AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF. 4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G. By the congruent supplements theorem, what can you conclude? AngleCBG Is-congruent-to AngleDBG AngleFBC Is-congruent-to AngleDBG AngleCBG is supplementary to AngleDBF. AngleFBC is supplementary to AngleDBG.

Answer:

\(\huge\boxed{\sf 60 \ miles}\)

Step-by-step explanation:

Given that,

3 hours = 180 miles

Divide 3 to both sides

3/3 hour = 180/3 miles

1 hour = 60 miles

So, Mom drove 60 miles in one hour.

\(\rule[225]{225}{2}\)

The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.

if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?

The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.

The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".

in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.

in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .

then it will be

b = 12

c = 13

a² = c² - b²

a² = 13² - 12²

a² = 169 - 144

a² = 25

a = 5

Answer:

B. quadrilateral; irregular

Step-by-step explanation:

Quadrilateral because it has 4 sides

Irregular because its angles and sides aren't all equal

Answer: hope this helps

a) m = -0.5

b) The percentage of men in this city who smoke has decreased at a rate of 0.5% per year after 1990.

The slope of the model, m, represents the rate of change of the dependent variable (y) with respect to the independent variable (z). In this case, the slope is -0.5 which means that for every one year increase in time (z) after 1990, the percentage of men smoking cigarettes (y) decreases by 0.5%. This means that the rate of change of male smokers in this city over time is decreasing.

Step-by-step explanation:

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer: The correct option is (D) 4.

Step-by-step explanation:

According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.

Given:

DE = 2

CE = 6

BE = 3

Now calculating the the value of EA.

As per theorem:

\(DE\times CE=BE\times EA\)

Now putting the all the given values in this expression, we get:

\(2\times 6=3\times EA\\\\EA=4\)

Therefore, the measure of EA is 4.

The volume of the solid of revolution generated when the region bounded by \(y = x^3\) and y = px is rotated about the line x = 1 is given by the integral ∫[0, √p] \([(px - 1)^2 - (x^3 - 1)^2] dx\), resulting in a constant value in cubic units.

To find the volume of the solid of revolution generated when the region bounded by\(y = x^3\) and y = px is rotated about the line x = 1, we need to  determine the intersection points, the outer radius, the inner radius, and then set up the integral for the volume.

Intersection Points:

To find the intersection points between \(y = x^3\) and y = px, we equate the two equations:

\(x^3 = px\)

This can be rearxranged to:

\(x^3 - px = 0\)

Factoring out x, we get:

\(x(x^2 - p) = 0\)

So, either x = 0 or \(x^2 - p = 0\).

If x = 0, then y = 0, which is the point of intersection when p = 0.

If \(x^2 - p = 0\), then x = ±√p, and substituting this into either equation gives the corresponding y-values.

So, the intersection points are (0, 0) and (√p, p) or (-√p, p).

Outer Radius (R):

The outer radius is the distance from the axis of rotation (x = 1) to the outer boundary of the region, which is given by the function y = px. Thus, the outer radius is R = px - 1.

Inner Radius (r):

The inner radius is the distance from the axis of rotation (x = 1) to the inner boundary of the region, which is given by the function \(y = x^3.\) Thus, the inner radius is \(r = x^3 - 1\).

Volume Integral Setup:

To calculate the volume, we use the formula:

V = ∫[a,b] \([R^2 - r^2] dx\)

Substituting the values for R and r, we have:

V = ∫[a,b] \([(px - 1)^2 - (x^3 - 1)^2] dx\)

where [a, b] represents the interval over which the region is bounded.

The integral limits, [a, b], can be determined by solving the equations of intersection points. For example, if the region is bounded between x = 0 and x = √p, then the integral limits would be 0 and √p.

Volume Calculation:

Integrating the expression \([(px - 1)^2 - (x^3 - 1)^2]\) with respect to x over the appropriate limits [a, b], you can evaluate the integral to find the volume in terms of the given constants and variables.

V = ∫[a,b]\([(px - 1)^2 - (x^3 - 1)^2] dx\)

The result will be a constant in cubic units, as stated.

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The equation that represents the situation could be 3/4(18 + s) = 31.50 and the solution is s = 24 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

Part (A)

Given that;

Cost of skirt = s

cost of blouse = $18

She bought it at 3/4 of that cost,

The Total pay = 3/4 of the total cost

3/4(18 + s) = 31.50

Part (B)

By the distributive property of multiplication then we get;

3/4(18) + 3/4(s) = 31.50

3/4(s) = 31.50 - 13.5

3/4(s) = 18

s = 18 x  4/3 = 24

Hence "The answer is s = 24"

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Answer:

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Step-by-step explanation:

A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).

If the spinner is spun two times, the sample space is given as follows.

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

a) The distribution of X is a hypergeometric distribution.

b) The probability that Evan knows at least 7 of the 10 key terms that appear on the exam is approximately 0.436.

a) Since there are 100 key terms, and Evan will only see 10 of them, the distribution of X is a hypergeometric distribution.

If s is the number of key terms Evan studies, then the parameters are N=100, M=s, and n=10.

b) If Evan studies 75 key terms, then M=75 and N=100.

The probability that he knows at least 7 of the 10 key terms that appear on the exam is the probability that X is greater than or equal to 7, where X has a hypergeometric distribution with parameters N=100, M=75, and n=10.

Using a calculator or a computer, the probability that X is greater than or equal to 7 is:P(X ≥ 7) ≈ 0.436

Therefore, the probability that Evan knows at least 7 of the 10 key terms that appear on the exam is approximately 0.436.

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.

Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.

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To construct a confidence interval for the proportion of adults who believe that economic conditions are getting better, the pollster needs to consider the sample size and margin of error.

In part (a), the pollster has an estimate of the proportion (0.25) and wants a margin of error of 0.02 with a 95% confidence interval. To determine the sample size needed, the pollster can use the formula:

sample size = (Z^2 * p * q) / E^2

where Z is the z-score for the confidence level (1.96 for 95%), p is the estimated proportion (0.25), q is 1-p, and E is the margin of error (0.02).

Plugging in these values, we get:

sample size = (1.96^2 * 0.25 * 0.75) / 0.02^2
sample size = 861.3

Therefore, a sample size of 862 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, based on the estimate of 0.25.

In part (b), if no estimate of p is available, the pollster can use a conservative estimate of p = 0.5 to calculate the sample size needed. This is because a sample size calculated using p = 0.5 will be the largest sample size needed for any value of p.

Using the same formula as before, we get:

sample size = (1.96^2 * 0.5 * 0.5) / 0.02^2
sample size = 2401

Therefore, a sample size of 2401 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, without an estimate of p.

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

90,000

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

1+2 = 3

3x2 = 6

6divdedby6= 0

Answer:

30c + 10(0.2) = 40(0.32)

Step-by-step explanation: i hope this answer your question if this is wrong or correct please let me know

Answer:

20.25

Step-by-step explanation:

Step 1: Turn 32 3/4 into a improper fraction.

To do this, multiply the whole number (32) by the denominator (4) to get the answer of 128. Then add 128 to the numerator (3), to get 131. Keep the denominator the same.

The outcome is 131/4

Step 2: Turn 12 1/2 into a improper fraction.

Do the same thing as with 34 3/4. Multiply 12 by 2, get 24 and add 24 to 1.

The outcome is 25/2

Step 3: Find the common denominator. In this case, the common denominator is 4, so multiply 25, and 2 by 2 to get 4.

Step 4: Subtract!

131/4 - 50/4 = 81/4

Step 5: Turn 81/4 into a decimal.

The appropriate measures of central location for ordinal data are median and mode, the appropriate measures of variability for nominal data are range and standard deviation, and the appropriate measures of relative standing for ordinal data are percentiles and quartiles.

The appropriate measures of central location for ordinal data are the median and the mode. The median is the midpoint of the data set and the mode is the most frequently occurring value in the data set.
The appropriate measures of variability for nominal data are range and standard deviation.

Range is the difference between the highest and lowest value in the data set and standard deviation is a measure of how spread out the data is around the mean.
The appropriate measures of relative standing for ordinal data are percentiles and quartiles. Percentiles divide the data into 100 equal parts and quartiles divide the data into four equal parts.
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Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

The values of a and b are 120° and 60 respectively

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

In circle geometry, There is a theorem that states that the angle between the radius of a circle and it's tangent is 90°.

Therefore in the quadrilateral, angle M and N are 90°

Therefore;

b = 360-( 90+90+120)

b = 360 - 300

b = 60°

Therefore since b is 60°, a theorem also says that angle at the center is twice angle at the circumference.

a = 60 × 2

a = 120°

therefore the values of a and b are 120° and 60° respectively.

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Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126\)

Sylvia's holdings in Maxima Growth add to her taxable income for the year assuming she decides not to sell the fund this year is $50.

Dividend income is a sort of revenue received by shareholders of certain companies. Dividend income is generated by company's profits and distributed on a per-share basis.

Some key features regarding income dividend are-

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The complete question is-

Sylvia owns 100 shares of Maxima Growth mutual fund.

In December she received a check for $50, payment of ordinary income dividend distributions and capital gains distributions.

Sylvia also noticed in her daily newspaper listings that Maxima Growth is now worth $2 per share more than what she purchased it for at the beginning of the year.

How much will Sylvia's holdings in Maxima Growth add to her taxable income for the year assuming she decides not to sell the fund this year?

Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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