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3 years ago

2.0Plss solve for x...........................

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

x = - 7

Step-by-step explanation:

( x + 139 ) and 132 are vertically opposite angles.

Vertically opposite angles are equal,

x + 139 = 132

x = 132 - 139

x = - 7

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2x-y+52=16<br> X-6у +2z=-9<br> 3x+4y- z=32

Archy [21]

The solution to the given system of equation is (3, 3, 3)

<h3>Solving system of equations</h3>

Given the following system of equation expressed as:

2x-y+5z=16

X-6у +2z=-9

3x+4y- z=32

Multiply equation 2 by 2 to have:

2x-y+5z=16

2X-12у +4z=-18

Subtract

10y+z = 34 .........4

Similarly

3X-18у +6z=-27

3x+4y- z=32

Subtract

-22y+7z = -59 ........... 5

Equate 4 and 5

10y+z = 34 .........4 * 7

-22y+7z = -59 ........... 5 * 1

_______________________

70y+7z = 238

-22y+7z = -59

Subtract

92y = 297

y = 3

Recall that

10y+z = 34

10(3) + z = 34

z = 3

Since x - 6y +2z = -9

x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3

Hence the solution to the given system of equation is (3, 3, 3)

Learn more on system of equation here: brainly.com/question/25976025

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4 0

2 years ago

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

ankoles [38]

Answer:

$m\angle Y$

Step-by-step explanation:

In triangle XYZ, the lengths of sides are

$XY=m+8;$
$YZ=2m+3;$
$XZ=m-3.$

If $m\ge 6,$ then

$m+8\ge 14;$
$2m+3\ge 15;$
$m-3\ge 3$

and

$m-3\le m+8\le 2m+3$

The greatest angle is opposite to the greatest side, the smallest angle is opposite to the smallest side, so

the greatest side is $YZ=2m+3$ - the greatest angle is $\angle X;$
the smallest side is $XZ=m-3$ - the smallest angle is $\angle Y.$

Thus,

$m\angle Y$

8 0

3 years ago

Read 2 more answers

A random sample of 144 observations has a mean of 20. The population standard deviation is known to equal 4.8. The 95.44% confid

Makovka662 [10]

Answer:

The population mean is 19.2 to 20.8.

Step-by-step explanation:

The formula of Confidence interval is

CI = mean ± z* $\frac{s}{\sqrt{n} }$

where

n = sample size

s = Population standard deviation.

mean = Sample mean

z(α/2) = Two tailed z-value for significance level of .

Given : Confidence level = 95.44% = 0.9544

Significance level = α = 1-0.9544 = 0.0456

Now we Use standard z-value table

z-value for Significance level of 0.0456 :

z(α/2) = z(0.0228) = 1.99 = 2(approximately)

And we are given

n=144

s = 4.8

mean = 20

so the required Confidence interval is

CI = 20± 2* $\frac{4.8}{\sqrt{144} }$

= 20 ± 2* $\frac{4.8}{12}$

= 20 ± (0.8)

= (20-0.8, 20+0.8 )

= (19.2 , 20.8)

Therefore the 95.44% CI value for the population mean of 20 is 19.2 to 20.8.

6 0

3 years ago

What is 5000+500+50+3 in standard form

qwelly [4]

$5000\\.\ 500\\.\ \ 50\\\underline{+ \ \ 3}\\5553$

6 0

3 years ago

Read 2 more answers

Which of the following is equivalent to the equation 2(x-3) 5(x+1)

Romashka-Z-Leto [24]

(2x-6)(5x+5)

10x^2-20x-30=f(x)

8 0

3 years ago