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Elis [28]
3 years ago
7

What is the value of x?

Mathematics
2 answers:
larisa [96]3 years ago
5 0
26 because it’s a supplementary angle. d measures 52 degrees and 52/2 is 26.
liberstina [14]3 years ago
4 0
26 because 180-128=52 and 52 divides by 2 =26
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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
Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 an
irakobra [83]

Answer:

Letter B matches the probability.

Step-by-step explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 = \frac{\text{Favorable outcome}}{\text{Number of events}}

= \frac{1}{6}

On a number line fraction \frac{1}{6} can be represented by,

An small section (A to B) will represent the fraction = \frac{1}{6}

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.

4 0
2 years ago
On 12/31/18, Hite Industries reported retained earnings of $475,000 on its balance sheet, and it reported that it had $135,000 o
olganol [36]

Answer:

Dividends = $105000

So option (c) will be correct answer

Step-by-step explanation:

We have given that Retained earning on 12/31/18 is $475000

And retained earning on 12/31/18 is $445000

Net income = $135000

Change in retained income = $475000-$445000 = $30000

We have to find dividends

We know that dividends is given by

Dividends = net income - change in retained income = $135000-$30000 = $105000

So option (c) will be correct answer

7 0
3 years ago
HELP <br> what is 5.476 rounded to hundreths and how do you round the numbers <br> GIVING 12 POINTS
Bond [772]
Hundredths are the second number after the decimal, which is the 7. The number, 5.476, rounded is 5.48. You round numbers by looking at the number after what place you want to round by. For example, if I had 5.28 and wanted to round it to the nearest tenths, I would look at the number after 2, which is 8. If the number is 5 or higher and one to the place you need to the round. If it’s 4 or lower, just take away the numbers after the place you need to round, so it would be 5.3. However, if it was 5.23 and I wanted to round it to the tenths, I would just take away the three, making it 5.2
7 0
3 years ago
Can someone please help me on this geometry test, serious inquiries only, be a real one
saveliy_v [14]
I took geometry a while ago, I can help if you want.
5 0
2 years ago
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