ZA and ZB are vertical angles. If mZA = (3.C – 9)° and m B = (x+3)°, then find the value of x.​

Answer:

yeh you are correct so it will be b is equal to minus 42 minus 9.3 that will be equal to -51.3 so that is the value of b

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

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Answer: n = -1

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add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

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simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

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subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

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simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

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divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

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simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

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Answer:

n= -1

Step-by-step explanation:

Answer:I hink its B if its not im sorry

Step-by-step explanation:

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

Answer: x greater-than or equal-to 2,236

Step-by-step explanation:

5,000-2,764= 2,236

so Li's family still needs to save at least $2,236

Answer:

A

Step-by-step explanation:

bc

Answer:

17x + 56 = 0

Step-by-step explanation:

add 2x and 15x

Answer:

Distance between B and C is 9.6 miles.

Step-by-step explanation:

By applying tangent rule in the given right triangle ABC,

tan(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{BC}{6}[/tex]

1.60 = [tex]\frac{BC}{6}[/tex]

BC = 9.6 mi

Therefore, Distance between B and C is 9.6 miles.

Answer: 9.6

Step-by-step explanation:

Answer:

I would need to see the models to answer this question.

Answer:

?

Step-by-step explanation:

Answer:

200.7391304348

Rounded: 200.74

Answer: 200.74

Step-by-step explanation:

Answer:

169.28

Step-by-step explanation:

18.4x9.2=169.28

Answer:

Step-by-step explanation:

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Answer:

96 cm³

Step-by-step explanation:

v = 4 x 3 x 8 = 96 cm³

Answer:

The volume of the prism is 96cm^3

Step-by-step explanation:

You multpily 4*3*8=96

Answer:

D.

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.

Answer:

yes

Step-by-step explanation:

8d+54=150

8*12+54

96+54

150

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

Answer:

3 expodent 12

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

20-28= -8

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

  28 = 22 • 7  

   12 = 22 • 3  

   32 = 25

Answer:

Round it to the nearest hundredth

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

9514 1404 393

Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

Answer:12/15

Step-by-step explanation: first you add 7+5=12

then add 12+3=15