Find each angle measure Make sure to give all 3

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Answer:

  C.  2x² +4x -30 = 0

Step-by-step explanation:

This is what you get when you follow the instructions.

  [tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]

Answer:

-8x+8=-6x+20 and x= -6

Step-by-step explanation:

Reason to equation:

This image shows alternative interior angles.

Alternative interior angles are congruent to each other.

How to find x:

-8x+8=-6x+20

We subtract 8 from both sides

-8x=-6x+12

We add 6x to both sides

-2x=12

We divided -2 from both sides

-2x/-2x = 12/2

Leaving us with x=-6

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Answer:

  71.4

Step-by-step explanation:

The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...

  P = 2(16.4 +19.3) = 2(35.7)

  P = 71.4 . . . units

__

The missing length on the lower half of the upper right side is 6.3.

Answer:

[tex]BD = 26\\[/tex]

Step-by-step explanation:

Given

[tex]EC = 13[/tex]

Required

Find [tex]BD[/tex]

In the given rectangle.

AC and BD are the diagonals.

This implies that:

[tex]AC = BD[/tex]

AC is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

So:

[tex]AC = EC + EC[/tex]

[tex]AC = 13+13[/tex]

[tex]AC = 26[/tex]

Recall that: [tex]AC = BD[/tex]

[tex]BD = 26\\[/tex]

Answer:

18 people.

Step-by-step explanation:

thirty percent of 60 is 18

Answer:

[tex]x + {4x}^{2} [/tex]

Step-by-step explanation:

simplify by combining like terms

4x - 3x = x

[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]

we're left with

[tex]x + {4x}^{2} [/tex]

Answer:

4x²+x

Step-by-step explanation:

4x-3x+3x²+x²

4x minus 3x is x and 3x² +x² is 4x²

therefore,

4x²+x

Answer:If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inchest in length.

Step-by-step explanation:

Answer:

The length of each side is 4 inches.

Step-by-step explanation:

Since the shape is a square, all sides are equal so you do 16÷4 since there are 4 sides to get your answer of 4 inches.

Answer:

angle 1 = 108°

Step-by-step explanation:

because angle 1 and angle 2 are vertical angles and vertical angles are equal.

Answer:

x² + 11x-16y

Step-by-step explanation:

The given equation is :

[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]

It can be simplified as follows :

[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]

So, the correct option is (d) i.e. x² + 11x-16y.

Answer:

9.4m is the answer.

Step-by-step explanation:

a = 8m

b = 5m

c = ?

According to the Pythagoras theorem,

a² + b² = c²

8² + 5² = c²

64 + 25 = c²

89 = c²

c = 9.433

Rounding off,

c = 9.4m

Answer:

65 miles per hour

Answer:

5/36

Step-by-step explanation:

P(>1, 6) = 5/6 x 1/6 = 5/36

Answer:

Oh ok add me abelthegoat8

Step-by-step explanation:

Answer:

I don't have sc, but thx for the points! :)

Step-by-step explanation:

have a good day!

Answer:

Ccritical value = 1.833

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Answer:

  (x -4)² +(y -2)² = 20

Step-by-step explanation:

The circle is the circumcircle of triangle OAB. Then OA will be a diameter if angle OBA is a right angle. We can check that by looking at the slopes of AB and BA.

  B-O = (6, 6)-(0, 0) = (6, 6)   ⇒   slope = Δy/Δx = 6/6 = 1

  A-B = (8, 4) -(6, 6) = (2, -2)   ⇒   slope = -2/2 = -1

These slopes have a product of -1, so OB ⊥ BA. The hypotenuse (OA) of ΔOBA is the diameter of the circle.

Then the midpoint of the hypotenuse is the center of the circle.

  C = (O +A)/2 = ((0, 0) +(8, 4))/2 = (4, 2)

The equation is ...

  (x -h)² +(y -k)² = r² . . . . . circle with center (h, k) and radius r

The radius is the distance from O to C, so is ...

  r² = 4² +2² = 20

and the equation of the circle is ...

  (x -4)² +(y -2)² = 20 . . . . equation of the circle

Answer:

Step-by-step explanation:

Base perimeter: 4 x 2 x π = 8π

LA = 8π x 6 = 48π

Base area = 4^2π = 16π

SA = 16π x 2 + 48π = 80π

V= 16π x 6 = 96π

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Answer:

  21.07

Step-by-step explanation:

The tangent ratio is ...

  Tan = Opposite/Adjacent

For the given values, this is ...

  tan(36°) = x/29

Solving for x, we have ...

  x = 29·tan(36°)

  x ≈ 21.07

Answer:

900

Step-by-step explanation:

1 inch/150 feet x 6 inch/x feet

cross multiply

1x=900

Answer:a

Step-by-step explanation:

Answer:

8 CM

Step-by-step explanation:

(Hypotenuse)²=(Base)²+(Height)²

10²=X+6².

100=X+36

100-36=X ( by transposition method )

√64=X

8=X

Answer:

B. it's a square pyramid so the base is a square.

Step-by-step explanation:

Answer:

£108.90

Step-by-step explanation:

[tex]121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90[/tex]

Answer:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Step-by-step explanation:

1) Formulate the hypotheses:

H0 : p1=p2

Ha: p1 ≠ p2

2) The significance level is chosen at ∝= 0.1  

3) The critical region is Z∝/2 ≥ ± 1.645

4) The test statistic under H0 is

Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)

p1^= proportion of of teenagers liking the new product.

p2^ = proportion of of parents of young children liking the new product.

p1^= 4/5

p2^= 1/5

p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5

q^= 0.5

Thus

Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)

z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)

z= 0.6/ 0.316227

z= 1.897

5) Conclusion:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

Answer:

x = 11

x = 7

Step-by-step explanation:

divide each side by 3 to get:

(x-4)² = 9

(x-4)² is the difference of two squares and has these factors:

(x+2)(x-2) = 9

x + 2 = 9;  x = 7

x - 2 = 9;  x = 11

Answer:

x over 5 or x divided by 5

Step-by-step explanation:

x over 5 : [tex]\frac{x}{5}[/tex]

x divided by 5 : x ÷ 5

Answer:

4 times

Step-by-step explanation:

Note,

Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.

Hence, we have;

120/30 = 4

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.