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3 years ago

Which step can be used to prove that triangle EFG is also a right triangle?

Mathematics

1 answer:

Darya [45]3 years ago

8 0

EFG is the same as angle KLM. therefore, it is the reflection of the angle KLM

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2

ankoles [38]

Option C:

$2 g^{3}-5 g^{2}+6$

Solution:

Given expression:

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

To find which expression is equal to the given expression.

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

Expand the term $-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12$

$$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}$

Arrange the like terms together.

$$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}$

$$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}$

Factor the numerator $2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)$

$$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}$

Cancel the common factor g + 2, we get

$=2 g^{3}-5 g^{2}+6$

Hence option C is the correct answer.

8 0

3 years ago

Read 2 more answers

Leroy owns a business earning $49,300 in profits, these profits are appreciating at about 2.9% each year. What are leroys profit

evablogger [386]

Answer:

$62,167.3

Step-by-step explanation:

Profit after nine years is the amount.

Amount = Principal + Interest

Given

Earning profit = Principal = $49,300

Rate = 2.9%

Time = 9 years

Interest = Principal * Rate * Time/100

Interest = $49,300*2.9*9/100

Interest = 1,286,730/100

Interest = $12,867.30

Amount = $49,300+$12,867.30

Amount = $62,167.3

Hence leroys profits after nine years is $62,167.3

7 0

4 years ago

HELP HELP HURRY PLEASE !

iren [92.7K]

Answer:

Step-by-step explanation:

5^2-3^2=16

sqrt16=4

5 0

3 years ago

Read 2 more answers

The sum of two numbers is 47. If the larger number is 25 more than the other, what are the two numbers? Let x x be the larger nu

katrin [286]

Answer:

The answer to your question is x = 36, y = 11

Step-by-step explanation:

Data

there are 2 numbers

their sum is 47

one is larger by 25

x is the larger

y is the smaller

Process

1.- Write two equations that help to solve this problem

x + y = 47 Equation l

x = y + 25 Equation ll

2.- Solve the system of equation by substitution. Substitute Equation ll in equation l

(y + 25) + y = 47

-Solve for y

y + 25 + y = 47

2y = 47 - 25

2y = 22

y = 22/2

y = 11

- Find x, substitute y in equation ll

x = 11 + 25

x = 36

4 0

3 years ago

Read 2 more answers

Simple interest on a bank loan can be calculated by multiplying the principal times the interest rate times the time. In the

insens350 [35]

Answer:

I ---> stands for simple interest

r---> stands for interest rate

p ---> stands for principal

t---> stands for time

Step-by-step explanation:

The simple interest formula is I=prt.

In the formula,

I ---> stands for simple interest

r---> stands for interest rate

p ---> stands for principal

t---> stands for time

I hope this helps you choose the correct option from the complete question.

4 0

3 years ago