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aleksandr82 [10.1K]
1 year ago
12

22. Find the missing terms indicated by variables in the arithmetic sequence shown.

Mathematics
1 answer:
yuradex [85]1 year ago
6 0

The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>

<h3>The nth term of an arithmetic progression</h3>

The nth term of an arithmetic progression is expressed according to the equation;

Tn = a + (n-1)d

where

a is the first term

n is the number of terms

d is the common difference

Determine the common difference

d = 42-b = b - 30

-b-b = -30-42

-2b = -72

b = 36

d = 36-30

d = 6

For the first term;

d = 30 - a

6 = 30 - a

a = 24

For the value of c

c = 42 + 6

c = 48

For the value of d

d = 48 + 6

d = 54

For the value of e

e = 54 + 6

e = 60

Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>

Learn more on arithmetic sequence here: brainly.com/question/24989563

#SPJ1

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sergey [27]
|x| - 5 < -13
|x| < -13 + 5
|x| < -8

No solution.
6 0
3 years ago
What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

  • Both pairs of opposite sides are parallel
  • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
  • Diagonals bisect each other
  • One angle is supplementary to both consecutive angles (same-side interior)
  • One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

#SPJ1

7 0
2 years ago
Solve 5/8-17/8 and show work
prisoha [69]

5/8 - 17/8

combine : 5-17 / 8

subtract : 5 - 7 = -12

-12/8

apply fraction rule ( -a/b = - a/b) : - 12/8

cancel common factor 4

answer : - 3/2

I hope this helped

4 0
3 years ago
Triangle ABC is such that AB = 3cm , BC = 4cm , angle ABC = 120 and BAC = theta : Write down in terms of theta , and expression
lakkis [162]
1)inside the triangule is 180º .There are 3 angules, one with 120º, theta and
angle ACB, lets call it x.

x + theta + 120 = 180
x + theta= 180-120
x + theta= 60
x= 60- theta
angle ACB= 60- theta
8 0
3 years ago
A company has two manufacturing plants with daily production levels of 5x+11 items and 2x-3 ​items, respectively. The first plan
Elan Coil [88]

Answer:

alr 5x+11 and 2x-3

5x+11=16x

2x-3=-1x

Step-by-step explanation:

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ff

f

f

g

g

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t

t

t

t

t

y

y

y

y

4 0
2 years ago
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