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2 years ago

If point C is the midpoint of segment AB, which statement is true?

Mathematics

2 answers:

a_sh-v [17]2 years ago

7 0

d)Segment AC and segment CB are equal in measure.

Here, AB = AC + CB

Hope this helps!

topjm [15]2 years ago

3 0

Statement D. is definitely true.

Hope This Helps You!
Good Luck Studying :)

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The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

2 years ago

Jason earns &10.59 per hour. He works 5.75 hours Saturday how much money does he earn Saturday? I know the answer is $60.89

marin [14]

So you are rounding 60.89.
I don't know which way you are aiming for to round, but here are some possible answers.
61.00
60.90
61.90

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2 years ago

Which of these best describes a scientific theory

Sidana [21]

Answer:

Step-by-step explanation:

Have a good day i hope this helps :)

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From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8. If a macaroni and cheese dinner cost $0.37 in 196

ohaa [14]

im pretty sure its C $0.12

best of luck hope i helped :)

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3x+1/5 y= 7 solve for x

TiliK225 [7]

X = -1/15y+7/3

I hope this helps! :>

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