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Answer:

EF is 109

DAB is 54.5

Step-by-step explanation:

Applying the central angle theorem, the correct statement would be:

The central angle theorem states that:

Thus:

Measure of minor arc EF = m∠ECF = 109°

m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]

m∠DAB = 54.5°

Therefore, applying the central angle theorem, the correct statement would be:

Learn more about central angle theorem on:

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9514 1404 393

Answer:

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

Answer:

I’m not sure what the question is asking, the picture is blurry, Nassiya.

Step-by-step explanation:

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

Answer:v= x a h add then multiply

Step-by-step explanation:

The probability of winning the jackpot is 1/32728332.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

Learn more about Combinations here :

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9514 1404 393

Answer:

Step-by-step explanation:

Some useful relations are ...

  A triangle inscribed in a semicircle is a right triangle.

  Acute angles in a right triangle are complementary.

  An inscribed angle is half the measure of the arc it intercepts.

  The sum of arcs around a circle is 360°; 180° around a semicircle.

__

1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...

  arc FE = 180° -126°

  arc FE = 54°

Alternate solution: arc FE is twice angle D, which is the complement of 63°.

  2(90° -63°) = 2(27°) = 54° = arc FE

__

2. Arc GJ = 360°-68° -31° -115° = 146°

  angle GHJ = angle GIJ = 146°/2 = 73°

__

3. arc UT = 2(90° -43°) = 94°

  9x -14 = 94

  9x = 108 . . . . . add 14

  x = 12 . . . . . . . . divide by 9

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Answer:

one is 3-x

two is 1

three is x

four is 5-x

hope it helps :)

Answer:

1: 3-x

2: 1

3: x

4: 5-x

Step-by-step explanation:

Hope this helped

Answer: 13

Step-by-step explanation: Hope this help :D

Step-by-step explanation:

Im donating points thank you

Answer:

do you have a graph? we can't do it unless you have one.

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

Answer:

1.2 meters per minute

Step-by-step explanation:

18÷15/15÷15

1.2 meters/1 minute

1.2 meters/minute

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

Answer:

Go to an online grapher called desmos . com where you can graph and get the answer! The website is used in khan academy

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

Cost of 5 pounds of gummy

=$(4.5/3)(5)

=$7.5

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

take -7 for example

when -7 is x, we plug it into the equation

[tex]y=x-6[/tex]

[tex]y = (-7) -6[/tex]

[tex]y=-13[/tex]

you would do this same process for the rest of the x values.

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

Answer:

when f=3.5, f(x) = 1.2

Step-by-step explanation:

[4(3.5) -2] / 10 = 12/10 = 1.2

Answer:

0.29

Step-by-step explanation:

I used a calculator

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

36

Step-by-step explanation:

Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Answer:

where's the two graphs

Step-by-step explanation:

where are the two graphs that we need to choose from??

Answer:

[tex]y = 5x + 3[/tex]

[tex]3y = zx - 1[/tex]

Step-by-step explanation: