15. Examine the figure below.

If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

15. Examine The Figure Below. If C Is The Midpoint Of BD, What Is The Coordinate Of Point C If Point

Answers

Answer 1

Answer:

13

Step-by-step explanation:

Given:

BC = 2x + 7

CD = x + 10

Coordinate of point B = 0

Required:

Coordinate of point C

SOLUTION:

Since C is the midpoint of BD, therefore:

BC = CD

2x + 7 = x + 10 (substitution)

Collect like terms

2x - x = -7 + 10

x = 3

BC = 2x + 7

Plug in the value of x

BC = 2(3) + 7 = 6 + 7

BC = 13

Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.

Since the coordinate of B is 0, 13 units away from 0, would be 13.

Therefore, the coordinate of point C = 13

Answer 2

The coordinate of point C if If C is the midpoint of BD will be (0, 13)

From the given diagram, if C is the midpoint of BD, hence;

BC + CD + BD

Given the following parameters

BC = 2x + 7

CD = x + 10

Since C is the midpoint of BD, hence BC = CD

2x + 7 = x + 10

2x-x = 10 - 7

x = 3

Get the measure of BC:

BC = 2x + 7

BC = 2(3) + 7

BC = 13 = CD

Hence the coordinate of point C will be (0, 13)

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Answer:

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Step-by-step explanation:

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using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

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What’s the algebraic expression for 9,12,1518

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Answer:

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Step-by-step explanation:

As an estimation we are told 5 miles is 8 km. 
Convert 60 km to miles.​

Answers

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

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Step-by-step explanation:

I try it its 96 km

Trust me

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Step-by-step explanation:

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Answer:

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The length of a rectangle is two more than two times its width. The perimeter of the rectang
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B
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D
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Step-by-step explanation:

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Answers

Answer:

A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.

Step-by-step explanation:

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Answers

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If z = 1 –StartRoot 3 EndRoot i, what is z^3? please help im stressed


a) -8

b) 8

c) -8i

d) 8i

Answers

Answer:

Correct answer: a) -8

Step-by-step explanation:

Complex Numbers

A complex number z in polar form is expressed as

[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]

The nth power of a complex number in polar form is:

[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]

If the complex number is given in rectangular form

[tex]z=x+\mathbf{i}y[/tex]

then the values of r and θ are given by:

[tex]r=\sqrt{x^2+y^2}[/tex]

[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]

The given complex number is:

[tex]z=1-\mathbf{i}\sqrt{3}[/tex]

The value of r is:

[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]

[tex]r=\sqrt{1+3}=2[/tex]

r=2

Calculating the angle:

[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]

[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]

Since the number is in the quadrant IV, the angle is:

[tex]\theta=-60^\circ[/tex]

Thus, z is expressed in polar form as:

[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]

Calculating:

[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]

Given cos 180°=-1 and sin(-180°)=0

[tex]z^3=8(-1+0)[/tex]

[tex]z^3=-8[/tex]

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Answer:

A

Step-by-step explanation:

just finished test

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Answers

Answer:

x = 2

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( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

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iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

Which system is equivalent to StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout

Answers

Answer:

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Step-by-step explanation:

Answer:

B.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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isolate 3x by itself by adding 3 to both sides

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subtract y from each side

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and just flip around the equation to make it look nicer

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How many seconds after Kristen gets home is her dinner ready?

Answers

1020 seconds

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

if x=5, substitute 5 into all the x that appears in the equation.

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Answers

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Step-by-step explanation:

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Answers

divide

Step-by-step explanation:

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Answers

Answer:

180 boys

Step-by-step explanation:

If there is a ratio of 9 boys : 11 girls

9 + 11 = 20 total

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400/20 = 20.

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Step-by-step explanation:

Answer:

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Answers

Answer:

the answers is 3 over 2 in fraction form

Answer:

1 1/2 or 3/2

Steps:

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Answers

Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

WILL GIVE BRAINLIEST
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Answers

Answer:

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Step-by-step explanation:

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