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3 years ago

Find the value of x in each case:

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

Answer:

Step-by-step explanation:

2x is an exterior angle

Exterior angles = the sum of the two remote (unconnected - non supplementary interior angles).

Put symbolically

<LEG = <EGF + <EFG

<EFG = 180 - 4x In this case you need to find the supplemtnt

<LEG = x + 180 - 4x

2x = 180 - 3x Add 3x to both sides

5x = 180 Divide by 5

x = 36

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7 0

3 years ago

Read 2 more answers

Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous

pychu [463]

Answer:

$x = 0$ and $x = \textrm{negative one fifth}$

Step-by-step explanation:

Given:

The rational equation to solve is given as:

$\frac{x}{6}=\frac{x^2}{x-1}
$

We use the cross multiplication rule and multiply the numerators one side with the denominators of the other side. Therefore,

$x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}
$

Now, for $x=0$ , the rational equation is equal to 0. So, $x=0$ is a solution.

Also, $x=-\frac{1}{5}$ is also a solution as the equation's denominator is defined at that point.

So, no extraneous solution.

8 0

4 years ago

calculate the area of the shaded region in each figure. use 3.14 for π and round to the nearest 10th if nessary

telo118 [61]

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

<em>I HOPE THIS HELPED</em>

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago