Find the measure of one interior angle for the following regular polygon

Answer:

6 x ^2  −  x −  2

Step-by-step explanation:

Remove parentheses.

2 x  ( 3 x  −  2 ) +  3 x  −  2

Simplify each term.

6 x ^2  −  4 x  +  3 x  −  2

Add  − 4 x  and  3 x .

6 x ^2  −  x −  2

Answer:

(3x - 2)(2x + 1)

Step-by-step explanation:

Given

2x(3x - 2) + (3x - 2) ← factor out (3x - 2) from each term

= (3x - 2)(2x + 1) ← as a product of factors

Answer:

x = 1

y=1.5

Step-by-step explanation:

3*1+2*1.5=6

The values of x and y in equation 6=3x+2y is for x is 1 and for y is 1.5.

We have given that,

x and y are integers and 0 < x < y.

6 = /3x+2y.

x=1 then

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

6=3+2y

6-3=2y

3/2=y

y=1.5

3*1+2*1.5=6

Therefore we get the values of x and y is for x is 1 and for y is 1.5.

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9514 1404 393

Answer:

  y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

  -1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

  y = mx + b . . . . . line of slope m and y-intercept b

  y = 5/3x + 8

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

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The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

[tex]H_0: p = 0.6[/tex]

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

[tex]H_1: p \neq 0.6[/tex]

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Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:

Accept the null hypothesis: [tex]|Z| < 1.645[/tex]

Reject the null hypothesis: [tex]|Z| > 1.645[/tex]

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Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]

75 out of a sample of 140:

This means that:

[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

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Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]

[tex]z = -1.55[/tex]

So |z| = 1.55

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Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

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Answer:

X1=6

X2=7

y1= -1

y2= 3

now,

slope = y2-y1/x2-x1

= 3+1/7-6

=4/1

=1

hence slope= 1

Answer:

120 degrees

Step-by-step explanation:

vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120

Answer:

isosceles triangle means both angle or sides equal so in this way

unknown angle + 30 + 30 = 180°

unknown angle+60=180

so unknown angle=120°

which is vertical angle

Answer:

not enough info

Step-by-step explanation:

Answer:

7x3 is 21 so 22 Is the answer

9514 1404 393

Answer:

  c = 14

  no extraneous solutions

Step-by-step explanation:

You can subtract the right-side expression, combine fractions, and set the numerator to zero.

  [tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]

__

Check

  (14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c

  10/12 = 12/16 -1/-12

  5/6 = 3/4 +1/12 . . . . true

There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.

Answer:

5.1

Step-by-step explanation:

ik i am in the future

Answer:

[tex] = \frac{2}{4} \div \frac{1}{4} [/tex]

find reciprocal of ¼:

[tex] = \frac{2}{4} \times \frac{4}{1} \\ \\ = \frac{2}{1} \\ \\ = 2[/tex]

Answer:

2

Step-by-step explanation:

the first step is to change the sign from a division sign to a multiplication sign and when you change the sign you also have to swap one side by placing the numerator down and the denominator up

2/4÷1/4

2/4×4/1

8/4

2

I hope this helps

Answer:

0

Step-by-step explanation:

g[f(x)] = x^2 - 3

= 3x^2

if gf(0) = 3(0)^2

= 0

Answer:

lol sorry i don't know. but i would try my best to find your answer

Answer:

-0.6

Step-by-step explanation:

Answer:

⅗ as a decimal is -0.6

Answer:

b is the correct answer

Step-by-step explanation:

Answer:

AB/AD = AD/AC

Step-by-step explanation:

From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:

AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)

AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)

BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)

Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)

Answer:

AB/AD = AD/AC

Step-by-step explanation:

Had it on my quiz

Answer:

Step-by-step explanation:

Take example of 5/4.

Reciprocal= 4/5

5/4>4/5

so reciprocal of a no. may be greater than or equal to the original no.

Answer:

y = a^x is an exponential function with an x intercept.

Step-by-step explanation:

y = a^x is the standard form of an exponential function.

Answer:

I believe it's D

Step-by-step explanation:

You plug in 0 and you get 5 as your Y value

The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The graph is first shifted to the right by 4 units and another one to the left by 1/2.

So, we have:

y = (5 + 3x)/(1 + x)

Hence, the function of the graph is y = (5 + 3x)/(1 + x)

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Answer:

[tex]\huge\boxed{width=12cm}[/tex]

Step-by-step explanation:

[tex]l-length\\w-width\\P-perimeter[/tex]

The formula of perimeter of the rectangle:

[tex]P=2l+2w=2(l+w)[/tex]

Substitute:

[tex]l=6w\\\\P=168cm[/tex]

[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]

Answer:

Width of rectangle = 12 cm

Step-by-step explanation:

Let us assume that,

→ Length = 6x

→ Width = x

→ Perimeter = 168 cm

Perimeter of rectangle,

→ P = 2(L + W)

Forming the equation,

→ 168 = 2(6x + x)

Now the value of x will be,

→ 168 = 2(6x + x)

→ 2 × 7x = 168

→ 14x = 168

→ x = 168/14

→ [ x = 12 ]

Then the length and width is,

→ Length = 6x = 6(12) = 72 cm

→ Width = x = 12 cm

Hence, required width is 12 cm.

Step-by-step explanation:

1600-1472=128

128/1600×100

Answer:

all except the first

Step-by-step explanation:

do u really want an explanation

Answer:

An angle bisector

Step-by-step explanation:

An angle bisecter

Answer:

3x+4

Step-by-step explanation:

You have to combine like terms to get 3x+4.

Answer: -1

Step-by-step explanation:

12x^2-7x-12 = (4x+3)(3x-4)

4x+3=0. X = -3/4

3x-4=0. X = 4/3

(-3/4) (4/3) = -1

Answer:

SOH-CAH-TOA

[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°

SOH = SIN = OPP/HYP

SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]

Step-by-step explanation:

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer:

the values for x AND y are 0.1 and 0.075 respectively