Help me with question 4 please

7 answers
Question:

Help me with question 4 please

[tex]Help me with question 4 please[/tex]


Answers

   4)  c = 38

   5)  x = 50

Step-by-step explanation:

4) The marked angles are a "linear pair", meaning their total is 180°:

  3c° +(2c -10)° = 180°

  5c = 190 . . . . . . . divide by °, add 10, collect terms

  c = 38 . . . . . . . . . divide by 5

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5) The interior angle at C brings the total of the marked angle and the interior angle to 360°

  330° + (interior angle) = 360°

  (interior angle) = 30° . . . . . . . . . subtract 330°

The interior angles of the triangle total 180°, so we have ...

  x° +2x° +30° = 180°

  3x = 150 . . . . . . . . . . . . . divide by °, subtract 30

  x = 50 . . . . . . . . . divide by 3

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Step-by-step explanation:

C = 38, x = 50

Step-by-step explanation:

4. All the angles must be equal to 180.

Hence.

3c + 2c - 10 =180

5c - 10= 180

5c = 190

C = 38

5. First solve for angle c = 360- 330 = 30

The internal angles of a triangle is 180.

Hence.

x + 2x + 30 = 180

3x = 150

x = 50

correct

Step-by-step explanation:

For #4 - c=38

38x3=114 and 38x2-10=66. 114+66=180

For #5 - x=50

180=30+3x

(subtract 30 from both)

150=3x

(divide by 3)

50=x

The answer for number 4 is 40:1

Step-by-step explanation:

The answer is 40:1 because we have to change values to whole numbers.

Convert the whole number 20 to a fraction with 1 in the denominator.

When we do that, we should then have:

20 : 1/2 = 20/1 : 1/2

We also have to convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator  

LCD(20/1, 1/2) = 2

We now have:

20 : 1/2 = 40/2 : 1/2

Our two fractions now have common denominators so we can multiply both by 2 to eliminate the denominators.

We then have:

20 : 1/2 = 40 : 1

Try to reduce the ratio further with the greatest common factor (GCF).  

The GCF of 40 and 1 is 1

Divide both terms by the GCF, 1:

40 ÷ 1 = 40

1 ÷ 1 = 1  

The ratio 40 : 1 cannot be reduced further by dividing both terms by the GCF = 1 :  

Therefore:

20 : 1/2 = 40 : 1 is the answer.

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