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sdas [7]
2 years ago
6

On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the cent

er of dilation. What is the length of the resulting segment ?
A-80

B-100

C-112

D-125
Mathematics
1 answer:
mestny [16]2 years ago
8 0

The length of the dilated line segment is 80 units.

<h3>What is dilation?</h3>

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units

The length of the dilated line segment is 80 units.

Find out more on dilation at: brainly.com/question/10253650

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Find three consecutive odd integers whose sum is 21
MissTica

The correct answer is 5, 7, 9.

3 0
4 years ago
This exercise involves the formula for the area of a circular sector. find the area of a sector with central angle 3π/5 rad in a
netineya [11]
The formula of interest is
  A = (1/2)r²·θ
You have r = 9 m, θ = 3π/5. Then the area is
  A = (1/2)(9 m)²(3π/5) = 24.3π m²

The sector area is ...
  A ≈ 76.3 m²
8 0
3 years ago
Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)
enot [183]

Answer:

<em>The area of the polygon CDEFGH is 7</em>

Step-by-step explanation:

<u>Area of a Polygon</u>

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

A1=L^2

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

\displaystyle A2=\frac{b1+b2}{2}h

Calculate both areas:

A1=2^2=4

\displaystyle A2=\frac{2+4}{2}\cdot 1=3

Total Area=4+3=7

The area of the polygon CDEFGH is 7

8 0
3 years ago
the sum of 2 numbers is 7 the larger number is 16 more than 2 times the smaller number what are the numbers
EastWind [94]

Answer:

x=larger no

y= smaller no

Step-by-step explanation:

x+y=7--------(1)

x=16 + 2y------(2)

(2)--->(1)

16+2y+y = 7

3y + 16 = 7

3y = -9

y = -3//

so x=10

7 0
3 years ago
Read 2 more answers
6th-grade math, fill out the table! :)
Svetradugi [14.3K]

Answer:

21 wins, table is attached.

Step-by-step explanation:

The ratio of 7 wins to 2 losses is 7:2. A ratio is just saying that every time one value is increased by 7, the other is increased by 2.

So we can fill out the table, in every iteration wins increases by 7 and losses increases by 2.

When we fill this out, we find that when losses is 6, wins is 21, so when you have 2 losses you have 21 wins.

Hope this helped!

4 0
3 years ago
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