If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)

What is the measure of the missing angle?

Alexus [3.1K]

Answer:

13

180-125-42=13

7 0

3 years ago

Five less than twice a number

a_sh-v [17]

2x-5 is the answer to the question

7 0

3 years ago

1. A catering company charges $95 plus $12.75 per plate of food. If the cost to cater a party was $656, how many people were at

son4ous [18]

Using arithmetic and the information provided, there were 6 persons at the party.

<h3>Number of people at the party</h3>

The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.

Normal charge of a plate of food = $95
Additional charge on each plate of food = $12.75
Total cost of the party = $656
Total cost of food for each person = $95 + $12.75 = $107.75

Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food

= $656/ $107.75 = 6 persons

Learn more about arithmetic: brainly.com/question/2171130

3 0

2 years ago

A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

7 0

3 years ago

The Wolfpack has won 11 games and lost 9 games this season. What percent of its games did the Wolfpack win?

defon

First, you need to find the total amount of games played by adding 11 and 9
$11 + 9 = 20$
Now you have to divide 11 by 20. If you wanted to find the percent of games lost, you would divide 9 by 20.
$11 \div 20$
answer: 55%

8 0

3 years ago

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