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insens350 [35]
2 years ago
11

The polygons in each pair are similar find the scale factor smaller figure to the larger

Mathematics
1 answer:
GrogVix [38]2 years ago
3 0

Answer:

Smaller Figure 3

Larger Figure 5

Scale factor = 15/25 = 3/5

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Find the roots of the parabola given by the following equation <br> 2x^2+5X-9=2x
natta225 [31]

Answer:

x=-3\:or\:x=\frac{3}{2}

Step-by-step explanation:

The given parabola has equation

2x^2+5x-9=2x

We rewrite in standard form to obtain:

2x^2+5x-2x-9=0

2x^2+3x-9=0

Split the middle terms to get:

2x^2+6x-3x-9=0

Factor by grouping:

2x(x+3)-3(x+3)=0

(x+3)(2x-3)=0

x=-3\:or\:x=\frac{3}{2}

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3 years ago
First to get it right gets brainliest
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Answer:

C. r = d/2

Step-by-step explanation:

The radius is half of the diameter.

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Which two of the following are benefits of consumer programs?
Dennis_Churaev [7]

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The correct answer is 1) They help prosecute companies that sell unsafe products to consumers. And 4) They help consumers identify the best product reviews from various sources.

Explanation:

Consumer programs are all those that were created to provide the customer with the correct information about the products and their quality.

Nowadays, with the competition between the companies that present the same product, the client can feel confused about what product to consume. Still, through the consumer programs, the person can choose the best product depending on the program review, but in this way, You will be sure to select the right product based on your needs.

<em>I hope this information can help you.</em>

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(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
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Answer:Line Point Ray Segment

Step-by-step explanation:

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