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Gennadij [26K]
3 years ago
7

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+ g)(x).

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

the answer is B

Step-by-step explanation:

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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
Find the slope and the y-intercept of the line <br> Y=-5/4x+8
insens350 [35]

Explanation: This is a linear equation because it's written in slope-intercept form or <em>y = mx + b</em> where the multiplier or the coefficient of the x-term represents the slope of the line and the<em> b</em> represents the constant term.

So the slope will be the coefficient of the <em>x-term</em> which means the number that is in front of the <em>x</em> which in this case is -5/4.

The y-intercept is the constant term which is +8

7 0
3 years ago
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Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
A packet of 33 Marbles needs to be split between Gavin and Howard in the ratio of 5:6. How many marbles will each boy get. ​
Eduardwww [97]

Answer:

15 and 18

Step-by-step explanation:

33 split into groups of 5 and 6

8 0
2 years ago
. What's the common difference of the sequence 0, 5, 10, 15, 20, . . . ?
vichka [17]

Answer:

D. d = 5

Step-by-step explanation:

d = d² - d¹

= 5 - 0

= 5

d = d³ - d⁴

= 10 - 5

= 5

d = dⁿ - dⁿ-¹

6 0
2 years ago
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