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Tatiana [17]
3 years ago
5

What is the best name for the figure with vertices at the following coordinates? (0,0), (-1, 1), (6, 1), and (2, 0)

Mathematics
1 answer:
algol [13]3 years ago
4 0
We are given with the following vertices:
A (0,0)
B (-1,1)
C(6,1)
D (2.0)

Next is to plot the vertices in the Cartesian plane so that we can identify the figure. See attached image.

The identified shape is a "Parallelogram".

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Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

7 0
4 years ago
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWE
marusya05 [52]

Answer:

It is so easy u should get this right.

First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40

so it b 40.

Step-by-step explanation:

6 0
4 years ago
Describe the general properties of rotations.
Korolek [52]

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

5 0
3 years ago
Raise the sum of b and a to the 10th power the topic is writing an expression. PLEASE HELP !
otez555 [7]

Answer:

(b + a)^{10}

5 0
4 years ago
Find the lateral area and surface area of the cylinder, Round to the nearest tenth<br> 3 cm<br> 6 cm
Trava [24]

Answer:

3/6 then round it

Step-by-step explanation:

8 0
3 years ago
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