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Stella [2.4K]
3 years ago
13

The coordinates of the endpoints of CD

Mathematics
1 answer:
Drupady [299]3 years ago
7 0
Use the first part of the midpoint formula:

(x1 + x2)/2

Plug in what we know:

(-4 + 14)/2

10/2

5

So the x-value is 5.
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Can someone please help me please !
TEA [102]

Answer:

Step-by-step explanation:

GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5

HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10

IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5

JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10

Slope of the line that contains GH

(2-5)/(8-4) = -3/4

Slope of the line that contains HI

(-6-2) / (2-8) = 8/6 = 4/3

I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees

5 0
3 years ago
A cone has a volume of 301.44 cubic yards and a radius of 6 yards. What is its height?
alexira [117]

Answer:

h≅ 8 yards

Step-by-step explanation:

Given data

Volume of cone= 301.44 cubic yards

Radius of cone= 6 yards

Required

The Height of the cone

The expression for the volume of a cone is given as

V= 1/3πr^2h

Substitute

301.44= 1/3* 3.142*6^2*h

301.44= 37.704*h

Divide both sides by 37.704

h= 301.44/37.704

h= 7.99

h≅ 8 yards

3 0
3 years ago
the base of a right triangle is (x-5). The height of the triangle is (2x+1). The perimeter of the triangle is (7x+5). Find the a
Dovator [93]

Answer:

Area: (x^2)-(9x/2)-2                3rd side=4x+9

Step-by-step explanation:

First, let's find the third side. If all of the sums add up to 7x+5, then we can easily subtract the two sides that we do have.

2x+1+x-5=3x-4

Now, you have to ask yourself what added to 3x-4 can be equal to 7x+5.

It's 4x+9 because we combine like terms. That's the third side. Now, we should follow the formula for getting the area of triangle using the side lengths:

(2x+1)(x-5)/2=area of triangle

2x*x=2x^2

2x*-5=-10x

x*1=x

-5*1=-5

Now the total is 2x^2-9x-4 when you continue to combine like terms. Now all we have to do is divide by 2. So, the area is 2x^2-9x-4/2. You can simplify that. Answer is up top.

7 0
3 years ago
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