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EastWind [94]
3 years ago
9

AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF. 4 lines are

shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G. By the congruent supplements theorem, what can you conclude? AngleCBG Is-congruent-to AngleDBG AngleFBC Is-congruent-to AngleDBG AngleCBG is supplementary to AngleDBF. AngleFBC is supplementary to AngleDBG.
Mathematics
1 answer:
aniked [119]3 years ago
5 0

Answer:

b

Step-by-step explanation:

i just did it on edginity

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patriot [66]

Answer:

2143-764=1379

Step-by-step explanation:

6 0
3 years ago
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
blagie [28]

Answer:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

Step-by-step explanation:

The total cost of the top and bottom is $0.36 + 0.14 = $0.50 per square foot.

The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

A minimum-cost box will have the cost of any pair of opposite sides be the same. Here, that means the box will have a side area that is 5 times the area of the top or bottom.

Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

_____

If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

  top&bottom cost = 0.50·x²

The height of the box is 40/x², so the cost of the four sides will be ...

  side cost = (0.05)(4x)(40/x²) = 8/x

This is minimized when the derivative of the sum of these costs is zero:

  cost = top&bottom cost + side cost

  cost = 0.50x² + 8/x

  d(cost)/dx = 1.00x -8/x² = 0

Multiplying by x², we get ...

  x³ -8 = 0

  x = ∛8 = 2 . . . . . . as above

  height = 40/x² = 40/4 = 10 . . . . . as above

6 0
3 years ago
Find the rule for each table in the pic please
coldgirl [10]
(left table) the first one is add 1(on left) and add 4 (on right)
(right table) then the second on is 
add 1(on left) and add 3 (on right)
3 0
3 years ago
Read 2 more answers
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the roofto
d1i1m1o1n [39]

Answer:

The distance between two cars is 110.64 feet.

Step-by-step explanation:

Angle of depression is defined as an angle between the line of sight and the horizontal.

Remember in a right angled triangle, the angle of depression is always same as the angle of elevation.

If \theta be the angle of depression then,

tan\theta=\frac{opposite}{adjacent}

Given that,

Two car are travelling toward a hotel on the same road.

The height of the given building is 600 feet.

For the first car:

The angle of depression = The angle of elevation = 52°

Let the horizontal distance between the building and the car be x.

Here, \theta =52 ^\circ, opposite = 600 feet, adjacent = x

tan 52^\circ=\frac{600}{x}

\Rightarrow x=\frac{600}{tan 52^\circ}

\Rightarrow x\approx 468.77 feet

For the second car:

The angle of depression = The angle of elevation = 46°

Let the horizontal distance between the building and the car be y.

Here, \theta =46 ^\circ, opposite = 600 feet, adjacent = y

tan 46^\circ=\frac{600}{y}

\Rightarrow y=\frac{600}{tan 46^\circ}

\Rightarrow x\approx 579.41 feet

The distance between two cars is

= The distance of the second car from the building - The distance of the first car from the building

=(579.41-468.77) feet

=110.64 feet.

3 0
3 years ago
Find the measure of the indicated angle to<br> the nearest degree! please help
Arisa [49]

Answer:

A  54°

Step-by-step explanation:

Sorry if its wrong <3

3 0
2 years ago
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