Pls help this last question

Answer: Choice A)  Angle-Angle-Side

This abbreviates to AAS.

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Explanation:

AC bisects angle DAB, which tells us that angle DAC and angle CAB are the same measure (in this case, each is 106/2 = 53 degrees).

Because angle DAC = angle CAB, this forms the second "A" of "AAS". The first "A" is due to angle ABC = angle ADC.

The "S" refers to AC = AC by the reflexive property.

"Angle-Angle-Side" shortens to "AAS". Be sure not to mix it up with ASA which is a similar theorem. In the case of AAS, the side is not between the angles mentioned. If we knew that AB = AD, then we could use ASA.

Answer:

The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Step-by-step explanation:

The equation of the line is defined by the following formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - y-Intercept.

[tex]m[/tex] - Slope.

In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:

[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)

Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]

[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]

[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]

[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]

[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)

If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:

[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]

[tex]k+10 -4\cdot k -2 = 20[/tex]

[tex]-3\cdot k +8 = 20[/tex]

[tex]-3\cdot k = 12[/tex]

[tex]k = -4[/tex]

The value of the slope is:

[tex]m = \frac{9-7}{2-6}[/tex]

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

The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Answer: 150

Step-by-step explanation:

30% = 0.3

100-30=70

70% = 0.7

0.7 X 500 = 350

500-350 = 150

For every 500 Americans, the number of people  fall asleep before the New Year is, 150

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

30% of Americans will fall asleep before midnight

For every 500 Americans, about how many will be sleeping before the New Year?

Percentage = num. of people fall asleep in sample/Total people in sample ×100

30 = N/500×100

N  = 150

Hence, the number of people fall asleep is 150

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Answer:

Price of adult ticket = x = $13

Price of student ticket = y = $6

Step-by-step explanation:

Let Price of adult ticket = x

Price of student ticket = y

Now, making equations:

On the first day of ticket sales the school sold 6 adult tickets and 7 student tickets for a total of $120. The equation will be:

[tex]6x+7y=120[/tex]

The school took in $168 on the second day by selling 12 adult tickets and 2 student tickets. The equation will be:

[tex]12x+2y=168[/tex]

Now, solving the equations simultaneously to find values of x and y.

Let:

[tex]6x+7y=120--eq(1)\\12x+2y=168--eq(2)[/tex]

Multiply eq(1) by 12 and then subtract both equations

[tex]12x+14y=240\\12x+2y=168\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\--------\\12y=72\\y=\frac{72}{12}\\y=6[/tex]

So, we get value of y: y=6

Now, Put value of y in equation 1 to find value of x

[tex]12x+2y=168\\Put\:y=6\\12x+2(6)=168\\12x+12=168\\12x=168-12\\12x=156\\x=\frac{156}{12}\\x=13[/tex]

So, we get value of x: x=13

The answer would be:

Price of adult ticket = x = $13

Price of student ticket = y = $6

Answer:

Number 1 is nonlinear because the line is not straight and number 2 is linear.

Step-by-step explanation:

Answer: I fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.

Step-by-step explanation:

Null Hypothesis H₀ : average energy expenditure is 2100 calories per day

Alt Hypothesis H₁: average energy expenditure is NOT 2100 calories per day

now since

P-value (0.10) > ∝ (0.05),

then he should say;

i fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.

9514 1404 393

Answer:

  [tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.

The value of the cosine is ...

  cos(11π/12) ≈ -0.9659

The values of the answer choices are ...

  a) -0.9659 . . . . matches the required value

  b) -0.2588

  c) 0.2588

  d) 0.9659

_____

You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).

Answer:a

Step-by-step explanation:

Edge:)

Answer:

factors

Step-by-step explanation:

Answer

1/9

Step-by-step explanation:

Hope this helps

Answer:

0.11111111111

Step-by-step explanation:

1/9 = 0.11111111111

Answer:

0>-16

Step-by-step explanation:

______________________________

 - So looking at this most of them equal 0.333333333, which in fraction form is [tex]\frac{1}{3}[/tex], so 3 ÷ 8 must be the answer.

 - So looking at each problem answer, most of them are 3.125, except for 8 ÷ 25.

______________________________

Answer:

b) 12 is right answer

I hope it's helps you

Answer:

The answer is 16.

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Answer:

Hi! The correct answer is 16!

Step-by-step explanation:

Simplify the expression

Answer:

C

Step-by-step explanation:

5/1 is 5, 10/2 is 5, 25/5 is 5, 35/7 is 5, 5=5=5=5.

Answer:

250/250

Step-by-step explanation:

Answer:

The mean squares has d.f (n-1)

Step-by-step explanation:

The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that

Total df= Within df + Between df

n-1=  (n-k)+(k-1)

Between SS has (k-1) d.f

Within SS has (n-k) d.f

These two quantities are known as mean squares and has d.f (n-1)

Answer:

Step-by-step explanation:

47+34=9k

81=9k

k=81/9=9

k=9

Step-by-step explanation:

81 = 9k

/9 /9

9 = k

I found this to be the right awnser, hope this helps.

Answer:

-1/4 is the correct answer

Step-by-step explanation:

you’re going down 1 and over 4 :)

Answer:

C) [tex]\frac{1}{125}[/tex]

Step-by-step explanation:

on edg

Answer:

Either a tangent line or a line parallel to the axis of symmetry will do.

A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form  x=k  or  y=k  is the easiest way

hope it helps you

Answer:

the first equation is True, second one is not and I'm not sure what the third equation is . . .

Step-by-step explanation:

Equation 7x=7x is true for all values of x. Therefore, option A is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here,

A) 7x=7x

So, the equation that is true for all values of x.

B) Now, x-6=6-x

The equation that is not true for all values of x.

C) x.2.(-6) = x:3.4

The equation that is not true for all values of x.

Therefore, option A is the correct answer.

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Answer:

[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

We get [tex]-\frac{1}{\sqrt{3} }[/tex]

Now checking all the options.

Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]

Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]

Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]

Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]

Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]

Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]

Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]

Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]

So, looking at the options, only Option A has the same result as given question

So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Answer: =1.34

Step-by-step explanation:

In standard density curve

P(Z<z) = Area left of z, P(Z>z) = area right of z.

P(Z<z) +P(Z>z) =1

Given:  z is a standard normal random variable.

To find : value of z if rea to the right of z is 0.01.

i.e. P(Z>z) =0.01

P(Z<z) =1-0.01 = 0.09

from z-score table, z value for this is 1.34.

Hence, z= 1.34

Answer:

a circle's area is measured in square units Finding the area of a square is easy length times width. A circle though has only a diameter or distance across.

Step-by-step explanation:

Answer:

The two problems/expressions are the same because of the negative and positive rule.

Step-by-step explanation:

+ - = -

- + = -

- - = +

+ + = +

Answer:

t = 8w + w/2

Step-by-step explanation:

Given that :

Weight of bird = w

Amount of water consumed = 8*w = 8w

Amount of food ate = 0.5*w = 1/2w

Hence, the combined weight of water and food (t) consumed by the humming bird :

t = amount of water consumed + amount of food ate

t = 8w + w/2