Identify the segments that are parallel, if any, if ∠ADH≅∠ECK.A. AD¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯B. AC¯¯¯¯¯¯¯¯ || CD¯¯¯¯¯¯¯¯C. AE¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯D. none of these

The range of the following function is

We can also call the range of a function an image, the range or image of a function is a set, we can see this set looking at the graph and see which values of y the function have, remember that we can have the same y value for different x value, looking at our graph we can see that this function comes from high y values, have a vertex on (3,1), in other words, it stops at y = 1 and then start growing again, and go on repeated values of y, then we can say that the image (values of y that the function assumes) is all values bigger than 1, therefore {y > 1}.

The smallest degree of rotation is achieved through the division of the full circumference over the total number of sides

The answer would be 3.75°

Answer:

(tenth root of x to the third power)

see image

Step-by-step explanation:

To do this problem you need to know how to convert radicals to an expression with a fraction exponent(and back to radicals again), ALSO exponent rules for division ALSO subtracting fractions.

Square root x can be written as x^ 1/2

fifth root x can be written as x^ 1/5

When you are dividing expressions with the same base, exponent rules say to SUBTRACT the exponents.

1/2 - 1/5 change to common denominator

5/10 - 2/10

= 3/10

x^1/2 / x^1/5 =

x^ (1/2 - 1/5) =

x^ (5/10-2/10) =

x^ 3/10

Then change back to a radical. Remember "down and out" or "roots are down" and "up, up, up" or "exponents are up"

the number down below goes out (outside) the radical. And the number up top is up and exponents are up, up, up

see image.

x^3/10 =

tenth root (x^3)

see image.

Answer:

Th

Explanation:

Given the ordered pair (-4, -1), we have that x = -4 and y = -1. Plotting this point, we'll have;

Quadrants are labeled in an anti-clockwise direction with the top right portion of the graph being the 1st quadrant. Looking at the plotted point, we can see that the point is in the 3rd quadrant.

Given the number of sides of a pentagon:

Number of sides = 5

Let's find the sum of the measures of the 5 equal angles.

To find the sum of the measures of interior angles of a polygon, apply the formula:

Where:

n is the number of sides = 5

Thus, we have:

Therefore, the sum of the interior angles of the pentagon is 540 degrees.

ANSWER:

540°

Explanation

The model has the form

Where a=initial amount

y= final amount

K= growth rate constant

t= time

When 140 kg of substance is left after 7 hours, the formula can be remodeled to be.

Therefore, the first solution is

For part b we have 16 hours.

Thus, the answer is 36kg

The algebraic expression for each phrase would be the following:

a. the product of 9 and a number t would be expressed as:

9*t

b. the difference of a number x and 1/2 would be expressed as:

x - 1/2

c. the sum of a number m and 7.1 would be expressed as:

m + 7.1

d. the quotient of 207 and a number n​ would be expressed as:

207 / n

Answer:

Step-by-step explanation:

-215

Answer:

-215

Step-by-step explanation:

the answer to 11-3x75-1 is -215

After 5 minutes there will be 2.29376 quarts of antifreeze in the system.

Given,

The capacity of the cooling system of a car = 20 quarts

The mixture in the system is 7 quarts of antifreeze and 13 quarts of water.

The running rate of water = 1 gal/min

Homogenous mixture also runs 1 gal/min

We have to find the antifreeze in the system at the end of 5 minutes;

Here,

1 quart = 0.25 gallons

7 x 0.25 = 1.75 gallons of antifreeze

13 x 0.25 = 3.25 gallons of water

1 = 0.2 of 5

0.57344 gallons = 2.29376 quarts

After 5 minutes there will be 2.29376 quarts of antifreeze in the system.

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Dave has 17 nickels, 24 dimes and 27 pennies in his piggy bank.

According to the question,

We have the following information:

Dave has 7 more dimes than nickels and 10 more pennies than nickels.

Now, let's take the number of nickels to be x.

So,

Dimes = (x+7)

Pennies = (x+10)

Now, Dave has $3.52 in his piggy bank.

We will convert nickels, dimes and pennies into dollars.

We know that 1 nickel = 0.05 dollars, 1 dime = 0.1 dollars and 1 pennies = 0.01 dollars.

Now, we will convert the given numbers of nickel, dime and pennies into dollars.

x Nickels in dollars = $0.05x

(x+7) dimes in dollars = $0.1(x+7)

(x+10) pennies in dollars = $0.01(x+10)

Now, we will them.

0.05x + 0.1(x+7) + 0.01(x+10) = 3.52

0.05x + 0.1x + 0.7 + 0.01x + 0.1 = 3.52

0.16x + 0.8 = 3.52

0.16x = 3.52-0.8

0.16x = 2.72

x = 2.72/0.16

x = 17

Now, we have:

Number of nickels = 17

Number of dimes = (17+7)

Number of dimes = 24

Number of pennies = (17+10)

Number of pennies = 27

Hence, the number of nickels, dimes and pennies are 17, 24 and 27 respectively.

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50 + 10m = 90 Reason: This is a right angle, which sum up to 90 degree.

10m = 90 - 50

10m = 40

m = 40/10

m = 4

Answer:

3*10=30

10^-6=1^-6. (10 raised to the power of-6)

therefore 3*1^-6=3

is equal to

4.86*10=48.6

10^-4=1^-4

therefore 48.6*1^-4=48.6

When you have an arithmetic sequence you can use the next general formula to get the explicit formula:

Where a(1) is the first term in the sequence, d is the difference between each term in the sequence, and n is the nth term

You have the sequence: 28,38,48,58

The difference in this sequence is d=10

The first term is: a(1)=28

Then:

Given:

The population of a town increases by 9 % annually.

The current population is 4,500.

Required:

We need to find the equation that gives the population of the town.

Explanation:

The population can be found by the following equation.

Let now be the current population of the town =4500.

Let Next be the population of the town.

The population can be found by the following equation.

Take the common term now out.

Final answer:

Congruent Shapes

Two congruent shapes have the same size and shape, which means all of their side lengths are equal and all of their internal angles are congruent (have the same measure),

All of the rigid transformations map the original figure to a congruent figure. One of the transformations is the reflection.

The image shows two shapes SRQP and EDCB. They seem to have the same shape and size, but it must be proven by finding the appropriate transformation used.

Comparing the corresponding vertices we can find that out. For example, the coordinates of S are (-6,4) and the coordinates of E are (4,4). The x-coordinate of the midpoint between them is

xm = (-6+4)/2 = -1

Now analyze the points P(-8,2) and B(6,2). The x-coordinate of the midpoint is:

xm = (-8+6)/2 = -1

For the points R(-4,-6) and D(2,-6):

xm = (-4+2)/2 = -1

For the points Q(-9,-4) and D(8,-4):

xm = (-9+8)/2 = -0.5

Since this last pair of corresponding points don't have the same axis of symmetry as the others, the shapes don't have the same size and angles, thus they are not congruent

For both shapes to be congruent, the coordinates of Q should have been (-10,-4)

We know,

1 liter=1000 milliter.

So, millilters in 1/5 liters​ is,

Therefore, there are 200 milliters in 1/5 liters.

Answer: 24 mph

Step-by-step explanation:

If she can run 12 mph/ 12 miles per hour

She runs for 2 hours

12 · 2 = 24

Given the following question:

Your answers are the first and second options.

In this problem

the vertex is given ------> (40/2,12)-------> (20,12)

The first intercept is (0,0)

therefore

second intercept is

x-intercept=20+20=40

(40,0) is the coordinates of the second x-intercept

(the vertex is the midpoint between the first and second x-intercept)

see the attached figure

We have the following equation of a hyperbola:

Let's divide all the equations by 4, just to simplify it

Just to make it easier, let's put the term if "x" isolated

Now we can complete squares on both sides, just remember that

Now let's complete it!

We already completed one side, now let's complete the side with y^2, see that we will add 4 again, then

And now we can write it using the standard equation!

And now we can graph it like all other hyperbolas, the vertices will be:

And the foci

Then the foci are

Now we can plot the hyperbola!

To find the amount of servings, we just need to divide the entire bar weight by the serving weight. Solving this calculation, we have

The equation that will represent this situation will be:

Thus:

If we check in a standard normal table. the z-score that corresponds to a probability of 0.525 is 0.063.

Answer: z-score is 0.063.

We are given that a total amount is $864, if a deposit of $216 is given, then the total amount to pay is the following:

Therefore, there is $648 to pay.

5 to 6 odds means that, out of 11 possible outcomes, odds are that there will be 5 of one kind of outcome and 6 of another kind of outcome.

In this case, you are given 5 to 6 odds, which means that out of 11 possible outcomes you will win a bet 5 times, and lose it 6.

In fraction, it will look like this:

Because of that, the probability of winning the bet is 45.45%, and in a fraction, it is 5/11, which means you will win in 5 out of 11 scenarios.

To solve the problem, we will define a function that given the weight of the package, will determine the cost of the mailing. Let x be the weigth of the package in oz and let f(x) be the cost of mailing the package. We are told that if the weight is less than 4, then the rate is 1.50. So, in math notation that would be f(x) = 1.50 if x<4. Now, we are told that if the package weights between 4 and less than 8, then the rate is 2.50. So, that is f(x) = 2.50 if 4<=x<8. Finally, we are told that if the package weights between 8 and 12, the cost is 3.50. So f(x) = 3.50 if 8<=x<=12. So the final math expression for f(x) is

1.50 if x<4

f(x) = 2.50 if 4<=x<8

3.50 if 8<=x<=12.

hello

the car travels 273 miles in 6 hours, how many hours will it take to travel 378 miles.

let the number of unknown hours be represented by x

the car spent approximately 8.31 hours to travel a distance of 378 miles

Take into account that dop plots are usefull for small or moderate sized data sets, and also they are suefull for data with big gaps.

Based on the previous description, you can conclude that the best option for a dot plot is:

16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97

in comparisson with the other data sets, the elements of the rest of data sets are closer to each other.

The parabola that has the height and width similar to the Gateway arc, gives;

(a) The quadratic equation of the parabola is presented as follows;

[tex] f(x) = -6.991 \times 10^{-3} \cdot x^2 + 4.181 \cdot [/tex]

(b) The completed table is presented as follows;

Width. Height

567. 63.12

478. 225.67

308. 459.2

The shape of a quadratic function is a parabola, which is either upward facing or downward facing

(a) The given dimensions of the arc are;

Height = 625

Width at the base = 598

The points on the parabola are therefore;

(0, 0), (598÷2, 625) = (299, 625), (598, 0)

The equation of the parabola is of the form;

f(x) = a•x² + b•x + c, which gives;

f(0) = 0 = a×0² + b×0 + c = c

c = 0

f(299) = 625 = a×299² + b×299 + 0...(1)

f(598) = 0 = a×598² + b×598...(2

(a×598² + b×598) - 2×(a×299² + b×299) = 0 - 2×625

a•178802 = -2×625

a = -2×625 ÷ 178802

a ≈ -6.991 × 10^(-3)

b ≈ 4.181.

The equation is therefore;

[tex] f(x) = -6.991 \times 10^{-3} \cdot x^2 + 4.181 \cdot [/tex]

(b)

The table of values is completed as follows;

When the width is 567 feet, x = 299 - 567÷2 = 15.5

[tex] \displaystyle{f(15.5) = -6.991 × 10^{-3} \times 15.5² + 4.181 \times 15.5 approx 63.12} [/tex]

When the width is 478 feet, x = 299 - 478÷2 = 60

[tex] \displaystyle{f(60) = -6.991 × 10^{-3} \times 60² + 4.181 \times 60 approx 225.67} [/tex]

When the width is 308 feet, x = 299 - 308÷2 = 145

[tex] \displaystyle{f(145) = -6.991 × 10^{-3} \times 145² + 4.181 \times 145 approx 459.2} [/tex]

The table is therefore presented as follows;

Width. Height

567. 63.12

478. 225.67

308. 459.2

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Without converting the equations to the same form, the property that must be different in the functions is the slope

From the question, the equations are given as

y = x + 5

y + x = 5

From the question, we understand that:

The equations must not be converted to the same form before the question is solved

The equation of a linear function is represented as

y = mx + c

Where m represents the slope and c represents the y-intercept

When the equation y = mx + c is compared to y = x + 5, we have

Slope, m = 1

y-intercept, c = 5

The equation y = mx + c can be rewritten as

y - mx = c

When the equation y - mx = c is compared to y + x = 5, we have

Slope, m = -1

y-intercept, c = 5

By comparing the properties of the functions, we have

Hence, the different properties of the functions are their slopes

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If the figures are similar, the proportion between the corresponding sides is the same.

The side of 30 cm corresponds to the side of 24 cm, and the side of 13 cm corresponds to the side of x cm.

So if the proportion is the same, we have that:

So the value of x is 10.4 cm, therefore the answer is b.