If one of the non-right angles in a right triangle is equivalent to an angle in another right triangle, what can you say about the two triangles? What does that mean about the sides of the triangles? Explain.

Answers

Answer 1
Answer: The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
Answer 2
Answer: The triangles are similar by AAA. AAA however does not prove congruency. The side would be proportional.

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A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?47.1 cm


94.2 cm


188.4 cm


376.8 cm

Answers

Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

3x= 5(x-1.5)\n\n\Rightarrow\ 3x=5x-1.5*5\n\n\Rightarrow\ 3x=5x-7.5\n\n\Rightarrow\ 5x-2x=7.5\n\n\Rightarrow\ 3x=7.5\n\n\Rightarrow\ x=(7.5)/(3)\n\n\Rightarrow\ x=2.5

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Which of the following expressions represents "three times the difference between t and y"?y - 3t
3t-y
3(t-y)

Answers

The expression that represents "three times the difference between t and y" is\bold{3(t - y)}

What is expression?

"It is a mathematical statement which consists of numbers, variables and some mathematical operations."

For given question,

We need to write an expression for the statement "three times the difference between t and y"

The statement "the difference between t and y" in mathematical expression form would be t - y

Now, we write "three times the difference between t and y" in expression form as,

3 * (t - y) \n= 3(t - y)

Therefore, the expression that represents "three times the difference between t and y" is  \bold{3(t - y)}

Learn more about expressions here:

brainly.com/question/24242989

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3 times the difference of t and y :
3(t - y)

TenCo's junior tennis rackets has fixed costs of $740,000.00. The selling price per racket is $77.59. The variable cost per racket is $39.72. What is the break-even point in units?

Answers

B = F / (S-C)

B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit

B = 740000 / (77.59 - 39.72) = 19540.53

The breaking point is approached after selling 19541 units.

What is the slope of the graph of 12x + 3y = –17?A.-4


B.negative one-fourth


C.one-fourth


D.4

Answers

To get the slope you need to solve for y:
12x+3y=-17
Subtract 12x from both sides:
3y=-12x-17
Divide everything by 3:
y=-4x-17/3
The slope is -4.

Ms.Liang is building a deck that is 2 2/9 yards long and 3 2/5 yards wide what is the area of her deck.

Answers

Answer:

length = 20/9 yards

breadth = 17/5 yards

area = length x breadth

= 20/9 x 17/5 = 7 5/9 sq. yards