Please help!!!!!! :(

Answer:

x = 8

Step-by-step explanation:

Hi there!

We're given that OB is the angle bisector of angle AOC.

An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.

We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.

Set up an equation:

[tex]8x=16x-64[/tex]

Combine like terms:

[tex]-8x=-64\\x=8[/tex]

Therefore, x = 8.

I hope this helps!

Using the probability concept, it is found that there is a [tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of both events is the multiplication of the probabilities of each event, thus:

[tex]p = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}[/tex]

[tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A similar problem is given at https://brainly.com/question/15536019

Answer:

slope: -15/7

intercept: ( 0, 5/7)

Step-by-step explanation:

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

Answer:

42 miles

Step-by-step explanation:

180/3=6 6x7=42

Answer:

420 miles in 7 hours

Step-by-step explanation:

You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

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3.2128 is a rational number because you can not make it into a fraction/ratio

Answer:

The blur of the photo I do not understand sorry

Step-by-step explanation:

ty for the points

Answer:

it would be 15 or 14 that only came up when I did it

Step-by-step explanation:

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:

1:102

2:78

3:102

4:78

5:102

6:78

7:102

8:78

Answer:

17.92

Step-by-step explanation:

Answer:

3x = 33 in

Step-by-step explanation:

The spider's movement is an illustration of a parabola.

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 20mm, midway 160mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (80,20)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]

[tex]\mathbf{0 = 6400a + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{6400a =- 20}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{320}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus = (h,k+p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]

[tex]\mathbf{p = -\frac{320}{4}}[/tex]

[tex]\mathbf{p = -80}[/tex]

So, we have:

[tex]\mathbf{Focus = (80 , 20-80)}[/tex]

[tex]\mathbf{Focus = (80 ,-60)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 80}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}\\[/tex]

So, we have:

[tex]\mathbf{y = 20+80}[/tex]

[tex]\mathbf{y = 100}[/tex]

Read more about parabolas at:

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Answer:

f= −x+3

     7x

Step-by-step explanation:

fx       =  −1          3

x        7     x+  7

-------------------------

x                 x

f= -x+3

       7x

f= -x+3

       7x

Answer:

A.

Step-by-step explanation:

f(x) = (3-x)/7

First we find x in terms of f(x:-.

7f(x) = 3 - x

x + 7f(x) = 3

x =  3 - 7f(x)

Now we replace x by f-1(x) and f(x) by x:

f-1(x) = 3 - 7x.

you do 4320÷ 9= 108 and that's your answer right there

Answer:

A is the answer

Step-by-step explanation:

Let x equal hotdogs and y equal drinks

2 hotdogs plus 2 drinks = 4.75

3 hotdogs plus 1 drink = 7.75

Answer:

Step-by-step explanation:

sum of angles of a triangle=180°

9x-2+3x-19+3x+6=180

15x-15=180

15x=180+15=195

x=195/15=13

m∠G=9x-2=9×13-2=117-2=115°

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]

Using a calculator :

Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]

Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]

Therefore, the confidence interval is (205.20 ; 230.20)

Learn more :https://brainly.com/question/25173276

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

The given parameter is:

[tex]\mathbf{n = 10}[/tex]

Start by calculating the degree of freedom

[tex]\mathbf{df = n - 1}[/tex]

[tex]\mathbf{df = 10 - 1}[/tex]

[tex]\mathbf{df = 9}[/tex]

Next, calculate the mean

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]

[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]

[tex]\mathbf{\bar x = 217.7}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]

[tex]\mathbf{\sigma = 17.49}[/tex]

Calculate the standard error

[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]

[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]

[tex]\mathbf{SE = 5.53}[/tex]

At 95%, df = 9. the t-value is:

[tex]\mathbf{t= 2.262}[/tex]

So, the confidence interval is:

[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]

So, we have:

[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]

Split

[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]

[tex]\mathbf{CI = (205,19, 230.20)}[/tex]

Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

Read more about confidence intervals at:

https://brainly.com/question/2396419

Answer:

-8

Step-by-step explanation:

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

For more about triangles,

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Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

Answer:

No

Step-by-step explanation:

7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side

Answer:

No

Step-by-step explanation:

two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.

a-b < c < a+b.

7-3 < 10 < 7+3

4 < 10 < 10

False,

Answer:

[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]

Step-by-step explanation:

The slope: m= 3/8

hope this helps.

Answer: fixed rate mortgage

Step-by-step explanation:

Its correct

Fixed rate mortgage will be for Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds.

A fixed rate mortgage is one in which the interest rate remains constant for the duration of the loan.

This means that the monthly payment amount remains constant, making budgeting and planning easier for borrowers.

Tanya should look for a mortgage with a low interest rate and a manageable monthly payment that fits into her budget.

A shorter loan term means a higher monthly payment but less overall interest paid over the life of the loan.

Tanya has worked out a budget that allows her to pay her mortgage while also saving for her three young children's college funds.

Thus, the answer is Fixed rate mortgage.

For more details regarding "Fixed rate mortgage", visit:

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Your question seems incomplete, the probable complete question is:

Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds Which Mortgage is Right?

Answer:

The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.

Step-by-step explanation:

16 - 2.5 = 13.5  ( The amount of gas the car has already used )

30 * 13.5 = 405  ( How far the car traveled with 13.5 gallons of gas )

Hope this helps!

Answer:

-3/7

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the answer is -3/7.

Step-by-step explanation:

to divide by a fraction is the same as to multiply by the upside-down fraction.

in your example

4 / 2/5 = 4 × 5/2 = 20/2 = 10

by the way, also a whole number is a fraction.

4 = 4/1

so, fully formal, the whole operation above looks like

(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10