write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.

Answers

Answer 1

Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

What is the SSS Congruence Theorem?

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information:

AB ≅ EDCA ≅ CEAC bisects BD

Since AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.

Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.

Therefore,  ΔABC ≅  ΔEDC by SSS Congruence Theorem.

The two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

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Write A Two Column Proof. Given: Ab Is Congruent To Ed, Ca Is Congruent To Ce; Ac Bisects Bd. Prove Abc
Write A Two Column Proof. Given: Ab Is Congruent To Ed, Ca Is Congruent To Ce; Ac Bisects Bd. Prove Abc

Related Questions

If ^ ABC ≈ ^ DEC, what is the value of x?

Answers

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?

Answers

Answer:

76%

Step-by-step explanation:

First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.

This means that 36 of the 150 seats are already taken.

But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.

The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%

Answer:

76% of the restaurant is still empty

Step-by-step explanation:

6 tables of 6 seated means there are currently 36 people seated. If the restaurant can seat 150 people, 76% of the restaurant is still empty.

[tex]6\times6=36\text{ | there are 36 guests}\\36\div150=0.24\text{ | 24\% of the restaurant is filled}\\1-0.24=0.76\text{ | 76\% of the restaurant is not filled}[/tex]

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.

What is a finance charge?

Answers

What is a finance charge?

are a form of compensation to the lender for providing the funds, or extending credit, to a borrower. These charges can include one-time fees, such as an origination fee on a loan, or interest payments, which can amortize on a monthly or daily basis. Finance charges can vary from product to product or lender to lender.

Hope It's Help

5(x-a)=3(x+b)

Solve for x

Answers

Answer:

[tex]x=\frac{3b}{2} +\frac{5a}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(x - a) = 3(x + b)

5x - 5a = 3x + 3b

      2x = 5a + 3b

        x = 2.5a + 1.5b

6:4 is equivalentto blank:24

Answers

24/4=6 so we must do 6x6=36. The final answer is 36:24

Help help help help help

Answers

Answer:

100°

Step-by-step explanation:

Answer:

∡5=100°

Step-by-step explanation:

∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.

Brainliest would be appreciated! :-)

can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!

Answers

Answer:

give heaven some hell by Hardy

Step-by-step explanation:

At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold?

Answers

Answer:

Step-by-step explanation:

A(1.00) + S(0.50) = 500

A + S = 900

S = 900 - A

A(1.00) + (900 - A)(0.50) = 500

              A + 450 - 0.5A = 500

                               0.5A = 50

                                    A = 100 adults

                                     S = 900 - 100

                                     S = 800 students

No. of students tickets sold is 800 and no. of adult tickets sold is 100.

What is linear equation in two variable ?

A linear equation has highest degree of 1 and it contains two variables generally x and y.

According to the given question At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500.

Assuming no. of students to be x and no. of adults to be y.

∴ x + y = 900...(i)

And

0.5x + y = 500...(ii)

Subtracting eqn (i) and (ii) we get

0.5x = 400

x = 800.

So, 800 + y = 900

y = 100.

Therefore how many tickets are sold is same as the no. of students and adults which are 800 and 100 respectively.

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Identify the slope and y-intercept of the line 4x + 2y < 3.

Answers

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?

Answers

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

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PLZ answer correctly! Brainliest!

Answers

Answer:

[tex]A=\left(-1\dfrac{5}{5}\right)=(-2)\\\\B=\left(-\dfrac{4}{5}\right)\\\\C=\left(\dfrac{3}{5}\right)[/tex]

Step-by-step explanation:

Look at the picture.

[tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex]

How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

What is simple interest?

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Data and Calculations:

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Learn more about simple interests at https://brainly.com/question/25793394

Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.

Answers

You didn't provide any graphs.

if g(x) = |2x-9|, find g(2)+g(3)

Answers

x=5 , x=3 - just plug in 2 and 3 into x and the lines will make it positive instead of negative

A positive integer squared plus 3 times it’s consecutive integer is equal to 43

Answers

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

Answer:

5

Step-by-step explanation:

let positive integer be x

x² + 3(x+1)=43

x²+3x+3-43=0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x+8) - 5(x+8)=0

(x-5)(x+8)=0

x-5=0 or x+8=0

x=5. or x=-8

but the question says positive integer,

therefore, x=5

1) write the measurement 4009 mm into the place value table below

a) what is 4009 mm in cm
b) what is 4009 mm in m

2) how many millimeters is 6 liters​

Answers

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!

Answers

Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

PLEASE HELP ME!! I NEED HELP WITH THIS

Answers

Answer: It is answer C.

Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1


Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.

A) logv5 2
B) logv5 (75/8)

Answers

The answer is B I could be wrong but I think that’s the answer

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:


what numbers can multiply to get -55 but also add to get -6

Answers

Answer: 1,  5,  11,  55

Differentiate y = sin^2x - cos^2x

Answers

Using the power and chain rules, the derivative of

y = sin²(x) - cos²(x)

is

dy/dx = 2 sin(x) cos(x) - 2 cos(x) (-sin(x))

dy/dx = 2 sin(x) cos(x) + 2 sin(x) cos(x)

dy/dx = 4 sin(x) cos(x)

and using the double angle identity for sine, this is equivalent to

dy/dx = 2 sin(2x)

Alternatively, we can first simplify y using the double angle identity for cosine:

cos(2x)= cos²(x) - sin²(x)

so that

y = -cos(2x)

and the derivative is

dy/dx = sin(2x) • 2

dy/dx = 2 sin(2x)

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m = —1/3

Step-by-step explanation:

There are two clear points shown on the graph

point 1: (0;3)

point 2: (6;1)

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

[tex]m = \frac{1 - 3}{6 - 0} [/tex]

[tex]m = - \frac{2}{6} [/tex]

[tex]m = - \frac{1}{3} [/tex]

Someone help?
Find the problem:
-5x - 16 = 8x - 1

Fix the problem:
?

Answers

[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]

Work out the area of the shaded shape. Need answer ASAP

Answers

Answer:

Step-by-step explanation:

A = 3(6) + 2(5 + 3 + 2) = 38 m²

5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.

Answers

Answer:

20 inches

Step-by-step explanation:

If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.

[tex]y=\frac{2}{5}x[/tex]

The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.

You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.​

Answers

Answer:

Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.

A provisional license holder under 18 may not drive without special permission _____________________ .
A between 8:00 a.m. and 9:00 pm
B between 12:00 am and 5:00 am
C between 5:01 am and 11:59 pm
D between 6:00 a.m. and 6:00 pm

Answers

Answer:

C

Step-by-step explanation:

A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.

3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.​

Answers

They cannot be simplified

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

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