given : angle 1 is congruent to angle 2 . prove : p || q

Answer:

1x3=3

0.4x3=1.2

0.5x1=0.5

0.4x0.5=0.2

Step-by-step explanation:

_____________

3          !      0.5

______________

1.2        !        0.2

______________

Answer:

23 people showed up for Angela's party.

Step-by-step explanation:

Hi there!

We're given that 9 people at the party had to leave early, and there are 14 people left.

Let n be equal to the original number of people who showed up for Angela's party.

n - 9 = 14

n = 14 + 9

n = 23

Therefore, 23 people showed up at her party.

I hope this helps!

23 people showed up for her party

The given parameters are:

People that left early = 9

People remaining = 14

Represent the number of people in the party with x.

So, the value of x is calculated as:

x =14 + 9

Evaluate the sum

x = 23

hence, 23 people showed up for her party

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Answer:

Step-by-step explanation:

The frame --  if it means the box on the outside which has 4 right angles, or the hexagon in the middle which has 0 right angles

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Answer:

Step-by-step explanation:

If the solutions are x = -3 and x = -1, then (x - 3) (x - 1) will give us our answer. Using the FOIL method,

(x - 3) (x - 1)

x^2 - x - 3x + 3

x^3 - 4x + 3 = 0

Your answer is 3

The measurement of side DF is 4cm.

Here in the figure attached below,

Given two triangles ΔABC and ΔDEF

Also given that,

ΔABC and ΔDEF are congruent to each other.

Given AC = 4cm

Since both triangles are congruent ,

Side AC is congruent to DF

Therefore DF = 4cm (based on SSS theorem).

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The measure of DF is 4cm.

What is congruent triangle?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

Here in the figure attached below,

There are two triangles ΔABC and ΔDEF and it is given that ΔABC and ΔDEF are congruent to each other.

From the figure, side AC = 4cm

The side DF = AC = 4cm, because the triangles  ΔABC and ΔDEF are congruent to each other and based on Side-Side-Side Theroem, we can confirm that.

Hence, DF = 4cm.

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The correct answer is OD. Yes, because every x-value corresponds to exactly one y-value.

A function is a relation where each input value (x) corresponds to exactly one output value (y). In the given table, each x-value has a unique corresponding y-value. There are no repeated x-values, and each x-value has only one y-value associated with it. This meets the criteria for a function.

Option A is incorrect because having two y-values that are the same does not necessarily disqualify a relation from being a function. What matters is that each x-value corresponds to exactly one y-value.

Option B is incorrect because it describes the property of a relation having a domain that includes all the given x-values, but it does not guarantee that each x-value has a unique y-value.

Option C is incorrect because it describes a situation where one x-value has multiple corresponding y-values, which violates the definition of a function.

Because every x-value matches exactly one y-value, the right interpretation is that the table reflects a function.

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Answer:

check in my page someone will answer it for me

Step-by-step explanation:

then you get your answer

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

The direction in which the potential decreases most rapidly at the point (0, π/4) is given by the vector < -1/2, 3/2√2 >.

The gradient of the electric potential function V(x,y) = e^-2x cos(3y) is given by:

∇V = < -2e^-2x cos(3y), -3e^-2x sin(3y) >

At the point (0, π/4), we have:

∇V(0,π/4) = < -2cos(3π/4), -3sin(3π/4) > = < √2, -3√2/2 >

To determine the direction in which the potential decreases most rapidly, we need to find the unit vector in the direction of -∇V(0,π/4), which is:

u = (-1/√2) < √2, -3√2/2 > = < -1/2, 3/2√2 >

Therefore, the direction in which the potential decreases most rapidly at the point (0, π/4) is given by the vector < -1/2, 3/2√2 >.

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Answer:

m = 125h          If he painted 8 houses he would get $1000

Step-by-step explanation: you multiply the number of houses by the money earned for each house

8 × 125 = 1000

Answer:

π, √10, and 39.777... are irrational

Step-by-step explanation:

all three numbers have repeated decimals

Answer:

y2-y1/x2-x1

(10-2)/(2-0)

8/2

slope is 4

The value of the test statistic is approximately equal to 1.50.

Given the following information: Most adults would erase all of their personal information online if they could. A software firm survey of 529 randomly selected adults showed that 55% of them would erase all of their personal information online if they could. We are supposed to find the value of the test statistic. In order to find the value of the test statistic, we can use the formula for test statistic as follows:z = (p - P) / √(PQ / n)Where z is the test statistic p is the sample proportion P is the population proportion Q is 1 - PPQ is the proportion of the complement of Pn is the sample size Here,p = 0.55P = 0.50Q = 1 - P = 1 - 0.50 = 0.50n = 529 Now, we can substitute the values into the formula and compute z.z = (p - P) / √(PQ / n)= (0.55 - 0.50) / √(0.50 × 0.50 / 529)=1.50

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The entering basic value is α and the leaving basic variable is x2.

Given that the formula for the line passing through the points (2, 4, 3) and (4, 2, 4) can be written as (2,4,3)+α[(4,2,4)−(2,4,3)] = (2,4,3)+α(2,−2,1), where 0 ≤ α ≤ 1 for just the line segment between these points. After augmenting with the slack variables x4, x5, x6, x7 for the respective functional constraints, this formula becomes (2,4,3,2,0,0,0) + α(2,−2,1,−2,2,0,0).We have to use this formula directly to answer each of the following questions and relate the algebra and geometry of the simplex method as it goes through one iteration in moving from (2,4,3) to (4,2,4). The questions are:(a) What is the entering basic variable?The entering basic variable is the variable that increases in the formula which in this case is α.(b) What is the leaving basic variable?The leaving basic variable is the variable that makes one of the original basic variables zero and takes its place as a basic variable in the new basic feasible solution. Here, the leaving basic variable is x2.(c) What is the new BF solution?The new basic feasible solution is found by replacing the entering basic variable α for the leaving basic variable x2 and then using Gaussian elimination to solve the linear system. Here is how it is done:At α = 0, we have the point (2,4,3,2,0,0,0).At α = 1, we have the point (4,2,4,0,2,0,0).Let α be the entering basic variable, then we can take x2 to leave the basis. Thus, at α = 0, we have (2,4,3,2,0,0,0) as the BFS and at α = 1, we have (4,2,4,0,2,0,0) as the next BFS.Then we need to use Gaussian elimination to solve the linear system. After Gaussian elimination, we get the new basic feasible solution as (10/3,4/3,0,0,2/3,0,0).Hence, the new BF solution is (10/3,4/3,0,0,2/3,0,0).Thus, the entering basic variable is α, the leaving basic variable is x2, and the new BF solution is (10/3,4/3,0,0,2/3,0,0).

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Answer:

the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.

Answer:

1\(\frac{1}{8}\)

Step-by-step explanation:

I used my calculators.

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

The consideration paid by Breakspear Co for the investment in Fleet Co was £570,000.

The consideration paid for an investment in a company includes the fair value of the equity shares purchased and any additional amounts paid for goodwill. In this case, Breakspear Co purchased 600,000 voting equity shares of Fleet Co, and the value of the non-controlling interest in Fleet Co was £150,000. The consideration paid for the investment is calculated by adding the value of the non-controlling interest to the goodwill arising on acquisition. Given that the goodwill arising on acquisition is £70,000, the consideration paid can be calculated as follows:

Consideration paid = Value of non-controlling interest + Goodwill

Consideration paid = £150,000 + £70,000

Consideration paid = £220,000

Therefore, the consideration paid by Breakspear Co for the investment in Fleet Co is £220,000.

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Answer: Angelia rides 23.33 miles in 5 days.

Step-by-step explanation:

Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.

Daily distance = 2 × 2.333 miles = 4.666 miles

She does this for 5 days, so the total distance she rides in 5 days is:

Total distance = 4.666 miles/day × 5 days = 23.33 miles

So, Angelia rides 23.33 miles in 5 days.

Answer:23.5 miles (i think)

Step-by-step explanation:

If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5

Answer:I’m not really gay after all

Step-by-step explanation:it turned out I was into girls

The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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The correct choices are: O(x^4) and O(1).

The statement "f(x) is O(2n)" implies that the growth rate of f(x) is bounded by the growth rate of 2n. This means that f(x) grows at most linearly with respect to n. Therefore, any function with a growth rate that is polynomial (including O(x^4)) or constant (O(1)) would be valid choices.

O(x^4) represents a polynomial growth rate where the highest power of x is 4. Since f(x) is bounded by 2n, which has a linear growth rate, it is also bounded by a polynomial growth rate of x^4.

O(1) represents a constant growth rate. Even though f(x) may not be a constant function, it is still bounded by a constant growth rate since it grows at most linearly with respect to n.

The choices O(1.5n) and O are not correct because O(1.5n) represents a growth rate greater than linear (1.5 times the growth rate of n), and O represents functions that grow at a slower rate than linear.

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Answer:

your answer is 4

Step-by-step explanation:

The values of q, r, s, and t are:

The given function is \(g(x) = 2x^2 - 8\)

The inverse of g(x) for x ≥ 0 is \(f(x) = \sqrt{\frac{1}{2}x+4}\)

The inverse of g(x) for x ≤ 0 is \(d(x) = -\sqrt{\frac{1}{2}x + 4}\)

For x= -8

d(-8)= \(-\sqrt{\frac{1}{2} (-8) + 4}\)

q= d(-8) = 0

r= f(0)

f(x) = \(\sqrt{\frac{1}{2}x + 4 } \\\sqrt{\frac{1}{2} (0) +4 }\)

f(0)= \sqrt 4

f(0)= 2

r= 2

f(10)= \sqt 9

s= 3

t= d(10)

d(10)= -\sqrt9

t= -3

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There are 0 dollar must the younger brother have received at the last division

Let's first consider how much money the brothers made in total from selling the cows. If they took x cows to the market and sold each cow for x dollars, then the total amount of money they made is:

total money = x ×x = $x^2

Now, we know that they divided the money by giving $10 to each brother alternately. This means that the total amount of money they gave to both brothers is:

$20 + $20 + $20 + ... = $10 * 2 * n, where n is the number of times they divided the money.

We also know that the older brother received $10 at the last division. Therefore, the total amount of money they gave away before the last division is:

$10 × (2 ×n - 1)

Since the total amount of money they made is $x^2, we can set up the following equation:

$x^2 - $10 ×(2 n - 1) = $10

Solving for n, we get:

$n = {x^2 + 9}/{20}$

Since n must be an integer (since they can't divide the money a fractional number of times), we need to find the smallest integer value of n that satisfies this equation. We can try plugging in integer values of x until we find one that works.

Let's start by trying x = 1:

$n = {1^2 + 9}/{20} = {10}/{20} = 0.5$

Since n is not an integer, this value of x doesn't work. Let's try x = 2:

$n = {2^2 + 9}/{20} = {13}/{20}$

Again, n is not an integer. Let's try x = 3:

$n = {3^2 + 9}/{20} = {12}{20} = 0.6$

Still not an integer. Let's try x = 4:

$n = {4^2 + 9}/{20} = {25}/{20} = 1.25$

Finally, we have an integer value for n. This means that they divided the money 2n = 2 * 1 = 2 times before the last division. Therefore, the younger brother received $10 less than the older brother at the last division, which is:

$10 - $10 = $0

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Answer:

You have to add -its easier to add up and down so you can see it more visibly-

Step-by-step explanation:

    1

 8.290

+6.673

 14.963

Hope this helps! Have a great day!!

Answer:

It takes 1/8 of an hour for the student to bike to school.

Step-by-step explanation:

We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get

1/6 * 3/4 = 3/24 = 1/8.  This means that it takes 1/8 of an hour for the student to bike to school.

Respuesta: 640 millas

Explicación paso a paso:

Dado lo siguiente:

Eficiencia de combustible :

Ec = 40 km / gal

Er = 64 km / gal

Distancia en la ciudad (Dc)

Distancia en carretera (Dr)

Si la distancia recorrida = 2880 km

Es decir :

Dc + Dr = 2880 km

Dc = (2880 - Dr) - - - - - 1

Consumo (c) = 51 galones

Por lo tanto,

Dc / Ec + Dr / Er = c - - - - (2)

Sustituir 1 en 2

(2880 - Dr) / Ec + Dr / Er = c

2880 / Ec - Dr / Ec + Dr / Er = c

Dr / Er - Dr / Ec = c - 2880 / Ec

Dr (1 / Er - 1 / Ec) = c - 2880 / Ec

Dr = c - (2880 / Ec) / (1 / Er - 1 / Ec) - - - (3)

Sustituyendo por c = 51, Er = 64 y Ec = 40 en la ecuación 3

Dr = 51 - (2880/40) / (1/64 - 1/40)

Dr = 51-72 / (0.015625 - 0.025)

Dr = - 21 / - 0.009375

Dr = 2240 millas

Pero Dr + Dc = 2880

2240 + Dc = 2880

Dc = 2880 - 2240 = 640 millas

Answer:

$96.15

Step-by-step explanation:

Given data

markup = 30%

cost price= $125

let the cost price before markup be x

125-30/100*x= x

125-0.3x= x

125= x+0.3x

125= 1.3x

divide both sides by 1.3

x= 125/1.3

x= $96.15

Hence the price before markup is $96.15