A triangle is shown with its exterior angles. Angles 2, 6, and 4 are the interior angles. Angle 1 is the exterior angle at angle 2. Angle 5 is the exterior angle at angle 6. Angle 3 is the exterior angle at angle 4.
Which statements are always true regarding the diagram? Check all that apply.

Answer: 76 in

in the comment i explained it

Answer:

D.No solution

Step-by-step explanation:

These two function are parallel (same slope) , so they would never intersect

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

Answer: x = -19

Step-by-step explanation:

Given

x + 7 = - 12

Subtract 7 on both sides

x + 7 - 7 = -12 - 7

\(\boxed{x=-19}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X=-19

Step-by-step explanation:

X+7=-12

subtract 7 from both sides

X=-19

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

c

Step-by-step explanation:

I hope this helpssssssss

Answer:

−0.4166666667=-2 1/6

Step-by-step explanation:

Hope that helped!

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

15

Step-by-step explanation:

3 x 3=9

2 x 2=4

1x1=1

-1x-1=1

9+4+1+1=15

Answer:

15

Step-by-step explanation:

The square of 3 is 3 times 3, so 9.

2 times 2 is 4.

1 times 1 is 1.

-1 times -1 is 1, because the negative cancels out.

So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.

Answer:

x-y=7

y=x-7

m=1 #parallel slope will be the same with the line

y+7=1(x+6)

y+7=x+6

y=x-1

Step-by-step explanation:

formula; y-y1=m(x-x1)

Answer:

y=x+1

Step-by-step explanation:

The coefficient of determination, also known as R-squared, is a statistical measure that represents the proportion of the variance in a dependent variable that is predictable from an independent variable or variables. It is used to evaluate the goodness of fit of a regression model. The formula for calculating the coefficient of determination is:

R-squared = 1 - (SSres / SStot)

where SSres is the sum of squares of residuals and SStot is the total sum of squares.

The sum of squares of residuals is calculated by subtracting each predicted value from its corresponding actual value, squaring the difference, and adding up all the squared differences. The total sum of squares is calculated by subtracting the mean of the dependent variable from each actual value, squaring the difference, and adding up all the squared differences.

The coefficient of determination ranges from 0 to 1, with 0 indicating that the model does not explain any variability in the dependent variable and 1 indicating that the model explains all the variability in the dependent variable. A higher R-squared value indicates a better fit between the regression model and the data.

It is important to note that R-squared should not be used as the sole criterion for evaluating a regression model. Other factors such as statistical significance, residual plots, and out-of-sample prediction accuracy should also be considered.

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Answer:

the shortest route is from cabin site to B

Step-by-step explanation:

see my attachment

Answer:

answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{sin 82}{28} =\frac{sin A}{8} \\sin A=\frac{8}{28} \times sin 82\\A=sin^{-1} (\frac{2}{7} \times sin~82) \approx 16.4 ^\circ\)

Answer:

Option C - (-28p⁵-21p⁴+7p³)

Step-by-step explanation:

=> -7p³×4p²= -28p⁵---- 1

=> -7p³×3p= -21p⁴------ 2

=> -7p× (-1)= 7p³---- 3p

Add 1+2+3

=> (-28p⁵-21p⁴+7p³)

Hope this helps you.

Answer:

-28p^5 -21p^4 + 7p^3

Step-by-step explanation:

Answer:

the next is -2 × 5 = - 10

Step-by-step explanation:

the sequence is times 5

Answer:

V = 120 cm³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

to find h (ON)

use Pythagoras' identity in right triangle MNO

ON² + MN² = MO²

ON² + 7.5² = 8.5²

ON² + 56.25 = 72.25 ( subtract 56.25 from both sides )

ON² = 16 ( take square root of both sides )

ON = \(\sqrt{16}\) = 4

Then

V = (4.5 × 4) × 4 = 30 × 4 = 120 cm³

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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78

Step-by-step explanation

by adding all the number and divide by the number of number

Answer:

78

Step-by-step explanation:

add all and divide by 7

the radial form is, 6 times the eight root of x to the fifth power.

Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.

here, given that,

6x^5/8

now,

the radial form is,

6 times the eight root of x to the fifth power.

Hence, the radical form is, 6 times the eight root of x to the fifth power.

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Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

At a 0.05 level of significance, it cannot be concluded that the mean of horse race betting is higher in Texas than in California.

To perform a hypothesis test, we set up the null hypothesis and the alternative hypothesis:

Null hypothesis (H0): The mean of horse race betting success rate in Texas is the same as the mean in California (μ = 30).

Alternative hypothesis (Ha): The mean of horse race betting success rate in Texas is greater than the mean in California (μ > 30).

A one-sample t-test can be used to test this hypothesis. With a sample size of 200 and a sample mean of 40, we calculate the t-statistic as follows:

t = (mean of sample - mean of the population) / (standard deviation of the sample) / √(size of sample))

t = (40 - 30) / (unknown population standard deviation / √(200))

We use the sample standard deviation as an estimate because we do not know the population standard deviation. Assuming the sample is representative of the population, the sample standard deviation can be used as an estimate of the population standard deviation.

Using a t-table with degrees of freedom (df) = 199, we find the critical value of t for a one-tailed test with a significance level of 0.05 to be 1.645.

We favor the alternative hypothesis over the null hypothesis if the calculated t-value is greater than the critical t-value. We fail to reject the null hypothesis if the calculated t-value is lower than the critical t-value.

Given a p-value of 0.064, we can also reject the null hypothesis if the p-value is less than the significance level (0.05).

Without knowing the actual value of the t-statistic, we can conclude that since the p-value of 0.064 is greater than 0.05, we fail to reject the null hypothesis. Therefore, it cannot be concluded that the mean horse race betting success rate is higher in Texas than in California at a 0.05 level of significance.

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Answer:

A, 38cm

Step-by-step explanation:

since u have to take 15cm (the length) then multiply by 2 to take both the sides of the rectangle

then you have to take the width 2 times to take the perimeter and add it up. so 15x2 and 4x2 added is 38. there!

we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).

Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

We need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.

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Answer: The form of payment that Courtney can lose and not get back would be cash.

Step-by-step explanation:

The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.

Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated  verification process.

Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!

-From Certified 5th Grade Honors Student

Answer:

1$ per stock

Step-by-step explanation:

True....

it's a polynomial.

The required coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3) are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].

To determine the coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3), we need to apply these transformations to the coordinates of the original vertices in the order given.

First, we rotate the triangle 90 degrees counterclockwise around the origin. This transformation can be represented by the matrix:[cos(90) -sin(90)][sin(90) cos(90)]

Applying this matrix to the coordinates of the vertices of △ABC, we get:A' = [-5, 4]B' = [6, -3]C' = [8, -1]

Next, we reflect the triangle across the line y=0.

This transformation can be represented by the matrix:[-1 0][0 1]

Applying this matrix to the coordinates of the vertices of △ABC', we get:A'' = [5, 4]B'' = [-6, -3]C'' = [-8, -1]

Finally, we translate the triangle according to the rule (x+3,y-3).

This transformation can be represented by the matrix:[1 0][0 1]

Applying this matrix to the coordinates of the vertices of △ABC'', we get:A''' = [8, 1]B''' = [-3, -6]C''' = [-5, -4]

Therefore, the coordinates of the vertices of △ABC after given transformations are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].

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The total length of the cut boards is 7.92 inch.

To find the total length, we add up the lengths of the four boards. We convert the mixed radicals to decimal form and then add all the lengths together.

Step-by-step explanation:
1. Convert the mixed radicals to decimal form:
  - 7^((1)/(2)) inches is approximately 2.646 inches
  - 10^((1)/(2)) inches is approximately 3.162 inches
  - 9 inches remains the same
  - 5^((1)/(2)) inches is approximately 2.236 inches

2. Add up the lengths:
  2.646 + 3.162 + 9 + 2.236 = 17.044 inches

3. Round the total length to the nearest hundredth:
  The total length is approximately 17.04 inches, which can be rounded to 17.0 inches or 17 inches.

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