Use deductive reasoning to show that the two triangles are congruent. given that fab is congruent to ged and c is the midpoint of ae prove that abc is congruent to edc

Use Deductive Reasoning To Show That The Two Triangles Are Congruent. Given That Fab Is Congruent To

Answers

Answer 1

Answer:

ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule

Step-by-step explanation:

The

Statement                   [tex]{}[/tex]                                    Reason

∠FAB ≅ ∠GED                   [tex]{}[/tex]                             Given

C = Midpoint of [tex]\overline {AE}[/tex]                     [tex]{}[/tex]                    Given

∠BAC and ∠FAB are supplementary             Angles on a straight line

∠DEC and ∠GED are supplementary             Angles on a straight line

∠BAC ≅ ∠DEC                     [tex]{}[/tex]                            Transitive property

[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex]                    [tex]{}[/tex]                                       Definition of midpoint

ΔABC ≅ ΔEDC                     [tex]{}[/tex]                             ASA congruency rule  

Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent.     [tex]{}[/tex]                              


Related Questions

What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?

Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Answers

Answer:

Option (2)

Step-by-step explanation:

Given trigonometric expression is,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]

This expression is in the form of an identity,

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]

                                                  = cos[tex](\frac{11\pi+3\pi}{21})[/tex]

                                                  = cos[tex](\frac{14\pi}{21})[/tex]

                                                  = cos[tex](\frac{2\pi}{3})[/tex]

                                                  = -[tex]\frac{1}{2}[/tex]

Therefore, Option (2) will be the answer.

Answer:

B. -1/2

Step-by-step explanation:

on edge

can you solve this problem

Answers

Answer:

78 people were originally on the boat

Step-by-step explanation:

Answer:

78 people started on the boat

Step-by-step explanation:

HELPP HELPP HELPP!!!

Answers

Answer:

x<2

x greater or equal to -2

Step-by-step explanation:

Answer:

the answer is x<2

Step-by-step explanation:

meaning x greater or equal to -2!

bye

Can someone please help me with this

Answers

Answer:

8 and 7, I think...

Step-by-step explanation:

keep it up

Supplementary means that the 2 angles add up to 180 degrees. This means that angles 7 + 8 are supplementary

answer the question >:D

Answers

Answer:

15 is the diameter and 7.5 is the radius

Step-by-step explanation:

The radius is the half of the diameter hehe boi

Blank to division problems must be interpreted correctly to answer real life problems.

Answers

Answer:

i agree

Step-by-step explanation:

Answer:

possibly " remainders "

Step-by-step explanation:

hope this helps <3

True or false don’t lie

Answers

Answer:

t

Step-by-step explanation:

falseeeeeeeeeeeeeeeeeeeeee

Lowest temps, Ontario, CA, April 2020 Date Low temperature 4/4/20 −1.8 °C 4/12/20 0.6 °C 4/18/20 −2.8 °C 4/23/20 (missing) 4/28/20 −0.2 °C The table shows the lowest temperatures recorded on five days in April 2020, but the value for 4/23/20 has been lost. If X is the lost value, and if we know that X was the middle value of the five days, which choice could be the value of X? A) −1.9 °C B) −0.9 °C C) −0.1 °C D) 0.4 °C

Answers

Answer: D

Step-by-step explanation:

If you notice there is a pattern going on here the first temp recorded is negetive then the next is a normal temp then the next is  negetive so it would be reasonable to think that the next temp would be normal and all the other options are negetive exept for one which is D so the answer is D.

Answer:

Step-by-step explanation:

   mn[tex]x^{2} \\jjl[/tex]

There are 30 dogs, 40 cats, 45 turtles, and 20 birds in a park. What is the ratio of the total number of cats and dogs to the number of turtles?

Answers

Answer:

70:45

Step-by-step explanation:

I don't really know how to explain this sorry

Hopefully this helps though!

the answer is 70:45

what is the value of (-2)^6 ?

Answers

Answer:

64

Step-by-step explanation:

Answer:

-64 would be the answer

Ayuda por favor en la actividad 3 , Funciones, Matemáticas

Answers

Answer:

y = 1

y = 16

y = 20

y = 0

Step-by-step explanation:

Por cada valor de x intercambialo con su valor nuevo.

8) You and your friends order a meal for $179.77. How much tip
should you leave if you want to leave a 15% tip?
9) You and your friends order a meal for $149.58. How much
should you leave (including tip) if you want to leave a 18% tip?|

Answers

The answer for 8 is a $27 tip

The answer for 9 is a $26.92 tip

a rectangle with vertices located at (-3, -4), (-3, 7), (12, -4), and (12, 7). What is the length of each of the longer sides of the rectangle?

Answers

rectangle area: length x width

multiply each x-axis with the y-axies then find the mean average

Answer:

length: 15 units

Step-by-step explanation:

The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden? Explain how you know in the work space provided.

Answers

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

Determine whether each expression is a polynomial. If so, identify the polynomial
as a monomial, binomial, or trinomial.

Answers

Answer:

1. is monomial

2. is binomial

3. is binomial

4. is trinomial

5. is trinomial

6. is binomial

Step-by-step explanation:

See...you need to know that the polynomial is determined by the number of unlilke terms in the expresion. i.e number of terms left that cant ne add subtracted or simplified anymore.

if its helpful send more quest om this...and domt forget brainliest

The expression shown are 1. Monomial 2. Not a polynomial 3. Binomial 4. Trinomial 5. Not a polynomial 6. Binomial

What is Polynomial?

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. 36

36 can be written as 36 x⁰.

This is a constant polynomial.

Since there is only one term, it is monomial.

2. [tex]\frac{3}{q^{2} }[/tex] + 5

This can be written as 3 q⁻² + 5.

The exponent of the variable is not a whole number, so is not a polynomial.

3. 7x - x + 5

This can be written as 6x + 5.

This is a polynomial and is binomial since there are two terms.

4. 8g²h - 7gh + 2

This is a polynomial in two variables.

This is a trinomial, as there are three terms.

5. [tex]\frac{1}{4y^{2} }[/tex] + 5y - 8

This can be written as 1/4 y⁻² + 5y - 8

This is not  a polynomial as the exponent is not a whole number.

6. 6x + x²

This is a polynomial.

It is a binomial.

Hence four of the expressions shown are polynomials.

To learn more about Polynomials, click on the link :

https://brainly.com/question/11536910

#SPJ2

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

2

Step-by-step explanation:

took it on edg

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. How much does an ice cream cost with 4 ounces of toppings?

Answers

Answer:

5 dollars

Step-by-step explanation:

an ice cream is 3 dollars and 1 ounce of toppings is 50 cents 0.5 dollars times 4 equals 2 dollars. so 3+2 equals 5

Answer:

$5.00 I believe.

Step-by-step explanation:

Please help and thank you for helping me out

Answers

Step-by-step explanation:

1. d=30

2. b=8

3. n=-7

5. v=17

6.x=-13

7. b=48

Question 3 (2 points)
If given an Equation, you will do which of the following (Check all that apply)?
a
Solve
b
Simplify
Evaluate
с
d
All of the Above

Answers

D all of above is the answer
It’s D all the above

what is the ratio for 8 and 12

Answers

It can be 8:12 or as a fraction it’s 8/12

can someone help me I will give 30 points

Answers

Answer:

40.

Step-by-step explanation:

Look on the graph under minutes and go to minute one and in one minute it can make forty. just go straight up to until you reach the line.

Can I have brainlliest? Hope it helps.

Answer:

30

Step-by-step explanation:

An is a mathematical statement that shows two expressions are equal using an equal sign.

Answers

No! Because a mathematical statement is actually a statement that is either true or false not a statement that shows two expressions are equal using an equal sign!

Answer:

fix the awser

Step-by-step explanation:

which expressions are equivalent to -56z+28?
choose 2 correct answers:
a: 1/2 x (28z + 14)
b: (-1.4z + 0.7) x 40
c: (14 -7z) x (-4)
d: (8z - 4) (-7)
e: -2(-28z -14)

Answers

Answer:

e

Step-by-step explanation:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords

Reduce to simplest form
6/3 + (-1/6) PLZ HURRY!

Answers

11/6
1.83 repeat
1 5/6
15/6 is your answer :))))))))).

how many significant digits are there in 074.0030

Answers

Answer:

Step-by-step explanation:

6 significant digits

only the first zero is not counted.

Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, in months?

A.) () = $125 + $22
B.) () = $125 + $22
C.) () = $125 + $22
D.) () = $125 + $22

Answers

Answer:

which principle prevents a brach from abusing  its powerwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

ILL GIVE BRAINLY my bruh

Answers

The answer is would be c

PLZ HELP with this problem
Leah combines 6.54 ounces of strawberries with 6.09 ounces of blueberries to make fruit bowls. She pours the fruit equally into 3 bowls, and has 1.68 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

4.21 Ounces

Step-by-step explanation:

You first want to add 6.54 to 6.09 getting you an answer of 12.63 then you want to divide that by 3 which gets you an answer of: there are 4.21 ounces in each bowl.

I have no idea what to do here please help

Answers

Answer:

m = 5

m = -3

m = 1/6

m = 2/7

m = -8/3

How do you solve this?!!

Answers

Answer:

135°

Step-by-step explanation:

Step 1:

100° + 35° + 180° - ? = 180°        Sum of a Δ/Vertical ∠'s

Step 2:

315° - ? = 180°        Combine Like Terms

Step 3:

315° = 180° + ?        Add ? on both sides

Step 4:

315° - 180° = ?     Subtract

Answer:

? = 135°

Hope This Helps :)

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