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3 years ago

For a pair of similar triangles, corresponding sides are _____ congruent.

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

5 0

Never

they have the same ratio only
congruent triangles have equal sides

crimeas [40]3 years ago

5 0

Answer: Sometimes

Step-by-step explanation:

We know that congruent triangles have its corresponding sides and angles equal . They have same shape and size.

But for similar triangles they have same shape but may have different size.

Therefore, congruent triangles are similar but similar triangles may not be congruent.

Hence, For a pair of similar triangles, corresponding sides are sometimes congruent.

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Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B

Ganezh [65]

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

150 -75 = 75t -50t, combine likes terms

75 = 25t, divide both sides by 25

3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

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Step-by-step explanation:

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Step-by-step explanation:

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A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit.

iris [78.8K]

9514 1404 393

Answer:

530.93 square units

Step-by-step explanation:

The area of a circle in terms of diameter can be found by ...

A = (π/4)d²

A = 3.14159/4×26² ≈ 530.929

Rounded to hundredths, the area of the circle is 530.93 square units.

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