GEOMETRY)

In the figure, chords AB and CD intersect at E. If the measure of arc AC is 30 degrees and the m angle DEB=80^o , then find the degree measure of arc DB

Enter just a number for your answer

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In a 30°-60°-90° triangle,  the length of the longer leg is √3 times the length of the shorter leg and  length of the hypotenuse is twice the length of the shorter leg.

ACF is a 30º-60º-90º triangle because of the following reasons;

Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and  length of the hypotenuse is twice the length of the shorter leg,

1 → short leg = 1

2 → hypotenuse = 2

√3 → long leg = √3

Using the Pythagorean theorem., we have that

a² + b² = c²

1² + b² = 2²

b² = 2² - 1²

b² = 4 - 1

b² = 3

√b² = √3

b = √3

Thus, in a 30°-60°-90° triangle,  the length of the longer leg is √3 times the length of the shorter leg and  length of the hypotenuse is twice the length of the shorter leg.

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Answer:

OB

Step-by-step explanation:

no clear explanation for this answer. a picture to demonstrate how i archived it will be shared

The scale factor from triangle ABC to DEF would be,

⇒ 1 / 3

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangle ABC and DEF is shown in figure.

Hence, We can formulate;

The scale factor from triangle ABC to DEF would be,

⇒ AC / DF

⇒ 3 / 9

⇒ 1 / 3

Thus, The scale factor from triangle ABC to DEF would be,

⇒ 1 / 3

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The the 21st, 26th, 65th, and 75th percentiles are 19.45, 21.7, 27.85, and 29.50.

Here, n=8

P21=(21(n+1)100)th value of the observation

=(21⋅9/100)th value of the observation

=1st observation +0.89[2nd-1st]

=15+0.89[20-15

= 19.45

P26 = (26(n+1)100)th value of the observation

=(26⋅9/100)th value of the observation

=2nd observation +0.34[3rd-2nd]

=20+0.34[25-20]

=20+0.34(5)

= 21.7

P65= (65(n+1)100)th value of the observation

=(65⋅9/100)th value of the observation

=5th observation +0.85[6th-5th]

=27+0.85[28-27

= 27.85

P75 = (75(n+1)100)th value of the observation

=(75⋅9/100)th value of the observation

6th observation +0.75[7th-6th]

=28+0.75[30-28]

= 28 + 1.50

= 29.50

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The cars must have had the same Average Speed

Average speed is the mean value of the speed of a body over a period of time. The formula for average speed is needed since the speed of a moving body is not constant and varies across a period of time. Even with varying speed, the values of total time and the total distance covered can be used, and with the help of the formula for average speed, we can find a single value to represent the entire motion.

The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:

[tex]\frac{Total distance covered by the object}{Total time taken}[/tex]

Given :-  

Substituting the given values in the formula for A and B respectively we get

Average Speed of A = [tex]\frac{30}{5}[/tex] m/s = 6 m/s

Average Speed of B = [tex]\frac{42}{7}[/tex] m/s = 6m/s

Thus the cars must have had the same Average Speed.

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Answer:

1/256

Step-by-step explanation:

4^-4 is the same thing as 1/4*1/4*1/4*1/4 which is 1/256

Answer:

1/256

Step-by-step explanation:

4⁻⁴ = 1/(4⁴) = 1/256

The equation that represents the volume of the storage container(rectangular prism) in terms of its width is 12w + 6w²

volume of a rectangular prism = lwh

where

Therefore,

h = 6 ft

l = 2 + w

Hence,

volume of the rectangular prism = (2 + w) × w × 6

volume of the rectangular prism = (2w + w²)6

volume of the rectangular prism = 12w + 6w²

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Hello!

Let's subtract!

⇒ 6x² - 2x + 6 - (6x² - 7x - 2)

⇒ 6x² - 2x + 6 - 6x² + 7x + 2

⇒ 5x + 8

∴ The difference will be equal to 5x + 8.

Answer:

Your answer is 5x+8

Step-by-step explanation:

= 6x^2-2x+6 - (6x^2-7x-2)

= 6x^2-2x+6 - 6x^2+7x+2

= 6x^2- 6x^2-2x+7x+6+2

=5x+8

Hope its helpful!

The following equation simplified by factoring or distributing:

1.) 2(x + 3)

= 2x + 6

2.) 2(x + 3 + y)

= 2x + 6 + 2y

3.) −5 (2x − 3)

= -10x + 15

4.) –5(–8w + p)

= 40w - 5p

5.) 20 + 32w

= 4(5 + 8w)

6.) 84 + 36z

= 12(7 + 3z)

7.) (2x - 6)(5x + 7)

= 10x² + 14x - 30x - 42

= 10x² - 16x - 42

8.) (y - 10)(4y + 2)

= 4y² + 2y - 40y - 20

= 4y² - 38y - 20

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The angle ∠14 and angle ∠16 are the supplementary angles. Then the measure of angle ∠16 will be 188° – 5x.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The line l and the line m are parallel to each other.

The angle ∠7 = 4x – 3 and angle ∠14 = 5x – 8.

Then the measure of angle ∠16 will be

The angle ∠14 and angle ∠16 are the supplementary angles. Then we have

    ∠14 + ∠16 = 180°

5x – 8 + ∠16 = 180°

              ∠16 = 180° – 5x + 8

              ∠16 = 188° – 5x

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Using the given exponential function, it is found that the colony would have 852 bacteria after 10 days.

The exponential function for the colonies' size is given as follows:

[tex]F = I(1 + r)^t[/tex]

In which:

The parameters are given as follows:

I = 55, r = 0.73, t = 5, as 10/2 = 5.

Hence the amount will be given by:

[tex]F = 55(1 + 0.73)^5 = 852[/tex]

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Explanation:

For choice A, order matters. This is because of the positions of first place and second place are different from one another. Since order matters, we have a permutation for choice A and can rule it out.

Choices C and D are ruled out for the same reason.

Choice B is a combination. It doesn't matter what the order of the CDs are. All that matters is the group overall rather than the individual CDs.

Answer:

C

Step-by-step explanation:

Mean: 9+6+18+2+13+3+5= 56/7 = 8

Median: 2,3,5,6,9,13,18 the middle number is 6

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ATTACHED IS THE SOLUTION!!

A function assigns the values. The cost of advertising for 10 minutes will be equal to £100.

A function assigns the value of each element of one set to the other specific element of another set.

Let the number of minutes of advertising be represented by x, and the cost of advertising be represented by y.

Given the function through which the cost of advertising can be determined. Therefore, the cost of advertising for the 10 min program will be when the value of x is 10. Therefore, the cost of advertising for 10 mins will be £100.

Hence, the cost of advertising for 10 minutes will be equal to £100.

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Answer:

The exterior angle is 77

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

2x+11 = x +44

First we need to find x

Subtract x from each side

2x+11-x = x+44

x +11 = 44

Subtract 11 from each side

x+11-11 = 44-11

x =33

Now we can find the exterior angle

2x+11 = 2(33)+11 = 66+11 = 77

The exterior angle is 77

9) The x-intercepts are when y=0. From the factored form, we know the x-intercepts are (-1,0) and (3,0).

10) The y-intercept is when x=0. From the standard form, we know the y-intercept is (0, -3).

Answers:

Lower bound = 41.3

Upper bound = 41.5

===========================================================

Explanation:

49.15 is the smallest f can be while 49.24 is the largest it can be. Well technically we could have something like 49.2499 or 49.24999 and so on. We slowly approach 49.25 but never actually get there

So the variable f is between 49.15 and 49.25 inclusive of the first value but excluding the second value. We can write it as [tex]49.15 \le f < 49.25[/tex]

For similar reasoning, [tex]7.75 \le g < 7.85[/tex]

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

If we wanted to subtract those variables and get the smallest result possible, then we need to pick values that are closest together. It might help to set up a number line.

This means we'd go for f = 49.15 and g = 7.85

The lower bound for f-g is f-g = 49.15-7.85 = 41.3

In contrast, the upper bound is when the two variables are spaced as far apart as possible. The upper bound is f-g = 49.25 - 7.75 = 41.5

Answer:

See below

Step-by-step explanation:

49.2     could  be       49.15 <= f < 49.25

7.8        could be       7.75 <= f < 7.85

Lower bound of   f- g    would then be    49.15  - 7.85 > 41.3

upper bound     49.25 - 7.75 < 41.5

 41.3  < f-g < 41.5

Answer:

The temperature decreased by 9 degrees.

Step-by-step explanation:

Since the temperature in the morning was 2*C & at night, the temperature was -7*C, the temperature had to decrease using this equation =>  ||-7 + 2|| = x, with -2 being the temperature loss added as well. All we have to do is 7+2 = x & 9 = x, with x being the temperature drop.

Answer:

9 degrees Celcius

Step-by-step explanation:

The difference between 2 and -7 is 9.

Answer:

ASA Postulate

Step-by-step explanation:

The two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. (Angle, Common Side, Angle)

Answer:

Hence the expression [tex]$$(p+12)(p-5)=p^2+8p-60$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\frac{\begin{matrix}{} & {} & p & + & 12 \\ \times & {} & p & - & 5 \\ \end{matrix}}[/tex]

____________

[tex]{\frac{\begin{matrix}{} & - & 5p & - & 60 \\ {{p}^2} & + & 12p & {} & {} \\ \end{matrix}}{\begin{matrix}{{p}^2} & + & 8p & - & 60 \\ \end{matrix}}}$$[/tex]

Answer:

Axis of symmetry: x = 2

Vertex: (2,4)

Step-by-step explanation:

Using translation concepts, the function is given by:

C. [tex]y = \sqrt{x - 1} + 4[/tex].

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The graphed function is the square root function shifted one unit to the right(x -> x - 1), and four units up(y -> y + 4), hence the function is:

C. [tex]y = \sqrt{x - 1} + 4[/tex].

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Answer:

2x^2 + 5x - 3

Step-by-step explanation:

Area = length (a) * width (b)

(x + 3) * (2x - 1)

2x^2 + 6x - x - 3 (combine like terms)

2x^2 + 5x - 3

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Answer:

1)D 2) Can't see the function

Answer:

In polynomial function f(x) = 5x² + 2x³ + 4 the leading coefficient is 5.

The leading coefficient of a polynomial is the coefficient of the leading term 5x².

Step-by-step explanation:

For the given geometric sequence, we have:

[tex]a_1 = 9\\\\a_n = (-1/3)*a_{n-1}[/tex]

So the correct option is B.

Here we have the geometric sequence:

[tex]a_n = 9*(-\frac{1}{3} )^{(n - 1)}[/tex]

To get the initial value of the geometric sequence, we just need to replace n by 1, so we get:

[tex]a_1 = 9*(-\frac{1}{3} )*(1 - 1) = 9[/tex]

Now, notice that the common ratio is (-1/3), this means that each term of the sequence is (-1/3) times the previous term.

[tex]a_n = (-1/3)*a_{n-1}[/tex]

Then the correct option is B.

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Place name of eights are ten thousands place & tens place & 80000, 80 are the values respectively.

The expanded form of a number is splitting of numbers based on place value. The place are ones, tens, hundreds, thousands, ten thousand etc

that is, the number represented by the sum of each digit multiplied by its place value is called the expanded form of a number.

Example : Expanded form of 4567 is 4000+500+60+7. where 4 is in thousands place, 5 is in hundreds place, 6 is in tens place and 7 is in ones place.

Given that, The speed of light is 186,282 miles per second.

The number is 186282.

Expanding the number, we get,

186282 = 100000+80000+6000+200+80+2

Here in the number 186282, eight present in the ten thousands place and in the tens place.

Since one eight is in ten thousands place, so the value is 80000

And the another eight is in the tens place, so the value is 80.

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If the Height of Eiffel Tower in Paris is 1063 feet tall and we took an elevator 3/4 up the tower then we would be 797.25 feet from the ground.

Given The height of the Eiffel Tower is 1063 feet tall. We have taken an elevator that is 3/4 up the tower.

Height is the measurement of someone  from head to foot or from base to top. It is the distance upward.

Height of The Eiffel tower is 1063 feet.

We have taken 3/4 up the elevator.

Then the height from ground to us can be calculated by multiplying 1063 by 3/4 which will be as under:

=1063*3/4

=729.25 feet

Hence if the height of the Eiffel Tower is 1063 feet then we would be 729.25 up from the ground if we have taken elevator 3/4 up the tower.

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