A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse? A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 5 more feet.
45.5 square feet 63 square feet 66.5 square feet 84 square feet

The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

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Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

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Answer:

80⁰

Step-by-step explanation:

Angle = 100⁰

Supplement = 180 - 100 = 80⁰

Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).

To determine whether Tom is closer to the roller coaster or the water ride, we can use the distance formula from the coordinate system. The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Let's calculate the distances from Tom's position (2, 3) to the roller coaster (7, 8) and the water ride (9, 1):

Distance to the roller coaster = √[(7 - 2)² + (8 - 3)²] = √[5² + 5²] = √(25 + 25) = √50 ≈ 7.07

Distance to the water ride = √[(9 - 2)² + (1 - 3)²] = √[7² + (-2)²] = √(49 + 4) = √53 ≈ 7.28

Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).

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Answer:

Water Slide

Step-by-step explanation: