DF and GI are parallel lines.

Which angles are alternate interior angles?

Answer:

72 85 23

Step-by-step explanation:

Equation

(x - 13) + (x/5 + 6) + x = 180                Multiply the equation by 5

Solution

5(x - 13) + 5(x/5 + 6) + 5x = 180*5     Remove the brackets

5x - 65 + x + 30 + 5x = 900              Combine like terms on the left

11x - 35 = 900                                    Add 35 to both sides

      35       35

11x = 935

x = 85

Answer

x - 13 = 85 - 13 =         72

x                      =          85

x/5 + 6 = 17 + 6 =        23

Total =                        180

It might be easier not to multiply through by 5 at the beginning

(x - 13) + (x/5 + 6) + x = 180              Remove the brackets

x - 13 + x/5 + 6 + x = 180                 Combine like terms

2x + x/5 -- 7 = 180

x/5    =   .2x                                     Put 0.2x in for x/5

2.2x - 7= 180                                   Add 7 to both sides

          7      7

2.2x = 187                                       Divide by 2.2

x = 187/2.2

x = 85

Take your pick. Both methods will give the same answer.

Answer:

THE ANSWER IS D

Step-by-step explanation:

D is correct. Subtract 3 from both sides, then divide by -2, and remember to reverse the inequality.

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

Answer:

Step-by-step explanation:

f(x) = x^3

To get this to move right, you must do the opposite to what you think you should do.

f(x) =(x - 2)^3.  

That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0

Now you want f(x) to move up 3 units.

f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units

Let's see if this is correct.

If you look at the graphs,

The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.

Answer:

69.15% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 1527 and a standard deviation of 295.

This means that [tex]\mu = 1527, \sigma = 295[/tex]

The local college includes a minimum score of 1380 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 1380. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1380 - 1527}{295}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.3085

1 - 0.3085 = 0.6915

0.6915*100% = 69.15%

69.15% of students from this school earn scores that satisfy the admission requirement.

Answer:

the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Ancient cultural artifacts and historical buildings were destroyed.

Answer:

[tex]Period = 2\pi[/tex]

Step-by-step explanation:

Given

[tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]

Required

Determine the period

A sine function is represented as:

[tex]y =A \sin(Bx + C) + D[/tex]

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]

[tex]Bx = x[/tex]

So:

[tex]B = 1[/tex]

So, we have:

[tex]Period = \frac{2\pi}{B}[/tex]

[tex]Period = \frac{2\pi}{1}[/tex]

[tex]Period = 2\pi[/tex]

Hence, the period of the function is [tex]2\pi[/tex]

Answer:

I can make there different selection

Answer:

Hmm, probably 2 selections?

Step-by-step explanation:

If there are six essay questions on the history test then it would maybe be 2 because, You have to choose the two best answer chose that fits the question.

Answer:

(x−1)(x+2)

Step-by-step explanation:

The middle number is 1 (1x) and the last number is -2.

Factoring means we want something like

(x+_)(x+_)  

We need two numbers that...

Add together to get 1

Multiply together to get -2  

Try -1 and 2:

-1+2 = 1

-1*2 = -2

Fill in the blanks in

(x+_)(x+_)

with -1 and 2 to get...

(x-1)(x+2)

Hope this helps!

Answer:

x= 130°

Step-by-step explanation:

Answer:

The probability that both number cubes have the number 4 facing up is 1/36.

Step-by-step explanation:

For a cube, we have the number:

1,2,3,4,5 and 6

The number 4 only occurs once in the six.

So, the probability of having the number 4 in a single roll is 1/6.

Now, for two rolls, we have two probabilities which we will have to multiply.

Thus, we have the probability as:

[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]

Answer:

4.9:13.1

Step-by-step explanation:

V=4/3*pi*r^3

Answer:  The answer is c

Answer:

FG = 2.02

Step-by-step explanation:

tan 56° = 3/FG

1.4826 = 3/FG

1.4826FG = 3

divide both sides by 1.4826:

FG = 3/1.4826

FG = 2.02

Answer:

C. & D

Step-by-step explanation:

This would be the answer since countering the others it's 90 degrees. While the others are able to add up to 180 degrees. :)

Answer:

3) 156°

4) 24°

5) 24°

6) 24°

Step-by-step explanation:

m∡2: 180 - 156 = 24°  

m∡3:  156° (is vertical to angle labeled as 156°)

m∡4:  24°  (is vertical to angle 2)

m∡5:  156°

m∡6:  24° (alternate-interior to angle 4)

m∡7:  156° (corresponding angle with ∡3)

m∡8:  24° (vertical with angle 6)

Answer:

Step-by-step explanation:

m∠2 = m∠4 = m∠8 = 180° - 156° = 24°

m∠8 = 156°

p=−d+m/h

Step by step:

m−hp=d

−hp+m+−m=d+−m

−hp=d−m

-hp/-h=d-m/-h

p=-d+m/h

The expression solved for p is [tex]p = \frac{m - d}{h}[/tex].

It is the unknown value in a set of range. Variable always represent a number.

Given that,

m − hp = d

There are 4 variables. If we want to solve the above equation for p, take p at one side of the equation and other variables to the other side:

[tex]ph ={m - d}[/tex]

[tex]p = \frac{m - d}{h}[/tex]

Hence the final equation for p is [tex]p = \frac{m - d}{h}\\[/tex].

To know more about equations, refer to the link:

https://brainly.com/question/10413253

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Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

15 is 60% of the number 25

To find the number of which 15 is 60%, we can set up the following equation:

0.60 * x = 15

Here, x represents the unknown number.

To solve for x, we divide both sides of the equation by 0.60:

x = 15 / 0.60

Evaluating the division:

x = 25

Therefore, 15 is 60% of 25.

Learn more about percentages here:

https://brainly.com/question/29306119

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Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.

Step-by-step explanation:

Basic arithmetic really.  8+6+5+7 = 26. The color was just added to confuse u.

Answer:

Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases

Step-by-step explanation:

Answer:

Perimeter of the summer camp = 38 units

Step-by-step explanation:

Distance between P(5, 14) and Q(8, 14) = 8 - 5

                                                                = 3 units

Distance between Q(8, 14) and R(8, 2) = 14 - 2

                                                               = 12 units

Distance between R(8, 2) and S(1, 2) = 8 - 1

                                                            = 7 units

Distance between S(1, 2) and T(1, 8) = 8 - 2

                                                            = 6 units

Distance between T(1, 8) and U(5, 8) = 5- 1

                                                             = 4 units

Distance between U(5, 8) and P(5, 14) = 14 - 8

                                                               = 6 units

Therefore, perimeter of the summer camp = 3 + 12 + 7 + 6 + 4 + 6

                                                                         = 38 units

Answer:

[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]

Answer:

multiple regression

Step-by-step explanation:

In the field of statistics, the multiple regression is the statistical technique which uses the various explanatory variables for predicting the outcome of the response variable. It is the extension of the simple linear regression. It explains the relation between the multiple predictor variables or independent variables and one dependent variable or criterion variable.

In the context, the manager of a tourist company predicting the number of calls to the toll free number is using the statistical technique of multiple regression.