At a seaside drinks stall you can buy cans of cola and cans of orange drink. Five cans of cola and one can of orange cost 2.07 pound. Two cans of cola and three cans of orange cost 1.66 pound.

A cola cost 0.35, a can of orange cost 0.32

Step-by-step explanation:

The information given in the question can be written as an equation as:

Let cola be represented by x

Let orange be represented by y

5x + 1y = 2.07 i

2x + 3y = 1.66 ii

Multiply equation I by 3

Multiply equation ii by 1

15x + 3y = 6.21 iii

2x + 3y = 1.66 iv

Subtract iv from iii

13x = 4.55

x = 4.55/13

x = 0.35

Since 5x + 1y = 2.07

5(0.35) + y = 2.07

1.75 + y = 2.07

y = 2.07 - 1.75

y = 0.32

A cola cost 0.35, a can of orange cost 0.32

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step-by-step explanation:

de77737dd

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°