Question

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Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

A
They are the same size and shape.

B
They are the same size but different shapes.

C
They have corresponding angles that are congruent

D
They have corresponding sides that are congruent

.

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if
x represents the number of miles of the trip?
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A
y = 2.50x + 2.65

B
y = 2.65(x + 2.50)

C
y = 2.65x – 2.50

D
y = 2.65x + 2.50

Which situation can be represented by this inequality?

1.25x – 6.50 > 50

A
Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

B
Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

C
Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

D
Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

Answer 1

Answer:

The correct statement for question 1 is C

For question 2 is D.

For question 3 is A.

Step-by-step explanation:

Question 1:

Step 1: Write down the properties of similar triangles.

- The corresponding angles of the similar triangles must be equal

- The corresponding sides are proportional to each other.

From the properties above the correct answer is C.

Question 2 :

Step 1 : Let the total cost be y, the miles covered be x then the constant cost be c.

Step 2: Write the equation in the form :

y = mx + c

Step 3: Identify the components of the given question.

c = $2.50

m = $2.65

Therefore : y = 2.65x + 2.50

The correct answer is D.

Question 3:

1.25x - 6.50 > 50

x is the independent variable and it represents a varying quantity.

6.50 is a constant.

The correct statement that represents this inequality is statement A.

Answer 2

Answer:

here's your answers

1. d
2. a

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