answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
2 years ago
10

Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si

des." Is this a valid definition of a regular hexagon?
a. It is valid because regular hexagons have six sides and six angles.
b. It is not valid because some hexagons that are not regular hexagons fit the definition.
c. It is not valid because it does not say that the figure can only have six angles.
d, It is valid because all regular hexagons fit the definition, and any figure that is not a regular hexagon does not fit the defintion.
Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

d.

Step-by-step explanation:

All regular hexagons fit this definition.

Any other figure does not fit the definition.

You might be interested in
Mr. Marlon buys these tickets for his family to visit the water park. The total cost is $210. Write and solve an equation to fin
mars1129 [50]

Answer:

$52.50

Step-by-step explanation:

210 divided by 4 equals 52.50

3 0
2 years ago
Roberto's toy car travels at 30 centimeters per second (cm/sec) at high speed and 20 cm/sec at low speed. If the car travels for
igomit [66]

Answer:

1200 cm

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s
Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u>  ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ  

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

 sides and   including angle in the 2nd Δ  

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ   ≅

 2 corresponding angles and the side whose joining them in the 2nd Δ  

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

 angles   and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles  

  and one side in Δ EBC

∴ <u><em>Triangles ADC and EBC congruent by AAS</em></u>

* Yes Triangles ADC and EBC congruent by AAS

8 0
2 years ago
Read 2 more answers
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. x2 + y2 = 25 (a) Fin
Artemon [7]

Answer:

(a) \frac{dy}{dt}=-3\frac{3}{4}

(b) \frac{dx}{dt}=3\frac{3}{4}

Step-by-step explanation:

x^{2} +y^{2}=25

Take \frac{d}{dt} of of each term.

\frac{d}{dt}(x^{2})+\frac{d}{dt}(y^{2})=\frac{d}{dt}(25)\\\\(\frac{d}{dx}(x^{2})*\frac{dx}{dt}) +(\frac{d}{dy}(y^{2})*\frac{dy}{dt})=\frac{d}{dt}(25)\\\\2x\frac{dx}{dt} +2y\frac{dy}{dt} = 0\\\\

For Question a

2y\frac{dy}{dt}=-2x\frac{dx}{dt}\\\\\frac{dy}{dt}=\frac{-2x\frac{dx}{dt}}{2y} \\\\\frac{dy}{dt}=-\frac{x}{y}\frac{dx}{dt}

Given that x = 3, y = 4, and dx/dt = 5.

\frac{dy}{dt}=-\frac{3}{4}*5=-\frac{15}{4}\\   \\\frac{dy}{dt}=-3\frac{3}{4}

For Question b

2x\frac{dx}{dt}=-2y\frac{dy}{dt}\\\\\frac{dx}{dt}=\frac{-2y\frac{dy}{dt}}{2x} \\\\\frac{dx}{dt}=-\frac{y}{x}\frac{dy}{dt}

Given that x = 4, y = 3, and dx/dt = -5.

\frac{dx}{dt}=-\frac{3}{4}*-5=\frac{15}{4}\\   \\\frac{dx}{dt}=3\frac{3}{4}

5 0
2 years ago
What is the value of x in simplest radical form?
Ostrovityanka [42]
In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

\sqrt{84^2 + 13^2} = 85

Thus, x = 85.
8 0
2 years ago
Read 2 more answers
Other questions:
  • Basing the Results on Probability
    15·2 answers
  • Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
    14·1 answer
  • The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas
    6·1 answer
  • Rename 24 ten thousands
    13·2 answers
  • Beth sold half of her comic books and then bought nine more. She now had 28. With how many did sh begin?
    15·2 answers
  • Complete the equation describing how x and y are related. Help please!!!
    9·1 answer
  • The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the
    7·2 answers
  • During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission
    5·1 answer
  • The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90
    15·1 answer
  • Which composite function can be used to find the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!