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motikmotik
4 years ago
6

Applying the Third Corollary to the Inscribed Angles Theorem A circle is shown. Points A, B, C, and D are on the circle. Lines c

onnect each point to form a quadrilateral. Angle B is (3 x minus 4) degrees and angle D is (2 x minus 6) degrees. The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D? m∠B = ° m∠D = °
Mathematics
1 answer:
Marat540 [252]4 years ago
8 0

Answer:

  • ∠B = 110°
  • ∠D = 70°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  ∠B +∠D = 180°

  (3x -4) +(2x -6) = 180

  5x = 190 . . . . . . . . . . . add 10, collect terms

  x = 38 . . . . . . . . . . . . . divide by 5

  ∠D = 2(38) -6 = 70

  ∠B = 180 -70 = 110

The measures of angles B and D are 110° and 70°, respectively.

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Patricia drove for 3 hours. Carlos drove for twice that, 6 hours. 6+3=9
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3 years ago
P: 2,012
Hunter-Best [27]

El volumen que queda entre la esfera y el cubo es:  30.49cm^3

<h3>¿Como calcular el volume sobrante?</h3>

El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.

Para el cubo que tiene una arista de 4cm, el volumen es:

V = (4cm)^3 = 64 cm^3

Para la esfera con un diametro de 4cm, el radio es:

R = 4cm/2 = 2cm

Y el volumen será:

V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3

El volumen que queda entre la esfera y el cubo es:

V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3

Sí quieres aprender más sobre volumenes:

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5 0
1 year ago
Identify the Property 8x0=0
nikdorinn [45]
The property is times
5 0
3 years ago
Read 2 more answers
Please help me i dont get ittt!!!
vaieri [72.5K]

Answer:

5.68 x 10^5

Step-by-step explanation:

(5.3 x 10^5) + (3.8 x 10^4)

= 10^4 [(5.3 x 10) + 3.8]

= 10^4 (53 + 3.8)

= 10^4 (56.8)

= 56.8 x 10^4

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5 0
3 years ago
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Chelsea wants to join a fitness club. the fitness club charges in initial membership fee of $55 in a monthly fee of 19.50. She h
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Answer:

x = number of months

19.5x + 55 = 250

- 55 = 250 - 55

19.5x = 195

x = 195 ÷ 19.5

x = 10

10 months

Step-by-step explanation:

We need to find the number of months represented by x. We know that there is a monthly fee of 19.50. so we can multiply x by 19.50. we are also given an additional 55 fee for the membership. so we need to add 55 to 19.50 multiplied by the number of months. we have a total of 250 to spend. this gives us our equation:19.5x + 55 = 250. To solve for x we can first start with subtracting 55 to both sides of the equation. Because what we do to one side of the equation we must also do to the other side of the equation.

19.5x + 55 = 250

-55 = 250 -55

which helps us simplify the equation to

19.5x = 195

Now we are able to divide both sides by the 19.5 to give us our x amount.

19.5 ÷ 19.5x = 195 ÷ 19.5

This gives us 1x or 1 times x equals 10

1(x) = 10

Since 1 multiplied by x equals the same number, x is then equal to 10

x = 10

7 0
3 years ago
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