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liraira [26]
2 years ago
6

Which terms in the following expression are like terms?

Mathematics
1 answer:
Alinara [238K]2 years ago
6 0

9514 1404 393

Answer:

  (c)  5x and 3x, and 4 and 1

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

  • x^3: variable x, power 3
  • 5x: variable x, power 1
  • -3x: variable x, power 1
  • 3y: variable y, power 1
  • 4: no variable
  • -1: no variable

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

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Help me to answer this pls​
nlexa [21]

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

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

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

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

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
4 0
2 years ago
A 9 foot tall tree casts a 5 foot shadow . At the same time a house casts a 28 foot shadow. How tall is the house?
ruslelena [56]

Answer:

33

Step-by-step explanation:

it is 33 if you get it wrong than dab

3 0
2 years ago
Is 8 ,5,1 and -4 an arithmetic sequence.
kolbaska11 [484]

Answer:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

Not a Geometric or Arithmetic Sequence

5 0
3 years ago
Last year the dept of the river was 4.2 feet deep. THIS YEAR UT DROPPED 11% find the depth of the f the river this year
Romashka [77]

Answer:

new depth =

4.2/100 X 89 = 3.738 feet

4 0
3 years ago
Pogo competitors paid $9.60 for six bottles of energy drink later on they paid $17.60 for 11 bottles of energy drink how much di
snow_lady [41]
9.60 divided by 6 is 1.60
17.60 divided by 11 is 1.60
so each bottle is 1.60
8 0
3 years ago
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