The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?

please help me it’s due in 30 minutes!!

The Perimeter Of Triangle ABC Is 138 Cm And BC || DE. Is Triangle ABC = Triangle ADE? Which Conjecture

Answers

Answer 1

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

Answer 2

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

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Related Questions

At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.



It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.

Group of answer choices

89.60

896.00

8.96

69.80

Answers

Answer:

So the correct answer for that would be 89.6

$89.60

8.96 x 4 = 35.84 - The cost of the kids combined

8.96 x 6 = 53.76 - the cost of the mom

35.84 + 53.76 = 89.60

david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined

Answers

Answer:

so what are you asking

Step-by-step explanation:

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

42 square feet

Step-by-step explanation:

the smaller square at the bottom

3 x 2 = 6 square feet

the larger square

3 x11 = 36

add the two areas together

36+6 = 42

ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls

Answers

Answer:

[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]

Step-by-step explanation:

[tex] \text{3a + 2(2a - 1) = 33}[/tex]

Distribute 2 through the parentheses

↦[tex] \text{3a + 4a - 2 = 33}[/tex]

Add the terms : 3a and 4a

↦ [tex] \text{7a - 2 = 33}[/tex]

Move 2 to right hand side and change it's sign

↦ [tex] \text{7a = 33 + 2}[/tex]

Add the numbers : 33 and 2

↦ [tex] \text{7a = 35}[/tex]

Divide both sides by 7

↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]

↦ [tex] \text{a = 5}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]

\tt{\huge{ {a = 5}}}

[/tex]

Step-by-step explanation:

[tex]3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

[/tex]

Which one ?
A. B. C. or D? ​

Answers

Answer:

ummm...............

Find the values of x and y. 3x - 5 5y - 4 y + 12​

Answers

The values of x and y in the equilateral and Isosceles triangles are 7 and 4 respectively.

What is an equilateral triangle?

An equilateral triangle is a triangle that has all its sides equal to each other.

Therefore,

3x - 5 = 5y - 4 (equilateral triangle)

3x - 5y = 1

Therefore,

y + 12 = 3x - 5 (Isosceles triangle)

y - 3x = - 17

Hence,

3x - 5y = 1

- 3x + y = - 17

-4y = -16

y = -16 / -4

y = 4

Therefore,

3x = 1 + 5(4)

3x = 21

x = 21 / 3

x = 7

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:::::::::::::::::::bdisbsidvwish

Answers

Answer:

what you are looking for is the exact form which is 71 over 12

I hope this helps you!

(p.s can I please have brainlyest?)

Step-by-step explanation

Exact form: 71/12

Decimal form: 5.916

Mixed number: 5 11/12


What is the length of DE?
2.9 units
7.2 units
12.5 units

Answers

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

Which equation is equivalent to y=2/3x-6
A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

Answers

Answer:

D. 2x-3y=18

Step-by-step explanation:

1. multiply both sides by 3 to get rid of the fraction

( 3)(y)=([tex]\frac{2}{3}[/tex]x -6)(3)

2. That gives 3y=2x-18

3. subtract 2x on both sides

   3y=2x-18

 -2x = -2x

3. that gives -2x+3y=-18

4. then multiply by -1 to make 2x positive

 -1(-2x+3y=-18)

5. and that gives 2x-3y=18

A grocery store sells a bag of 6 oranges for $3.30. What is the unit cost?

Answers

Answer:19.8$

Step-by-step explanation:

so like i really need some help

Answers

Answer:

B: distinct parallel lines

Step-by-step explanation:

Please help ASAP !! Need it rn

Answers

Answer:

if the lines have arrows at the end then the domain is infinite.

Step-by-step explanation:

Lines are infinite

Answer:

Domain: x ∈ all real numbers

Step-by-step explanation:

It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.

3. 9x10^4. 4. 5x10^7. Please answer 3 and 4

Answers

Answer:

9 times 10 to the power of 4 is equal to 9 times 10,000

Step-by-step explanation:

3) is 4 times greater

4) 7 times greater

Answer:

hvuhbivjkfhigoveriudjkvejrsdvuweduv

Step-by-step explanation:

udsijnvcifudjkbnvueifvbbaeunidsv

;)

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

How to find what the y-intercept represents?

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

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Answer:

Answer is A

Step-by-step explanation:

Which sequences of transformations confirm the congruence of shape II and shape I?

a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 180° rotation about the origin

Answers

A,B,C

Step-by-step explanation:

Answer:

A, B and C

Step-by-step explanation:

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).

Answers

Answer:

X=1 or C

I hope this helps:)

Answer:

The Answer is C. x = 1

Hope This Helps!

Students at the college are allowed to work on campus
no more than 20 hours per week. The jobs that are
available pay different rates, starting from $8.75 an hour.
Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the
constraints in this situation.

Answers

Answer: theres a website called weegy did you try that?

4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?

Answers

Answer:

175

Step-by-step explanation:

trust me .

Answer:

318.5

Step-by-step explanation:

30% of 245 is 73.5

245 + 73.5 = 318.5

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __

Answers

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

[tex]= 3,000,000[/tex]

[tex]=3\times10^6[/tex]

On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

which of the tables represent a function?
PLEASE BE QUIIICCCKKK​

Answers

Answer:

I think its C or A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can never have a 'x' with two values.

If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).

Following this,

A: x = 3 has two f(x) = 2 & 1, so it's not a function

Similarly you can check for all.

There is only one table which x has a unique value.

Correct B

Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.

Also, a function is possible only when it satisfies this. But

f(x) = a, f(y) = a, f(z) = a is possible.

The first term of an arithmetic sequence is 10 and its common difference is negative seven.

Answers

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

Question 17 please I rly need help

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] of [tex]\frac{4}{5}[/tex]

"of" translates to a multiplication symbol in math.

So it's asking for: [tex]\frac{3}{4}[/tex] x [tex]\frac{4}{5}[/tex]

You could cross out both fours getting to the answer of [tex]\frac{3}{5}[/tex]

0.6 as a number 3/5 as a fraction

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

713.49 written in standard form

Answers

Answer:

7.1349 * 102

Step-by-step explanation:

Hope this helps. Have a great day!

Can anyone help me with thiss? I need the solution ASAP! [tex](n − m)2 for m = −3 and n = 7[/tex]

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Algebric Operation,

here, m=-3 and n=7

, after substituting we get as,

(7-(-3))*2

=> (7+3)*2

=>10*2

=>20

hence, final answer is 20

The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day

Answers

Answer:

The answer is C. $0.50 per day .

Hope this helps

Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.

The unit rate is the cost per one unit of a given quantity.

In this case, it's the cost of an overdue book per day.

In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.

Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.

The formula for calculating the slope (m) between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

Let us take two points from graph: (4, 2) and (6, 3)

Unit rate = 3-2/6-4

=1/2

=0.5

Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.

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plz help me because I need it ​

Answers

Answer:

C

Step-by-step explanation:

Answer: is C so sorry if I’m wrong

Samantha's dad paid $47.00 for 20 gallons of gas. What is the price, per gallon of gas in dollars and cents? $

Answers

Answer:

2.35 dollars per gallon

Step-by-step explanation:

All you have to do for a question like this is divide the amount of money by the amount of product.

47 divided by 20 = 2.35

Answer:$2.35

Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.

So the price per gallon is $2.35.

Need help answering 25pts ?

Answers

Answer:jnvjdfsStep-by-step explanation:

,vjkhfdsjhfjlsdhjkfDhjkdmnf,sdnfjdf

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