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3 years ago

Solve the system of equations. \begin{aligned} & -5y-10x = 45 \\\\ &-3y+10x=-5 \end{aligned} −5y−10x=45 −3y+10x=−5

Mathematics

2 answers:

sineoko [7]3 years ago

7 0

Answer:

x = -2

y = -5

Step-by-step explanation:

We can solve this algebraically (substitution or elimination) or graphically. I will be using elimination:

Step 1: Add the 2 equations together

-8y = 40

y = -5

Step 2: Plug <em>y </em>into an original equation to find <em>x</em>

-3(-5) + 10x = -5

15 + 10x = -5

10x = -20

x = -2

And we have our final answers!

Paraphin [41]3 years ago

4 0

Answer:

$\boxed{\sf \ \ \ x=-2 \ \ \ and \ \ \ y=-5 \ \ \ }$

Step-by-step explanation:

let s solve the following system

(1) -5y-10x=45

(2) -3y+10x=-5

let s do (1) + (2) it comes

-5y-10x-3y+10x=45-5=40

<=>

-8y=40

<=>

y = -40/8=-20/4=-5

so y = -5

let s replace y in (1)

25-10x=45

<=>

10x=25-45=-20

<=>

x = -20/10=-2

so x = -2

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Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.

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Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

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substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

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Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

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substitute the values

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step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

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substitute the values

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3 0

3 years ago

Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to

Oliga [24]

<h3>Fraction of square tiles = $(\frac{4}{25}) = 0.16$ </h3><h3>Fraction of rectangle tiles = $(\frac{17}{50}) = 0.34$ </h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles = 34

The total number of rectangle tiles = 16

Now, calculating the total fraction of square tiles:

The fraction of square tiles = $\frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}} = \frac{16}{100} = \frac{4}{25}$

Also, solving the fraction, we get $\frac{4}{25} = 0.16$

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The fraction of rectangle tiles = $\frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}} = \frac{34}{100} = \frac{17}{50}$

Also, solving the fraction, we get $\frac{17}{50} = 0.34$

So, the decimal value of rectangle tiles = 0.34

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2 years ago

If anyone Is nice enough to check my math (don’t judge the horrible handwriting..I don’t usually write like this)..I’d be thankf

professor190 [17]

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2 years ago

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Andreas93 [3]

Answer:

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Solve the system of equations. \begin{aligned} & -5y-10x = 45 \\\\ &-3y+10x=-5 \end{aligned} ​ −5y−10x=45 −3y+10x=−5 ​

Solve the system of equations. \begin{aligned} & -5y-10x = 45 \\\\ &-3y+10x=-5 \end{aligned} −5y−10x=45 −3y+10x=−5