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Yuri [45]
3 years ago
12

Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin tak

e as a ratio.
Give your answer in its simplest form.​
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

The ratio of time taken by Henry to time taken by Gavin is 3:5

Step-by-step explanation:

Time taken by Henry for each set = 36 minutes

Time taken by Gavin for each set = 1 hour

We will convert Gavin's time into minutes.

Time taken by Gavin for each set = 60 minutes

Ratio;

Time taken by Henry : Time taken by Gavin

36:60

Dividing by 6

\frac{36}{6}:\frac{60}{6}\\6:10

Dividing by 2

\frac{6}{2}:\frac{10}{2}\\3:5

The ratio of time taken by Henry to time taken by Gavin is 3:5

Keywords: ratio, division

Learn more about ratios at:

  • brainly.com/question/10382470
  • brainly.com/question/10382722

#LearnwithBrainly

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andrew-mc [135]

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

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Answer:

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