Carlos completed the following actions. Step 1 He placed a compass on point B and drew an arc which intersects the ray BA at point D and ray BC at point E. Step 2 He then placed the compass on point D and drew an arc on the interior of ∠ABC. Step 3 Next, he placed the compass on point E and drew an arc on the interior of ∠ABC, which intersects the previous arc. Step 4 He labeled the intersection of the two arcs as point F and drew ray BF. Which geometric construction has Carlos completed?

Answer:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

\( \frac{180 - 60}{2} = 60\)

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

Answer:

Step-by-step explanation:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

Answer:

I-872807 karnal linani nje le-lasar uxolo

Step-by-step explanation:

if p+iq =5+3i so

p=5 & q=3

Answer:

D

Step-by-step explanation:

Answer:

Option B and D are correct

Step-by-step explanation:

HOPE IT HELPS

Answer:

He plans to drive it every day to work. The equation to the data is y = 20x + 30,000. How many miles does this car have when Mr. Dash bought .-by-step explanation:

The simplified expression without absolute value signs is x - 2.

To simplify the expression |x - 2| when x > 2, we can use the fact that if x is greater than 2, then x - 2 will be positive. In this case, |x - 2| simplifies to just x - 2.

This simplification is based on the understanding that the absolute value function, denoted by | |, returns the positive value of a number. When x > 2, x - 2 will be positive, and the absolute value function is not needed to determine its value. In this case, the expression simplifies to x - 2.

However, it's important to note that when x ≤ 2, the expression |x - 2| would simplify differently. When x is less than or equal to 2, x - 2 would be negative or zero, and |x - 2| would simplify to -(x - 2) or 2 - x, respectively.

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Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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With a 10% interest rate and a change in the exchange rate from $1.50/£1.0 to $1.38/£1.0, a £10,000 deposit in a London bank yields a 1.2% dollar rate of return.

To calculate the dollar rate of return on the £10,000 deposit, we need to consider two factors: the interest earned in pounds and the change in the exchange rate between dollars and pounds.First, let's calculate the interest earned on the deposit. At an interest rate of 10%, the deposit would grow by 10% of £10,000, which is £1,000.

Next, we need to calculate the change in the exchange rate. The initial exchange rate is $1.50/£1.0, and it moves to $1.38/£1.0. To determine the rate of change, we divide the final rate by the initial rate: $1.38/$1.50 = 0.92.Now, we can calculate the dollar value of the deposit after one year. Multiply the initial deposit by the interest earned and then multiply that result by the exchange rate change: £10,000 + £1,000 = £11,000. £11,000 * 0.92 = $10,120.

Finally, to find the dollar rate of return, subtract the initial deposit from the final dollar value and divide by the initial deposit. ($10,120 - $10,000) / $10,000 = 0.012, or 1.2%.Therefore, the dollar rate of return on the £10,000 deposit is 1.2%.

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The transformation can be represented as:

\begin{bmatrix} x' \ y' \ w' \end{bmatrix} = \begin{bmatrix} 1 & 0 & 7 \ 0 & 1 & 4 \ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} x \ y \ 1 \end{bmatrix}

where (x', y') is the transformed point, and w' is the homogeneous coordinate (usually taken as 1 for 2D transformations).

In matrix form, the transformation can be written as:

\begin{bmatrix} x' \ y' \ 1 \end{bmatrix} = \begin{bmatrix} 1 & 0 & 7 \ 0 & 1 & 4 \ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} x \ y \ 1 \end{bmatrix}

So the 3x3 matrix that produces the described transformation is:

\begin{bmatrix} 1 & 0 & 7 \ 0 & 1 & 4 \ 0 & 0 & 1 \end{bmatrix}

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Answer:

2:5

Step-by-step explanation:

Please mark me brainlest, i really nead it

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

Answer:

The domain is thus [0, 1400].

The range is thus [$450, $940]

Step-by-step explanation:

A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.

In this case the salesman has only 1400 items available to sell each week.  Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell).  The domain is thus [0, 1400].

The smallest amount the salesman could receive would be when he has not sold any items:  $450.  

The max amount is then $450 + ($0.35/item)(1400 items), or

                                         $450 + $490, or

                                          $940

The range is thus [$450, $940]

Answer:

maria : 1/3 =0.3 line on top of three

franco:1/4=0.25

Step-by-step explanation:

tried my best hope its right :)

Answer:

Maria: 1/3 cups for each gallon

Step-by-step explanation:

Maria: 2/3 for every 2 gallons.  2/3:2

Franco: 1 1/4 for every 5 gallons.  1 1/4/:5

Okay, so I'm actually going to do it my way.

Maria : \(\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6\)

So, I simply turn it into a bigger fraction and cut it in half!

So, Maria uses 1/3 of a cup for each gallon

Hope this will help you figure out Franco's!!!

Answer:

x = 21.

Step-by-step explanation:

- 1/8 (x + 35)= -7

Multiply through by -8:

x + 35 = 56

x = 56 - 35

x = 21.

The required answer is the all of the given points (A, B, C, and D) are on the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.

To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.

consider the points given and check if they are on the unit circle:

- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)

Checking each point:

- Point A: (1, 0)
   - 1^2 + 0^2 = 1 + 0 = 1
   - The coordinates satisfy the equation, so point A is on the unit circle.

- Point B: (0, -1)
   - 0^2 + (-1)^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point B is on the unit circle.

- Point C: (-√2/2, √2/2)
   - (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
   - The coordinates satisfy the equation, so point C is on the unit circle.

- Point D: (0, 1)
   - 0^2 + 1^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point D is on the unit circle.

In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

x=3

Step-by-step explanation:

13= -2 (x+1) +7x            (given)

13+-2x - 2 +7x              (distributive property of multiplication over addition)

13 + 5x -2                     (combine like terms)

15 = 5x                         (addition property of equality)

3 = x                             (division property of equality)

Step-by-step explanation:

13=-2x-2+7x

15=5x

x=3

please mark it as brainliast

Answer:

I don’t even know, what was the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

16+n=26

26-16=n

Answer:

26 -16=10 So 10 people need Cupcakes

Step-by-step explanation:

Answer:

(x+2)^2 - 6

Step-by-step explanation:

\(8x \leqslant 29\)

Answer:

8x ≤ 29

Step-by-step explanation:

The reason why is because, 8 times 'x' also means 8 multiplied by x.

The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.

If Jim's credit card statement shows a previous balance of $937.20, and he made a payment of $730 and add a new transaction of $502, if his credit card Annual Percentage Rate (APR) is 15%, then his new balance is $1699.20.

To calculate the new balance, the following steps were taken:

Add the previous balance ($937.20) to the new transaction amount ($502.00) to find the current balance before finance charges

$937.20 + $502.00 = $1439.20

Calculate the finance charges by dividing the annual percentage rate (APR) which is 15% by the number of billing periods in a year (usually 12) and then multiplying the result by the average daily balance.

finance charges = (15% / 12 months) × $1439.20

finance charges = $17.49

Add the finance charges to the current balance before finance charges to find the new balance:

$1439.20 + $17.49 = $1656.69

Finally, subtract the payment amount ($730) from the new balance ($1656.69) to find the updated balance:

$1656.69 - $730 = $1699.20.

Therefore, Jim's new balance is $1699.20.

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The measure of angle ROP is 25 degrees.

In the given diagram, TP and TR are tangents to a circle centered at O, and PRT is a triangle with angle PRT equal to 65 degrees. We need to find the measure of angle ROP in degrees.

Therefore, ∠PTO and ∠RTO are both 90 degrees.

We also know that the sum of the angles in a triangle is 180 degrees. Therefore, we can use this fact and the given angle PRT to find the measure of angle POR as follows:

∠PRT + ∠PTR + ∠PTR = 180 degrees

65 + 90 + 90 = 180 degrees

245 degrees = 180 degrees + ∠POR

∠POR = 65 degrees

Finally, we can find the measure of angle ROP by subtracting ∠POR from the given angle ∠TOR:

∠ROP = ∠TOR - ∠POR

∠ROP = 90 - 65

∠ROP = 25 degrees

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Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems:

(1) Right angle      (2) Acute angle        (3)  Obtuse angle         (4)Straight angle              (5)Reflex angle

(6) Complementary angles          (7)Complementary angles

In geometry, special angles refer to specific angles that have special properties or characteristics. These angles include right angles, acute angles, and obtuse angles. A right angle is an angle that measures exactly 90 degrees, while an acute angle is an angle that measures less than 90 degrees. An obtuse angle, on the other hand, measures more than 90 degrees but less than 180 degrees. These angles are important in geometry as they form the foundation for many geometric shapes and concepts. Understanding the properties and characteristics of these special angles is crucial for solving geometry problems and constructing geometric figures accurately.

Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems. These angles include:

1. Right angle: A right angle is an angle that measures exactly 90 degrees. It is formed when two lines intersect perpendicularly.

2. Acute angle: An acute angle is an angle that measures between 0 and 90 degrees. It is smaller than a right angle.

3. Obtuse angle: An obtuse angle is an angle that measures between 90 and 180 degrees. It is larger than a right angle.

4. Straight angle: A straight angle is an angle that measures exactly 180 degrees. It is formed when two lines intersect in a straight line.

5. Reflex angle: A reflex angle is an angle that measures between 180 and 360 degrees. It is larger than a straight angle.

6. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees.

7. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees.

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The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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The correct answer is D) a probability distribution.

A probability distribution is a statement or function that matches the values of a random variable with the probabilities of those values occurring. It provides the likelihood or probability of each possible outcome or value of a random variable.

The probability distribution can be presented in the form of a table, graph, or mathematical formula, allowing us to analyze and understand the behavior of the random variable and make predictions about its outcomes.

The expected value (option A) of a random variable represents the average or mean value that we would expect to obtain over a large number of trials. It is calculated by multiplying each value of the random variable by its corresponding probability and summing them up.

The variation of the random variable (option B) refers to the measure of how spread out the values of the random variable are. It is typically quantified using measures such as variance or standard deviation.

An experiment (option C) refers to a controlled process or procedure that is carried out to observe and measure the outcomes of a random phenomenon.

Therefore, the statement that matches the values of a random variable with the probabilities of those values is a probability distribution (option D).

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Answer:

It doesn't show what the drop down is. However, both of those are linear expressions.

Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).

Leon's expression cancels to 12+6x (because 9+3=12)

Step-by-step explanation:

You have to show the dropdown to be able to answer exactly what they are looking for as an answer.

Answer:34

Step-by-step explanation 34+56

Answer:

Jana can buy 3 shirts

Hence, Jana Can buy 3 shirts and stay under budget

Answer:

\(2 \times {10}^{6} \)

          Answer:

2 x 10 6

Step-by-step explanation:

Answer:

a. 30°

Step-by-step explanation:

The geometric shape shown in the image is an isosceles triangle.

The top angle is 120 and the sum of interior angles in a triangle is equal to 180°.

The angles on the bottom (both legs) are equal, let x represent it so we can write the following equation:

120 + x + x = 180 add like terms

120 + 2x = 180 subtract 120 from both sides

2x = 60 divide both sides by 2

x = 30