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musickatia [10]
3 years ago
14

Angles 4, 5, and 6 are in the ratio 2:5:3. Find the measure of each angle

Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

The angles 4, 5 and 6 are 36, 90 and 54 respectively.

Step-by-step explanation:

First, let's find the total number of parts:

2 + 5 + 3 = 10

The amount of degrees per part is 180 / 10 = 18.

Now, we multiply that factor to the ratio:

2*18 : 5*18 : 3*18//36:90:54

Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.

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Step-by-step explanation:

Please see attached picture for full solution. (model method)

S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.

Alternatively,

Let the number of sweets Sarah have be 4x.

Number of sweets Natasha have= 2x

Number of sweets Richard have= 3x

<em>Sarah gets 13 more sweets than Richard</em>

4x= 3x +13

4x -3x= 13

x= 13

Total number of sweets

= 4x +2x +3x

= 9x <em>(</em><em>simplify</em><em>)</em>

= 9(13) <em>(</em><em>subst</em><em>.</em><em> </em><em>x</em><em>=</em><em>1</em><em>3</em><em>)</em>

= 117 sweets

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