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3 years ago

What is the value of x in the equation 3x-1/9y=18 when y= 27

Mathematics

2 answers:

makkiz [27]3 years ago

6 0

Answer:

$x=7$

Step-by-step explanation:

$3x-1/9(27)=18\\3x-3=18\\3x=18+3\\3x=21\\3x/3=21/3\\x=7$

Nutka1998 [239]3 years ago

5 0

Answer:

x =7

Step-by-step explanation:

3x-1/9y=18

Add 1/9 y to each side

3x-1/9y + 1/9 y=18+ 1/9 y

3x = 18 + 1/9 y

Divide by 3

3x/3 = 18/3 + 1/9y *1/3

x = 6 + 1/27 y

Let y = 27

x= 6+ 1/27 * 27

x = 6+1

x = 7

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Write a multiplication fact that goes with this division fact.<br><br> 30 ÷ 5 = 6

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3 years ago

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

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3 years ago

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Pls help I need this ASAP

SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

When looking at this problem the 4 and 2 angles are the same because of opposite side and then you just subtract 35 from 90 which gives you 3

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3 years ago

Which is the next step in the following construction of an equilateral triangle

Ira Lisetskai [31]

Answer: its the next portion of 123

Step-by-step explanation:

because my teacher told me

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2 years ago

Ava bought 7.73 pounds of fruit for a class party. the class ate 3.59 pounds of the fruit. how much fruit is left?

dem82 [27]

Ava bought $7.73$ pounds of fruit for a class party , class ate $3.59$ pounds fruits then $4.14$ pounds fruit left after party.

How can we find how much fruit is left after party ?

Ava bought $=7.73$ pounds fruit

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fruit left after party $= total fruit -fruit ate by class$

$= 7.73-3.59\\=4.14$

So $4.14$ pound fruit is left .

Learn more about the fruit left here :

brainly.com/question/28048819

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