If AB ← → is parallel to CD ← → , which statment must be true?

Answers

Answer 1
Answer: IF AB is parallel to CD , then alternate interior angles and corresponding angles are equal..
A is correct...


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A new restaurant is having advertising flyers printed. The cost to design and lay out the flyer is $300. There is an additional cost of $0.12 per flyer printed. Identify the fixed cost and the variable cost of the partial variation.
(2 marks)

Fixed cost (b) = _________ Variable cost (m) = ___________

Write the equation representing this relationship in the form y=mx+b.
(1 mark)

c)Use your equation in (b) to determine the total cost of 300 flyers.
(2 marks)

Answers

Answer:

Fixed cost (b) = $300

Variable cost (m) = $0.12

y = 0.12(x) + 300

y = 0.12(300) + 300

y = 36 + 300

y = 336 flyers

Step-by-step explanation:

Keshawn is asked to compare and contrast the domain and range for the two functions.f(x) = 5x
g(x) = 5^x
Which statements could he include in his explanation? Check all that apply.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of both functions is y > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answers

Answer:

Hence, option 1 is correct.

Hence, last option is correct.

Step-by-step explanation:

We have given two function

f(x)=5x  and g(x)=5^x

Domain is the values x can take and

And range is the values y can take

Hence, x can take any real value in both the functions in f(x) and g(x)

Hence, option 1 is correct

Now, for range

range of f(x) can be any real number

But range of g(x) can be positive number

Hence, last option is correct.

Rest all options are incorrect.

He could include two statements:
-  The domain of both functions is all real numbers.
-  The range of g ( x ) is y > 0 

In Crosby's model collection, 5/16 of the models are trains and 7/16 of the models are cars. What part of Crosby's model collection is trains and cars?

Answers

Answer:

3/4.

Step-by-step explanation:

5/16 + 7/16

= (5+7)/16

= 12/16

= 3/4.

What the product of 3 2/3 and 14 2/5

Answers

Hi There! :)

What the product of 3 2/3 and 14 2/5

52 4/5


A lamp is on sale, and its price is reduced from $80 to $50. What is the percent of decrease? Select from the drop-down menu to correctly complete the statement.

Answers

The percentage decrease is equal to the change in price ( the decreased amount) divided by the original amount, then multiplied by 100. We have,

Percentage decrease = (80-50)/(80)=0.375*100=37.5 %

ANSWER: 37.5%

$80 - $50 = $30

$30 * 100 / $ 80 = 37.5%

answer: 37.5% of decrease.




A rectangle measures fourteen centimetrers by four centimetres what is its area

Answers

The formula for finding the area of a rectangle is:
\sf area = length * width

Here we are given that the length is 14 cm, and the width is 4 cm.

So the are will be:

\sf area = 14~cm * 4~cm\n\n\boxed{\sf{area = 56 cm^2}}
The rectangles area is 56 cm. messed it up the first time!! lol