Question in picture

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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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

For more details about Geometric progression refer to the link given below.

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Answer:

10950 feet

Step-by-step explanation:

1 mile is 5280 feet

5280*2=10560

10560+390=10950

:)

Answer:

Your answer would be 10950!

Step-by-step explanation:

Answer:

1 solution is the answer

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

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:

5x+7

Step-by-step explanation:

Answer:

You already know the answer is -108

Step-by-step explanation:

There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us

x^2 - 6x +9

Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So

-54x + -54x is the -108x term you are interested in.

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:

Yes they will read the same amount of pages in 3 days

Step-by-step explanation:

Because when you do the math they add up to the same amount of pages.

The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Robert reads 30 pages the first day and 20 pages each day after that.

And, Tony reads 40 pages the first day and 15 pages each day after that.

Now,

Let the number of days for same pages read = x

So, We can formulate;

For Robert;

Number of pages = 30 + 20x

For Tony;

Number of pages = 40 + 15x

For equal days, we get;

⇒ 30 + 20x = 40 + 15x

Solve for x as;

⇒ 20x - 15x = 40 - 30

⇒ 5x = 10

⇒ x = 2

Thus, The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

Learn more about the mathematical expression visit:

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Answer:

for every 1000 people, the maximum noise level goes up by 1.5

[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:

B.

Step-by-step explanation:

Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

She bought a total of 17 apples and lemons combined.

So the equation that would represent this is,

l + a = 17.

Each apple costs 35¢ and each lemon costs 15¢. All the lemons and apples cost $3.95 togther.

So the equation that would represent this is,

0.15l + 0.35a = $3.95

A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Answer:

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

Answer:

Simplfy 823543000000

Exponential form 8.23543 × 10^11

Answer:

I think he is correct.

Step-by-step explanation:

I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.

Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.

On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.

So Tom is incorrect.

And for how many times it will take Tom for all the numbers to occur is all by luck and chance.

But each number is equally likely to come.

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

Answer:

8x + 16

Step-by-step explanation:

4x times 2x = 8x

4 times 4 = 16

8x + 16

YW!!!

Answer:

The solution is 6x+4

Step-by-step explanation:

4x+(2x+4)

= 4x+2x+4

= 6x+4

in the parentheses we lose it because it is added instead of multiplied

Answer:

Step-by-step explanation:

Answer:

10. SAS

11. SAS

12. SAS

13. SSS

14. SSS

15.ASA

Step-by-step explanation:

Answer:

C = 11.18

Step-by-step explanation:

You're trying to find c's value, right?

For triangles, a^2 + b^2 = c^2

What you want to do is replace the values into the formula.

A = 5

B = 10

5^2 + 10^2 = c^2

(^2 means squared by the way if you don't know)

Square the values.

25 + 100 = c^2

125 = c^2

You then have to find the root value of 125. What number squared equals 125?

Using a calculator, you would find the number is 11.18.

So, the value of c is 11.18

Please let me know if that wasn't what the question was asking and I'll try to help :)

Answer:

the area of the tile is 190 cm2

Answer:

[tex] \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } [/tex]

Answer:

1. -1/2

2. Graph attached below:

Step-by-step explanation:

1) To find to slope of the line with two points would be the following equation:

[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]

So let’s assume our variables and subsitute them to see that the Carma’s Working out is an error.

Form: [tex](x_{2}, y_{2}), (x_{1}, y_{1})[/tex]

[tex]y_{2} = 3[/tex]

[tex]y_{1} = 1[/tex]

[tex]x_{2} = 7[/tex]

[tex]x_{1} = 11[/tex]

[tex]3 - 1 / 7 - 11 = -1/2[/tex]

1. Error one: The point values of the slope aren‘t correctly labeled and are not the same form as in the formula.

2. Error two: The slope output is not correct, it is 2 but the slope is -1/2.

Now let’s get on the graph of Carma’s workout, I can spot that the point (-4, 5) is not plotted correctly. Instead it is plotted (4, -5). To understand clearly I will label these points on a graph, image attached below:

3. Error three: The point (-4, 5) is not plotted correctly, x should be negative and y should be positive.

4. Error four: The slope is not correct, instead the slope of the graph is negative but we need a positive slope.

Now it is time to fix Carma’s mistakes:

1) Slope: -1/2

2) Graph attached below

Answer:

not 100% but i think 196

Step-by-step explanation:

you go 134+3.6 then just divide by 0.7

Answer:

Step-by-step explanation:

19620 J.

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