Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE

The two column proof for the given angle addition has been carried out below.

1) m∠CZE = m∠1 + m∠2

Reason: Angle Addition Property

2) m∠FXH = m∠3 + m∠4

Reason: Angle Addition Property

3) m∠CZE = m∠FXH

Reason: Given

4) m∠1 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

5) m∠1 = m∠3

Reason: Subtraction Property

6) m∠3 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

7) m∠2 = m∠4

Reason: Subtraction Property

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The percent increase of going from 40 to 60 is 50%.

We have the Formula

Percent Increase = (New Value - Original Value) / Original Value x 100

As, the values changes from 40 to 60.

So, Percent Increase = (60 - 40) / 40 * 100

Percent Increase = 20 / 40 * 100

Percent Increase = 0.5 * 100

Percent Increase = 50%

Therefore, going from 40 to 60 represents a percent increase of 50%.

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Answer:

the length of DE is 1/2*9 = 4.5

The conclusion about the cylinder volume when the radius is half is that the volume is one-fourth of the original

The volume of a cylinder can be represented as follows;

volume = πr²h

volume = π × 10² × 14

volume = 1400π cm³

Let's half the radius as follows:

radius = 10 / 2 = 5 cm

volume = π × 5² × 14

volume = 350π cm³

Therefore, the new volume is one fourth of the original when the radius is halved.

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Answer:

a

Step-by-step explanation:

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

For a Normal Distribution, the z-score formula

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

Here X is the mean and sigma is the standard deviation.

Mean of 2.25​% = 2.25​

The standard deviation of 1.27%, sigma = 1.27

For Sample 31 the value of the standard deviation is

s = 1.27/√31

s = 0.2442

Substituting the values

Z = ( 2.25 -1.27)/0.2442

Z = 1.8

the p-value from the graph of z and p = 0.9643

To determine value of probability greater than X is 1 - 0.9643 = 0.0357

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

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Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

[tex]\huge\sf\color{red}{Answer:}[/tex]

Formula:

Lets solve : )

So the answer would be [tex]\large\sf\color{red}{16}[/tex]

Answer:

the radius is 2.02

Step-by-step explanation:

use the formula to solve the radius of a cylinder

The multiplicative inverse of 1000/450 is 9/20

The multiplicative inverse of a number x is:

Inverse = 1/x

The number is given as: 1000/450.

So, we have:

Inverse = 1/(1000/450)

Evaluate the expression

Inverse = 450/1000

Simplify

Inverse = 9/20

Hence, the multiplicative inverse of 1000/450 is 9/20

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Answer:

1 pound is equivalent to 453.59237 Grams.

✎let's answer it :3

☟ answer

-> ( 453.59237 grams )

hope it helps

By using any two of the points in the table, we will see that the slope is -2.

A general linear relationship is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we can use the first two points on the table:

(-4, 11) and (2, -1), so the slope is:

[tex]a = \frac{11 - (-1)}{-4 - 2} = 12/-6 = -2[/tex]

Then the slope of the line is -2.

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The probability of randomly selecting a tree or a flower is 8/15.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)

8/30 + 8/30 = 16/30  = 8/15

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So we replace "x" with the necessary value (-7):

[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]

[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]

[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]

[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]

[tex] \boxed{ \bold{55}}[/tex]

The measure of angle ∠1 will be 68 degrees.

The missing graph is given below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The diagram is given below.

Then the measure of angle ∠1 will be

68° + 44° + ∠1 = 180°

                  ∠1 = 68°

The measure of angle ∠1 will be 68 degrees.

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Answer:

y = -(2x+16) / 5

Step-by-step explanation:

2x + 5y = -16

5y = -2x - 16

y = (-2x - 16) / 5

y = -(2x+16) / 5

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

Answer:

[tex]a=1\\\\b=7[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}[/tex]

Step-by-step explanation:

cos(a) = 1/2 or 0.5

that means a = 60°

the cosine value is the x coordinate, the sine value the y coordinate.

so, only an answer with 1/2 as x coordinate can be right.

and therefore, the 4th answer (bottom right) is correct.

The statements that describe the fraction bar diagram shown are:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Here,  each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\div2(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times \bf 3}[/tex]

[tex]\mathsf{= \bold{3}\times3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: Absolute value function

The type of parent function is f(x)= |x| is Absolute valued function

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Given function:

f(x)= |x|

As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.

The above property perfectly resemble the absolute valued function.

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The given,matrix is [1  -4  5  -7] Thus, the correct option is A [3  -12  15  -21].

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1  -4  5  -7]

The product will be

3. [1  -4  5  -7]

[3  -12  15  -21]

Thus, the correct option is A [3  -12  15  -21].

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Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

There are 18 blocks in the first row

Calculate the number of blocks on the first row

The ruin is given as:

Ruin = 49

The common difference is given as:

d = -2

The number of block on each row is then represented as:

Blocks = 48 - 2n

Where n represents the number of rows.

In this case, the first row would have a value of n = 15

So, we have:

Blocks = 48 - 2 * 15

Evaluate

Blocks = 18

Hence, there are 18 blocks in the first row

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The order in which the two transformations in a composite transformation affect the final answer

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

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Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

Answer:

$1605

Step-by-step explanation:

Because this is simple interest, you can convert the 7% into a decimal

Because she payed an EXTRA 7% she payed 107% total

107% is the equivalent to 1.07

By multiplying 1500 x 1.07 = 1605

Answer:

66

Step-by-step explanation:

this is actually an almost trick question because it wants to confuse you!

Here's the trick

to work out a mean (average) you add all the components together then divide by the amount of groups.

but here they didn't give you components just the mean of the classes...both of them.

the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"

so this means that Class B's mean score is 66 too

hope this helps

Step-by-step explanation:

From what I know

3x-1=0

3*(-2)-1=0

-6-1=0

=-7.

I'm not sure but u can try it.

The value of f(-2) in this function is f(-2) = -7

To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.

First we multiply or divide, then add or subtract.

f( x ) = 3x - 1

f(-2) = 3 · (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

So, the alternative value is f(-2) = -7