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kipiarov [429]
3 years ago
5

Line segments can't be extended. True False

Mathematics
1 answer:
serg [7]3 years ago
7 0
False I hope this helps 
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Given: mAngleEDF = 120°; mAngleADB = (3x)°; mAngleBDC = (2x)° Prove: x = 24 3 lines are shown. A line with points E, D, C inters
N76 [4]

Answer:

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* <em>Look to the attached figure </em>

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

 vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1)                                                     Column (2)

m∠EDF = 120°                                               given

m∠ADB = 3 x                                                 given

m∠BDC = 2 x                                                 given

∠EDF and ∠ADC are vertical angles           defin. of vert. ∠s

∠EDF is congruent to ∠ADC                        vertical angles are      

                                                                        congruent  

m∠ADC = m∠ADB + m∠BDC                        angle add. post.

m∠EDF = m∠ADC                                          defin. of cong.

m∠EDF = m∠ADB + m∠BDC                         substitution

120° = 3 x + 2 x                                               substitution

120 = 5 x                                                         addition

x = 24                                                              division  

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

 angles then they are congruent according to vertical angle

 theorem

6 0
3 years ago
Read 2 more answers
Write an equation for this linear function. <br>f(0)=3 and f(3)=0 <br><br>f(x)=
Jlenok [28]

Answer:

f(x)=-x+3

Step-by-step explanation:

contains (0, 3) and (3, 0)

slope = (3-0)/(0-3)=3/-3=-1

f(x)=-x+b

b=3

f(x)=-x+3

5 0
2 years ago
Circles multiple choice<br>geometry <br>please help<br>​
Alexxx [7]

Answer:

a) 12 ( I'm pretty sure)

Step-by-step explanation:

5 0
2 years ago
A window shaped like a circle has a diameter of 15 centimeters what is the circumference of the window? Use 3.14 for pie
vova2212 [387]

C=2pir, so take half of 15 which is 7.5 and plug it in as r and you get 47.12. Or just look up circumference calculator on google.

5 0
3 years ago
How do you find the range of a function ?<br>​
Allushta [10]

By looking at the y values of a function or on a graph

8 0
3 years ago
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