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podryga [215]
2 years ago
13

Find the value of x.

Mathematics
1 answer:
ss7ja [257]2 years ago
4 0

Answer: The answer is 11

Step-by-step explanation:

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Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.
algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.


Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is=AB+BE+ED+DC+CA

                                             =18+17+8+18+15

                                             =76 \ ft


Area of the polygon = Area of Rectangle + Area of Triangle

                                  =[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]

                                  =270 + [(\frac{8}{2}) \times (15)]

                                  =270 + [4 \times (15)]

                                  =270 + 60

                                  =330 \ {ft}^{2}

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2 years ago
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Tony wants to model the Associative property of addition using a number sentence. Which number sentence could be used for Tonys
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A log raft is moving downstream at a speed of 3 km/h. To insure that there are no river jams a supervisor travels along the raft
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2000 meters

Step-by-step explanation:

When the motorboat is moving downstream, its speed relative to the ground is 18 km/h, so its speed relative to the raft is 15 km/h.

When the motorboat is moving upstream, its speed relative to the ground is 12 km/h, so its speed relative to the raft is again 15 km/h.

Converted to m/min, the relative speed is:

15 km/h × (1000 m/km) × (1 h / 60 min) = 250 m/min

It takes the motorboat 16 minutes to travel to the front of the raft and back.  Since the speed is the same in both directions, the motorboat takes 8 minutes to travel the length of the raft.

So the length of the raft is 250×8 = 2000 meters.

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