Two acute triangles are similar. Which of the following must the similar triangle have?A) every pair of sides and angles congruent
B) at least one pair of congruent sides and one pair of congruent angles
C) congruent corresponding angles and proportional side lengths
D) a right angle and a hypotenuse

Answers

Answer 1

Answer:

Answer:

The correct answer is C). congruent corresponding angles and proportional side lengths

Step-by-step explanation:

Similar Triangles : The two triangles are said to be similar to each other if their all corresponding angles are congruent to each other and the corresponding sides are proportional to each other.

Now, Given that two acute triangles are similar.

So, By using the definition of similarity of two triangles

We can conclude that :

All the corresponding angles of the acute triangles will be congruent to each other.

Also, The sides of both the acute triangles will be proportional to each other.

Therefore, The correct answer is C). congruent corresponding angles and proportional side lengths

Answer 2

Answer: B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.

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What is 10 - 3.587can Someone pls explain this to me and show me the work

Answers

Answer: 6.413

Step-by-step explanation:

What is 10 - 3.587?

This is subtraction of decimals. To subtract decimals, you can follow these steps:

• Write down the numbers given with the bigger number on top of the lower number.

• Add zeros after the decimals so the numbers will both have same length.

• Then subtract.

Therefore, 10 - 3.587 will be:

= 10.000 - 3.587

= 6.413

What are the perfect square trinomials?

Answers

A perfect square trinomial is

(square of one term) + (square of another term) + (double the product of the two terms)

Let's look at the following trinomial.

X² - 14x + 49

(x - 7) (x - 7)

(x - 7)²

This trinomial would be classified as a perfect square trinomial because it factors as two identical binomials which is (x - 7)². This means that any trinomial that factors as two identical binomials is called a perfect square trinomial.

Here's a better picture

Answers

Simple...

you have:

2.) A plumber charges $25 per hour plus an additional $99 for parts. If the plumber worked for 4 hours, which equation represents the total cost for C?

Using y=mx+b

So it's $25 per hour and $99 for parts.

C=25x+99

He worked for 4 hours--->>C=25(4)+99

3.)A gym charges $35 per month for full access to their work equipment. Miss Lewis has a $140 gift certificate to the gym.

Write an equation:

Using y=mx+b

y=-35x+140

How many months can she work out using the gift certificate?

y=-35(1)+140

y=105

y=-35(2)+140

y=70

y=-35(3)+140

y=35

y=-35(4)+140

y=0

She can use the gift certificate for 4 months...

Thus, your answer.

How many inches in 60 square feet

Answers

60 square feet = 8640 square inches. Do you need to know how I got that?

What can multiply to give you 80 but add up to give you 11

Answers

There are no real numbers that can do that job.

There's a pair of complex numbers that can do it.
They are

   5.5 + i4.97
and
   5.5 - i4.97 .

   ' i ' = the imaginary unit = √(-1)

25480=1/2m(424.67)^2

Answers

m = .28257

You can get this by dividing away the 1/2. Then do the exponent and divide that away as well to get the answer.

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For each value of kk specified in parts (a)–(e), plot the set of points in the plane that satisfy the equationx2 / k − y2 = 1.a. k = −1b. k = 1c. k = 2d. k = 4e. k = 10f. k = 25g. Describe what happens to the graph ofx2 / k − y2 = 1 as k → [infinity].