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AURORKA [14]
2 years ago
14

A, B & C lie on a straight line.

Mathematics
1 answer:
VikaD [51]2 years ago
4 0

Answer:

Step-by-step explanation:

A, B & C lie on a straight line.

D, C & E lie on a different straight line.

Ah, this is 2 intersecting lines

angles

y

= 106° and angle

z

= 64°.

well we know that a full size of circle is 360 degrees

let's add z and y :

106+64 = 170

then, let's subtract it from 360

360 - 170 = 90

we must devide it by 2, why? because 90 is from two section of x (2x)

so 90/2 = 45

and there you have it x = 45

if you still cannot visualize what is intersecting line mean, then see the file below

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Answer:

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3 years ago
Put y-x=-8 of a line into slope-intercept form, simplifying all fractions.
grigory [225]

Answer: y= x-8

Step-by-step explanation:

  • Slope intercept form has a general formula of y=mx +b
  • m represents the slope of the line
  • b represents the value of the lines y-intercept

  • the equation must be rearranged into the general formula by isolating for 'y'

y-x=-8

  • to remove the x from the left side of the equation the opposite operation must be done to both sides

y-x+x=-8+x

  • the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
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Final Answer: y=x-8

4 0
1 year ago
6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2​
allsm [11]

Step-by-step explanation:

\frac{6x^{2}y^{3}}{3xy}

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Now reduce using exponent rules.

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4 0
2 years ago
The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

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2 years ago
Which of the numbers below is less than zero? Select all that apply.
UkoKoshka [18]

Answer:

A, B, E area ll less than 0

Step-by-step explanation:

They are all negative numbers.

4 0
2 years ago
Read 2 more answers
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