The Hatfield and McCoy families are feuding over some land. Neither family will be satisfied unless the two triangular fields are exactly the same size. You know that C is the midpoint of each of the intersecting segments in the diagram. Are the two
triangles congruent?
Write a paragraph providing how you know. Include specific and appropriate vocabulary/terminology in your explanation.

The Hatfield And McCoy Families Are Feuding Over Some Land. Neither Family Will Be Satisfied Unless The

Answers

Answer 1

The two column proof has shown that:

The two triangles are congruent by SAS congruency postulate

How to use the Two Column Proof?

The two column proof to show that the two triangles are congruent is:

Statement 1: C is the midpoint of AD and BE

Reason 1: Given

Statement 2: AC ≅ CD

Reason 2: Definition of midpoint

Statement 3: BC ≅ CE

Reason 3: Definition of midpoint

Statement 4: ∠ACB ≅ ∠ECD

Reason 4: Vertical angles are congruent

Statement 5: ΔABC ≅ ΔDEC

Reason 5: SAS congruency postulate


Related Questions


Please Help. Find the value of x in the isosceles triangle shown below​

Answers

Answer:

the answer is 6

Step-by-step explanation:

By pytagoras Theorem

hope its helpful

What does this equal?

Answers

Answer:

x²y²+xy²+3+xy+2y²

Step-by-step explanation:

(2x²y²+x²y+xy²+3)-(x²y²+x²y²+x²y-xy-2y²)

1. remove the parentheses (when there’s - in front of an expression  in parentheses  change the sign of each term of the expression)

2x²y² + x²y + xy² + 3-x²y² - x²y² - x²y + xy - 2y²

2. eliminate the opposites

2x²y² + xy² + 3 -x²y² + xy +2y²

3. collect like terms

x²y² + xy² + 3 + xy + 2y²

Suppose a normal distribution has a mean of 26 and a standard deviation of 4. What is the probability that a data value is between 27 and 28? Round your answer to the nearest tenth of a percent.

A. 12.3%
B. 9.3%
C. 10.3%
D. 11.3%

Answers

Answer:

Answer is B. 9.3

Step-by-step explanation:

I took the test

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

What is z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

mean of 26 and a standard deviation of 4, For:

For x = 27:

z = (27 - 26) / 4 = 0.25

For x = 28:

z = (28 - 26) / 4 = 0.5

P(0.25 < z < 0.5) = P(z < 0.5) - P(z < 0.25) = 0.6915 - 0.5987 = 0.093

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

Find out more on z score at: https://brainly.com/question/25638875

HELP A 13 YEAR OLD PLEASEEEEEEEEEEEEEEEEEE

Answers

A and B.
Hope that helps!

Answer:

A and B

Step-by-step explanation:

also hey becky!

Please help !! :) 30 points.

Which could be measured in meters?
A. the weight of a whale
B. the amount of juice to buy
c. the length of a soccer field
D. the time it takes to run a mile
E. the temperature in summer

Answers

Answer:the length of a soccer field

PLZ GIVE ME BRAINLIEST

C.

Step-by-step explanation:

Help with my homework!

Answers

Answer:

a) 72 cm2 (centimeter square)

b) 9 cm2 (centimeter square)

c) 9 cm2 (centimeter square)

d) 54 cm2 (centimeter square)

Step-by-step explanation:

a) the area of the rectangle = Base x Height

= 12 x 6

= 72 cm2 (centimeter square)

b) the area of the triangle A = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

c) the area of the triangle B = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

d) area of the parallelogram = area of the rectangle - area of triangle A - Area of triangle B

= 72 - 9 - 9

= 54 cm2 (centimeter square)

What is the length of jL

Answers

Answer:

The length of JL is 18 feet

Step-by-step explanation:

This is true because the sides double in length

Answer:

18 ft

Step-by-step explanation:

The triangles are similar so the ratios must be the same

GI              IH

--------- = -------------

JL              LK

9               12

--------- = -------------

JL              24

Using cross products

9 *24 = JL *12

Divide each side by 12

9*24/12 = JL*12/12

18 = JL

2 Points
Classify the following triangle. Check all that apply.

Answers

The triangle is right
It's just a right triangle.

13. A pilot flying over norfolk airport is told he will have to redirect and land in either richmond or raleigh. Due to air traffic, he is then told he must land in raleigh. find the distance he will travel.
- the answer is 151 miles,but I need work :)

Answers

Answer:

151 mi

Step-by-step explanation:

Considering the question given, the distance we are trying to obtain is the distance between Raleigh and Norfolk.

Steps on how to obtain the distance travel by the pilot is given in the attached photo.

The given number line shows the solutions to which inequality?

A)

x + 7 ≤ 5



B)

x + 3 ≥ 1



C)

x − 5 > 2



D)

x − 1 ≤ 1

Answers

Answer:

A)

x + 7 < 5

Shows inequality

The correct inequality that represents the solutions on the given number line is C) [tex]\( x - 5 > 2 \).[/tex]

To find the correct inequality, we need to determine which one corresponds to the shaded portion of the number line. The shaded portion indicates the set of all [tex]\( x \)[/tex] values that satisfy the inequality.

Let's analyze each option:

A) [tex]\( x + 7 \leq 5 \)[/tex]

If we solve this inequality, we get:

[tex]\( x \leq 5 - 7 \)[/tex]

[tex]\( x \leq -2 \)[/tex]

This inequality would be represented by a number line shaded to the left of -2, including -2 itself. This does not match the given number line, which is shaded to the right of a point.

B) [tex]\( x + 3 \geq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \geq 1 - 3 \)[/tex]

[tex]\( x \geq -2 \)[/tex]

This inequality would be represented by a number line shaded to the right of -2, including -2 itself. However, the inequality sign in the question is non-inclusive, which means -2 itself should not be shaded. This does not match the given number line, which has a shaded circle at the starting point of the shaded region, indicating inclusivity.

C) [tex]\( x - 5 > 2 \)[/tex]

Solving this inequality, we get:

[tex]\( x > 2 + 5 \)[/tex]

[tex]\( x > 7 \)[/tex]

This inequality would be represented by a number line shaded to the right of 7, not including 7 itself. This matches the given number line, which shows the shaded region starting just to the right of 7 (indicated by an open circle at 7).

D) [tex]\( x - 1 \leq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \leq 1 + 1 \)[/tex]

[tex]\( x \leq 2 \)[/tex]

This inequality would be represented by a number line shaded to the left of 2, including 2 itself. This does not match the given number line, which is shaded to the right of a point and has an open circle at the starting point of the shaded region.

Therefore, the correct answer is C)[tex]\( x - 5 > 2 \)[/tex], as it accurately describes the shaded region on the given number line.

At the beginning of summer, the water level on a pond is 2 feet below its normal level. After an unusually dry summer, the water level on the pond dropped another 2 feet. How far above or below the normal water level is the pond at the end of the summer?

Answers

Answer:

Step-by-step explanation:

find the exact length of the third side

Answers

Answer:

9

Step-by-step explanation:

a triangle is bacicly half of a rectangle so 3 x 6 is 18 but since it's just half, you divide by 2 and you get 9!

Step-by-step explanation:

Phytagoras Theorem :

c² = a² + b²

c² = 3² + 6²

c² = 9 + 36

c² = 45

c = √45

So, the exact length og the third side is 45

Hope it helpful and useful :)

What is the scale factor of figure A to figure B?

Answers

B is 1/4 the size is of triangle A. The corresponding sides have a 4:1 ratio.


2. Vance is solving the inequality below and will represent his solution on a number line. Which of the following is NOT true about the number line Vance will create?


-7c-13<64
-



a. The number line should have a closed circle



b. The arrow will point to the left



c. The circle should be placed above -11



d. All of the above are true

Answers

b

explanation: open circles are only for the inequalities with the line under the symbol,
the circle is going from -11 to greater numbers, and d is wrong.

so b is wrong!

Which congruence theorem can be used to prove △ABC ≅ △DEF?

Answers

Answer:

Hope this helps! If it doesn't let me know and I will try and answer it better!

Step-by-step explanation:

HL Congruence Theorem

This shows that _ AC ≅ . Therefore, △ABC ≅ △DEF by . Use the HL Congruence Theorem to prove that the triangles are congruent. A Given: ∠P and ∠R are right angles.

A bond is initially bought for $250. It doubles in value every decade.Write an equation relating v, the value of the bond, to d, the number of decades since the bond was bought.

Answers

Answer:

V=250(2d)

Step-by-step explanation:

The equation representing the value of a bond doubling every decade is

V = 2d(250).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A bond is initially bought for $250 and it doubles in value every decade.

Let, 'v' be the value of the bond at any given time and 'd' be the number of decades.

Therefore, The equation that represents this situation is,

V = 2d(250).

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ3

Score for Question 3: ___ of 5 points)
3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leave radicals in your answers.

How many equilateral triangles are there? __________
If we cut an equilateral down the middle (green line) what special triangle do you create? __________
Sketch and label all side lengths of the 30-60-90 triangle by itself below.
What is the length of the short side of one 30-60-90 triangle? __________
What is the length of the hypotenuse of one 30-60-90 triangle? __________
Apply properties of 30-60-90 triangles to calculate the long leg: ¬¬¬¬___________
What is the vocabulary word for the long side of the 30-60-90 called in the polygon (green line)? ____________
What is the height of the equilateral triangle? _________
Apply triangle area formula to calculate the area of one equilateral triangle: ____________
Calculate the area of the complete hexagon by multiplying area of one equilateral triangle by # of triangles:

Answers

Answer:

(a)6 Equilateral Triangles.

(b)30-60-90 triangle.

(c)See Attached Triangle in Figure 2

(d)Length of the short leg = 2cm.

(e)Length of the hypotenuse= 4cm.

(f)Length of the long leg=[tex]2\sqrt{3}cm[/tex]

(g)Apothem.

(h)Height of the Equilateral triangle=[tex]2\sqrt{3}cm[/tex]

(i)Area of One Equilateral triangle =[tex]4\sqrt{3}cm^2[/tex]

(j)Area of Hexagon =[tex]=24\sqrt{3}\:cm^2[/tex]

Step-by-step explanation:

(a)From Figure 1, there are 6 Equilateral Triangles.

(b)If we cut an equilateral down the middle (green line), we create a 30-60-90 triangle.

(c)Triangle Attached in Figure 2.

(d)The length of the short leg of one of the 30-60-90 triangle is 2cm.

(e)The length of the hypotenuse of one of the 30-60-90 triangle is 4cm.

(f)Length of the long leg

We use Pythagoras Theorem to find the length of the long leg of the right triangle.

[tex]4^2=2^2+l^2\\l^2=4^2-2^2=12\\l=\sqrt{12}=2\sqrt{3}cm[/tex]

(g)The vocabulary word for the long side of the 30-60-90 called in the polygon (green line) is Apothem.

It is line segment from the center to the midpoint of one of the sides of a polygon.

(h)Height of the Equilateral Triangle=[tex]2\sqrt{3}cm[/tex]

(i)Area of One Equilateral triangle

Base =4 cm, Height =[tex]2\sqrt{3}cm[/tex]

Area=0.5X4X[tex]2\sqrt{3}cm[/tex]

=[tex]4\sqrt{3}\:cm^2[/tex]

(j)Area of Hexagon =Area of One Equilateral Triangle X 6

[tex]=6X 4\sqrt{3}\\=24\sqrt{3}\:cm^2[/tex]

What is the 6th term in this geometric sequence? 5, -15, 45, -135

Answers

Answer:

-1215.

Step-by-step explanation:

For a geometric sequence:

nth term = a1 r^(n-1)

The first term a1 = 5 and the common ratio r  = -15/5 = -3.

So 6th term = 5 * (-3)^(6-1)

=  5 * (-3)^5

= -1215.

The 6th term in this geometric sequence should be considered as the -1215.

Calculation of the 6th term:

The following formula should be used for the same.

nth term = [tex]a_1\ r^{(n-1)[/tex]

Here,

The first term a1 = 5

and the common ratio r  = [tex]-15/5[/tex]= -3.

So 6th term should be

[tex]= 5 \times (-3)^{(6-1)}[/tex]

[tex]= 5 \times (-3)^5[/tex]

= -1215

Hence, The 6th term in this geometric sequence should be considered as the -1215.

Learn more about geometric here: https://brainly.com/question/16009711

What is the slope between the points (0,–5) and (–9,1)?

Answers

Final answer:

The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.

Explanation:

To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.

Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.

In driving down to Salem, Nathan strictly followed the speed limit. He drove 55 mph for 15 minutes in the city and then 65 mph for 25 min through the countryside.

What was Nathan’s average speed for the whole trip?

Answers

61.25MPH

55*15+65*25=2450

2450/40=61.25MPH

ANSWER IS 61.25 MPH

A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the interior of the house?

Answers

Answer:

29,600 feet cubed

Step-by-step explanation:

The surface area is 3700 square feet.

The house is 8 feet tall.

Simply, you just have to multiply 3700 * 8.

plz answer the question

Answers

Answer:

c = 11.3 yards

Step-by-step explanation:

The area (A) of a trapezium is calculated as

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

where h is the perpendicular height and a, b the parallel bases

Here A = 416.955, h = 20.9, a = 28.6 and b = c, thus

[tex]\frac{1}{2}[/tex] × 20.9 × (28.6 + c) = 416.955, that is

10.45(28.6 + c) = 416.955 ( divide both sides by 10.45 )

28.6 + c = 39.9 ( subtract 28.6 from both sides )

c = 11.3 yards

Please help I really need it!! Answer for both

Answers

Answer:

(-11, -4)

Step-by-step explanation:

this is the answer

ANSWER ASAP!
How many solutions does this system have?
y=3x-5
y=-x+4

one
two
an infinite number
no solution

Answers

It has one solution

Find the surface area of a cylinder with a base radius of 4m and a height of 5m.
Write your answer in terms of pi, and be sure to include the correct unit.

Answers

Answer:

A≈226.19

Step-by-step explanation:

The formula is A=2πrh+2πr²

you fill in the radius and get A=2π4h+2π4²

Then fill in the height and get A=2π4×5+2π4²

and your final answer would be A≈226.19

Help out please thank you

Answers

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8  + 34  + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality describes the number of bracelets that Emilia made. Which could be a solution to the inequality?

26

29

33

40

Answers

Answer:

The answer is A. 26

Step-by-step explanation:

26 is the only answer that makes sense becuase it is the only one less that 27. The answer is written as 26>27. All tho anwers dont make sense because they are less than 27.

PLUS I TOOK THE TEST

How do I find this?Please help!!!

Answers

Answer:

d) [tex]y=-\frac{1}{2} (x-3)^{2} -4[/tex]

Step-by-step explanation:

When you reflect an equation the slope is the opposite (if the slope is positive it'll be negative when reflected)

The slope is [tex]\frac{1}{2}[/tex] and when it is reflected it is [tex]-\frac{1}{2}[/tex]

When you shift something to the right you add [tex](x-3)^{2}[/tex]

Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ​⨀O


.

Answers

Answer:

Can you please provide a picture of the line/segment?

Step-by-step explanation:

Radius: line from center of circle to side

Diameter: double the radius, goes straight through middle of circle

Secant: line that intersects the circle in two different points

Chord: line that intersects the circle in exactly one point, called the point of tangency

hope that helps :)

$2.95 for a notebook plus 7% tax.
I need help with this

Can you include steps please

Answers

Answer:

$3.16

Step-by-step explanation:

$2.95 + 7%= 3.1565

by rounding up you get $3.16.

Answer:

$3.16

Step-by-step explanation:

To find the total, find how much the tax is.  Multiply the price of the notebook by the percentage the tax is.

$2.95 × 0.07 = $0.21

Add the value of tax with the price of the book.

$2.95 + $0.21 = $3.16

You can also solve this problem by multiplying the price of the notebook by the percentage of the tax plus one.

$2.95 × 1.07 = $3.16

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