In the diagram below, OA I OC. Find the value of x. Show your work.

Answer:

1: "An equilateral triangle is never an obtuse triangle" & "An equilateral triangle is never an isosceles triangle."

2: Acute Isosceles Triangle

3: False! Option B.

4: D

Step-by-step explanation:

2: Isosceles Triangles have two equal sides. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

3: An equilateral triangle is a triangle in which all the sides and all the angles are equal.

4: In order for a triangle to be isosceles, it has to have two same sides. For a triangle to be equilateral, all sides and angles need to be the same. Refer to reasoning in Question 2 for next explanation.

Step-by-step explanation:

Hope it helps.

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Answer:

I'm not sure

Step-by-step explanation:

sorry

Answer:

1.8333

Step-by-step explanation:

12x-2=20

Add 2 to both sides:

12x=22

Divide both sides by 12:

[tex]x=\frac{22}{12}\approx 1.8333[/tex]

Hope this helps!

Answer:

  (b)  $880

Step-by-step explanation:

You want the cost of an 8-inch by 11-inch ad at the rate of $10 per square inch.

The area of the ad is the product of its dimensions:

  A = LW

  A = (11 in)(8 in) = 88 in²

The cost is $10 for each of those square inches:

  ($10/in²)×(88 in²) = $880

The cost of the full-page ad is $880, choice B.

To find the missing probability for consuming two or more cups of coffee in the data scientist's distribution, subtract the sum of the probabilities of all other events from 1, ensuring that all probabilities in the distribution meet the criteria of summing to 1 and each being between 0 and 1.

The question pertains to constructing a probability distribution for a data scientist's daily coffee consumption at work. The random variable C stands for the number of cups of coffee she drinks on a given day. To calculate the missing probability for someone who has two or more cups of coffee, one must know the individual probabilities of all other events (0, 1, 2, etc., cups of coffee). The sum of all these probabilities must equal 1, since that represents the certain event that some outcome in the distribution will occur. To find the missing probability, one would subtract the sum of the probabilities for 0 and 1 cups (if those are the only other events) from 1.

For example, if the probability of drinking 0 cups is 0.1 and the probability of 1 cup is 0.3, then the probability of drinking two or more cups would be 1 - (0.1 + 0.3) = 0.6. Important characteristics of a discrete probability distribution include that the sum of probabilities is 1 and that each individual probability is between 0 and 1, inclusive.

Answer:

[tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}\\[/tex] ,  ([tex]x_1,x_2,[/tex] zeros of the polynomial)

Step-by-step explanation:

Given the zeros of a polynomial, [tex]x_1\: and \:x_2[/tex], to determine the vertex, follow these steps.

Find the equation of symmetry x=h where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

Substitute the value of h into the quadratic function f(x) to find the maximum of minimum point.

Therefore, the coordinate of the vertex will be:

 [tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}[/tex]

Answer:

Step-by-step explanation:

This is a Compound interest problem with a decreasing rate. It is given by the formula:

A = P(1 +/- R)^T

Where A = amount after time T

P = principal or initial amount

R = rate of increase or decrease

T = time elapsed

There's +/- because + is used in the case when the amount is increasing at a particular rate and - is used whe the amiunt is decreasing.

In 2000 there were 5,400 birds and the number of birds is decreasing by 3% (0.03) every year.

The number of birds, y, that will be there x years after 2000 will be:

y = 5400( 1 - 0.03)ˣ

2025 is 25 years ahead of 2000, so x = 25

Therefore, the number of birds in 2025 will be:

y = 5400(1 - 0.03)^25

y = 5400(0.97)^25

y = 5400 * 0.467

y = 2522 birds

There will be 2522 birds in 2025.

The equation to represent the number of birds after x years is y = 5,400(1 - 0.03)^x. To find the number of birds in 2025, we use x = 25 in the equation to get y ≈ 3,295 birds.

To write an equation that represents the number, y, of birds x years after 2000 with a yearly decrease of 3%, we use the formula for exponential decay, which is y = a(1 - r)^x. Here, a is the initial amount, r is the rate of decrease, and x is the number of years since 2000.

In this case, the initial number of birds in 2000 was 5,400, so a = 5,400, and the rate of decrease is 3%, meaning r = 0.03. The equation becomes y = 5,400(1 - 0.03)^x.

To find out the number of birds in 2025, we calculate x as the number of years from 2000 to 2025, which is 25 years. Thus, the calculation results in y = 5,400(1 - 0.03)^25. After solving, we round the result to the nearest whole number.

Performing the calculation, y ≈ 3,295 birds.

Answer:

k  =  y/x

as a fraction for both

Answer:

7b+6x-9y

Step-by-step explanation:

Parentheses do not matter.

2x-9y+4x+7b=

6x-9y+7b

Answer: 6x-9y+7b

Step-by-step explanation:

A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.

The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.

The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.

Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.

To know more about probability, here:

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Answer:

The answer would be 13.3.

Step-by-step explanation:

Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.

Answer:

13.3 kilometers

Step-by-step explanation:

You need to use Pythagorean theorem for x+3+y.

The distance you would be looking for is 4+3+6.3=13.3

Answer:

0.942 ft/s

Step-by-step explanation:

The rate of descent is the rate at which the hot air balloon is descending, that is, how fast it is descending.

We calculate this by finding how far it has moved and then dividing it by the time it took it to descend.

It moved from 5275 ft to 3128 ft. The displacement is:

5275 - 3128 = 2147 ft

The time taken is 38 minutes. In seconds, it is:

38 * 60 = 2280 seconds.

Therefore, the rate of descent is:

2147 / 2280 = 0.942 ft/s

Answer: B

Step-by-step explanation:

To determine the surface area of a model pyramid that has been scaled down, we must first compute the area of the original pyramid, and then multiply that area by the square of the scale factor.

To find the surface area of a square pyramid we first calculate the area of the base which is side squared (152 = 225 sq ft), and then calculate the area of the four triangular faces. For the latter we can use the formula 0.5 x base x height, where base is the side of the pyramid (15 ft) and height is the slant height. The slant height can be calculated using Pythagoras' theorem which constitutes of half of the base and the height of the pyramid, this will give us the slant height, which then can be used in the surface area formula.

Next, if the pyramid is scaled down by a factor of 0.5, both lengths and areas are reduced by that factor. Hence, multiply the original area by 0.52 = 0.25 to find the surface area of the model pyramid.

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Answer:I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:

Answer:

What does that P suppose to mean and where are your answer choices?

Step-by-step explanation:

Answer:

negative,1800 feet , y=16.25x+1,800

Step-by-step explanation:

The correlation, y-intercept, and equivalent representations of given points all depend on the data's plot on the graph. The correlation is classified as positive, negative, or none based on the scatter pattern of points. The y-intercept is where the line intersects the y-axis, and it could be any of the provided options. The equation representing the line of best fit depends on the slope (gradient) and y-intercept of the line.

Without the actual data points, it's hard to definitively answer, but I'll provide some general guidance. The correlation of data points can be categorized as positive, negative, or none depending on how they are scattered on the graph. A positive correlation means as one variable increases, the other increases too, while a negative correlation means as one variable increases, the other decreases. When there's no pattern to the points, the correlation is none.

In terms of y-intercept, it's the point where the line crosses the y-axis. If we assume y-intercept as one of the options provided, e.g. 800 feet, 1200 feet, 1800 feet, and 2200 feet, it depends on how the line fits on the graph.

Similarly, the equivalent representation like Y=800 or Y=-17.5x+2200, Y=-16.25x+1800, or Y=-6.25x+1200 is dependent on the actual pattern of the data points. These representations are equations of straight lines where '-17.5', '-16.25', and '-6.25' represent the slope and '2200', '1800', '1200' respectively are the y-intercepts.

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Answer:

View answer in the photo.

Step-by-step explanation:

Answer:

$823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4

= 123.2

Balance = principle + interest

700 + 123.2

823.2

Answer:

A =823.20

Step-by-step explanation:

A = P (1 + rt)

Where A is the amount in the account

P is the principle,  r is the rate and t is the time

A = 700(1+4.4% *4)

Change to decimal form

A = 700(1+.044 *4)

A = 700(1+.176)

A =823.20

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

Final answer:

Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.

Explanation:

Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.

On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.

In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.

Answer:

B

Step-by-step explanation:

You have to evaluate the power and calculate the sum or difference in order to get the answer

Answer & Step-by-step explanation:

[tex]K(5,4)[/tex]

Remember this:

[tex](x,y)[/tex]

[tex](5_{x},4_{y})[/tex]

When you are going to graph a point, you always start along the x-axis (the horizontal), then you move on to the y-axis (vertical). Both of the numbers in K are positive, so we will stay in Quadrant I.

For x, starting at (0,0) move to the right to point 5. From here, move up to the line that has value 4. Mark this spot with a dot and label if needed.

*If the x value is positive, you move to the right. If it is negative, you move to the left.

If the y value is positive, you move up. If it is negative, you move down.

Final answer:

To graph point K at (5,4), draw axes, locate 5 on the x-axis, 4 on the y-axis, and mark the point at the intersection.

Explanation:

To graph point K at (5,4), you start by drawing a set of perpendicular lines representing the x-axis (horizontal) and y-axis (vertical), usually with arrows on each end to indicate that they extend infinitely.

Each axis should be marked with evenly spaced intervals. Locate the number 5 on the x-axis (the horizontal axis) and then move vertically until you're level with the number 4 on the y-axis (the vertical axis).

Plot point K at the intersection of these two points.

This gives you the coordinates of point K where the first number in the parentheses is the position on the x-axis and the second number is the position on the y-axis.

Answer:

180.48[tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle = bh

Area of a circle = π[tex]r^{2}[/tex]

Rectangle = 8 x 10 = 80

Circle = 3.14([tex]8^{2}[/tex]) = 200.96

But because it's a hlaf circle, divide the number by 2

100.48

Now add the numbers together

180.48[tex]ft^{2}[/tex]

Answer:

0

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

    = (3-3)/(20-19)

    = 0/1

    = 0

Answer:

4^4 x 6^6= 11943936

Step-by-step explanation:

hope this helps

Answer:

x = 1586130/4778591

Step-by-step explanation:

4363x + 637 - 6282x = 562x/5262 - 282

4363x-6282x+637 = 562x/5262 - 282

-1919x+637 = 562x/5262 - 282

-1919x+637 = 562x/5262 - 282

        -637                           -637

-1919x = 281x/2490 - 637

-1919x * 2490 = 281x/2490 - 637 * 2490

-4778310x = 281x-1586130

-4778310x = 281x-1586130

        -281x               -281x

-4778591x = -1586130

-4778591x/-4778591 = -1586130/-4778591

x = 1586130/4778591

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2 (or if you are a nerd (a+bi)(a-bi) = c^2)

plug in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

Answer:

Step-by-step explanation:

hi