In the ASA Congruence Postulate, the side between the angles is called the __

Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

satela [25.4K]

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

6 0

3 years ago

Question

ella [17]

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- Equate (1) ans (2)

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

3 0

3 years ago

Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?

slega [8]

Given:

Given that the graph that shows the amount of rainfall( in centimeters) and the height of the trees( in meters)

We need to determine the equation that represents the relationship between the height of trees(y) and the amount of rainfall(x).

Slope of the equation:

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (20,10) and (40, 20) in the above formula.

Thus, we get;

$m=\frac{20-10}{40-20}$

$m=\frac{10}{20}$

$m=0.5$

Thus, the slope of the equation is 0.5

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

Hence, the y - intercept is b = 0

Equation of the graph:

The equation of the given graph can be determined using the formula,

$y=mx+b$

Substituting the values, we get;

$y=0.5x+0$

$y=0.5x$

Thus, the equation that represents the relationship between the height of the trees (y) and the amount of rainfall (x) is $y=0.5x$

Hence, Option C is the correct answer.

5 0

3 years ago

Read 2 more answers

Terry goes to the store to buy a shirt. The original price is $32. The shirt is

Anton [14]

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

$Price = \$32$

$Mark\ down = 20\%$

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

$P_2 = Price(1 - Mark\ down)$

Substitute values for Price and Mark down

$P_2 = \$32 * (1 - 20\%)$

Express percentage as decimal

$P_2 = \$32 * (1 - 0.20)$

$P_2 = \$32 * (0.80)$

Remove bracket

$P_2 = \$32 * 0.80$

$P_2 = \$25.6$

The payable amount is 10% off the marked down price,

This is calculated as:

$Amount = P_2 - P_2 * 10\%$

Substitute $25.6 for P2

$Amount = \$25.6 - \$25.6* 10\%$

Express percentage as decimal

$Amount = \$25.6 - \$25.6* 0.10$

$Amount = \$25.6 - \$2.56$

$Amount = \$23.04$

The closest amount paid is $23

8 0

3 years ago

Please help ill give you 20 points :c

posledela

Answer: D+Q= 30

0.10 d+ 0.25 q= 4.80

Step-by-step explanation:

A dime is worth 10 cents and a quarter is worth 25 cents.

7 0

3 years ago

Read 2 more answers

In the ASA Congruence Postulate, the side between the angles is called the ___ side.