The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?

The values of [tex]a_1[/tex] is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.

Given that,

The geometric series is,

2  – 2 + 2 – 2 + 2

We have to determine

What are the values of a1 and r of the geometric series?

According to the question,

2  – 2 + 2 – 2 + 2

The geometric series [tex]a_1[/tex] is the first term of the geometric sequence and r is the common ratio of the geometric series.

The first term of the given geometric series is 2.

And the common difference in the given geometric series is,

[tex]\rm r = \dfrac{a_2}{a_1}[/tex]

Where [tex]a_1[/tex] is the first term of the geometric sequence and [tex]a_2[/tex] is the second term of the geometric sequence.

Then,

The common difference in the given geometric series is,

[tex]\rm r = \dfrac{-2}{2}\\\\r = -1[/tex]

The common ratio in the given geometric series is -1.

Hence, the values of [tex]a_1[/tex] is 2 and r is -1 of the geometric series

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Answer:

C

Step-by-step explanation:

|-12|= 12

this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)

Answer:

20%

Step-by-step explanation:

54-45 = 9

9/45 = 0.2

0.2*100 = 20

Production increased 20%

Answer:

C   y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

Answer:

i believe its 58%

Step-by-step explanation:

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

Learn more about centers of a triangle on:

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Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

[tex]\rm y=4x-4\\y=-4x+4[/tex]

On adding both the equation,

[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]

Substitute y = 0 to evaluate the value of x.

[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

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Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The measure of angle 1 = 2 × The measure of the angle 2 + 18

Write an equation for the above statement,

x = 2y + 18

Here, x is a measure of angle 1 and y is the measure of angle 2,

As you can see from the figure it is a parallelogram then,

x + y = 180  (The sum of supplementary angle)

Solve the equation by elimination method,

y = 54, x = 2 × 54 + 18 = 126

The opposite angle of a parallelogram are equal,

Measure of angle 3 = Measure of angle 1 = 126

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#SPJ2

Answer:

7 people

Step-by-step explanation:

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.

Answer:

put the examples on the test or assignment so i can answer it

Step-by-step explanation:

the slope of the line between the first 2 points must be the same as the slope between the second and the third point.

the slope is y difference / x difference.

so,

b/a = d/c

-3/1.6 = d/1.5

d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125

Answer:

B) 6

Step-by-step explanation:

If this is similar triangles:

x:42=6:42

Well you could also just

bigger triangle is isosceles

so x=6

Answer:

42

Step-by-step explanation:

65000000/65000=1000

24hrs=1 day

1000/24=125/3

125/3 times 1000= 42

Answer:

10. SAS

11. SAS

12. SAS

13. SSS

14. SSS

15.ASA

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

g(x) = 2x + 2

g(3) = 2*3 + 2             Substitute 3 for x.

g(3) = 6 + 2                 Multiply.

g(3) = 8                       Add.

Answer:

g(3) = 11

Step-by-step explanation:

Substitute x = 3 into g(x) , that is

g(3) = 3² + 2 = 9 + 2 = 11

Answer:

A = 21 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between bases and b₁, b₂ are the parallel bases

Here h = 3, b₁ = 9, b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (9 + 5) = 1.5 × 14 = 21 cm²

Answer:

A) 15+ (-13) + (-2) = 0

Step-by-step explanation:

we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.

The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0

Answer:

The first option.

Step-by-step explanation:

She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.

Hope this helps and have a good day!:)

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

Answer:

Step-by-step explanation:

19620 J.

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

7 is the answer.

Pls mark brainliest.

Answer:

5x+7

Step-by-step explanation:

Answer:

D im pretty sure

Step-by-step explanation:

If each line is 20 x 3 = 60 12 dots 60 + 12 = 72 divided by 3 circles = 24