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3 years ago

X°,Y° and Z° are three angles lying on a straight line.If X°=2y° and Z°=3y°,find he value of y

1 answer:

maks197457 [2]3 years ago

7 0

Answer: " y = 30° " .
_____________________________________
Note: The sum total of the measure of all angles lying on a straight
 line is 180°.

So; x + y + z = 180 .

Given: x = 2y ;
 z = 3y ;
__________________
Find the value of: " y " ;
_______________________
Since: x + y + z = 180 ;

Substitute: "2y" for "x" ;
 and: "3y" for "z" ;
_______________________
 2y + y + 3y = 180 ;

 6y = 180 ;
______________________
Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
___________________________
 6y/ 6 = 180 / 6 ;

 y = 30 ;
____________________________
Let us check our work;
____________________________
 2y + y + 3y = 180 ;

Substitute our solved value: "30" ; for "y" ; in the equation; to see if the equation holds true:
____________________________
2(30) + 30 + 3(30) =? 180 ?
____________________________
 60 + 30 + 90 = ? 180 ?
____________________________
 90 + 90 = ? 180 ? Yes!
____________________________

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aleksandrvk [35]

<h2>PLEASE MARK ME AS BRAINLIEST</h2>

the number of small cars rented is 6.

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Step-by-step explanation:

Step 1 :

Each small car can hold = 5 people

Each large car can hold = 8 people

Step 2 :

Number of small cars rented = x

Number of large cars rented = x + 2

Step 3 :

Altogether the total cars can hold 94 people.

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94 = 5 (x) + 8 (x+2)

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Number of large cars, x+2 = 8 large cars.

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3 years ago

Transformations reflection practice

SOVA2 [1]

Answer:

The Reflection:

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2 years ago

I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)

LiRa [457]

Let's set it up like this:
$0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}$
Multiply both sides by $0.05-x$
$0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)$
$0.513\left(0.05-x\right)=4x^2$
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
$x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}$
The variable $x$ can be both positive or negative.
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3 years ago

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Georgia [21]

Answer: D

Step-by-step explanation:

Substitute values for x until they all work.

A. y = 2 x 2 + 5 = 9 fail

B. y = 2 x 2 - 6 = -2 fail

C. y = -2 x 2 - 5 = -9 fail

D. y = -0.5 x 2 - 5 = -6 ok

y = -0.5 x 5 - 5 = -7.5 ok

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2 years ago

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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