=1 year

Interest on A = 0.11A

Interest on B = 0.05B

Interest on C = 0.045C

The total simple interest due on the loans in one year was $4605.

0.11A+0.05B+0.045C=4605....(II)

The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.

0.045C = 0.11A +105...(III)

We proceed to solve the simultaneous equations.

A+B+C=78000....(I)

0.11A+0.05B+0.045C=4605....(II)

0.045C = 0.11A +105...(III)

From (III), 0.045C = 0.11A +105

Substitute 0.045C = 0.11A +105 into (II).

0.11A+0.05B+0.11A +105=4605

0.22A+0.05B=4500

From (III),

$C=\frac{22A}{9}+\frac{7000}{3}$

Substitute into (I)

$A+B+\frac{22A}{9}+\frac{7000}{3}=78000$

$\frac{31A}{9}+B=78000-\frac{7000}{3}$

$\frac{31A}{9}+B=\frac{227000}{3}$

$\frac{31A+9B}{9}=\frac{227000}{3}$

3(31A+9B)=9 X 227000

31A+9B=681000

0.22A+0.05B=4500 (Multiply by 9)

31A+9B=681000 (Multiply by 0.05)

1.98A+0.45B=40500

1.55A+0.45B=34050

Subtracting

0.43A=6450

A=$15000

From (III)

$C=\frac{22A}{9}+\frac{7000}{3}$

$C=\frac{22X15000}{9}+\frac{7000}{3} =39000$

C=$39000

from (I)

A+B+C=78000

15000+B+39000=78000

B=$24000

8 0

3 years ago

Select the correct answer.

Brums [2.3K]

Answer:

5 4/9

Step-by-step explanation:

Convert a mixed number 2 19

to a improper fraction: 2 1/9 = 2 19 = 2 · 9 + 19 = 18 + 19 = 199

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 99 = 189

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 9.

Two and one ninth is nineteen ninths

Add: 19

9+ (-29) = 19 + (-2)9= 179

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nineteen ninths plus minus two ninths = seventeen ninths.

Conversion a mixed number 3 59

to a improper fraction: 3 5/9 = 3 59= 3 · 9 + 59= 27 + 51 = 329

To find new numerator:

a) Multiply the whole number 3 by the denominator 9. Whole number 3 equally 3 * 99 = 279

b) Add the answer from previous step 27 to the numerator 5. New numerator is 27 + 5 = 32

c) Write a previous answer (new numerator 32) over the denominator 9.

Three and five ninths is thirty-two ninths

Add: the result of step No. 2 + 32

9= 179+ 329 = 17 + 329 = 499

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seventeen ninths plus thirty-two ninths = forty-nine ninths.

7 0

2 years ago

Helppp meeeeeeee plsssssss you got till nine

damaskus [11]

Answer:

3/20 of the cover page is text about endangered species.

Step-by-step explanation:

We know that 3/8th of the page is text, and 2/5ths of that text is about endangered species.

So all we have to do is find out how much 2/5ths of 3/8ths are, which can be done simply via fraction multiplication.

3/8 * 2/5 = ?

For multiplying fractions, we multiply the top parts together, and then the bottom parts together. So 3/ 8 * 2/5 would be equal to (3*2) / (8*5). This gives us 6 / 40 which can be simplified to 3/20.

So 3/20ths of the cover page is about endangered animals.

3 0

3 years ago

Given A is between Y and Z, and YA=14x, AZ=10x and YZ=12x+48, solve for x

iren [92.7K]

Answer:The answers are: 4 40 56 96.

6 0

3 years ago

Complementary angles always sum to _____.

dmitriy555 [2]

The answer is: 90° .
______________________________________________________

5 0

3 years ago

Read 2 more answers