The cost of 12 oranges and 7 apples is 5.36.eight oranges and 5 apples cost 3.68.find the cost of each

Each orange costs 0.26 and each apple costs 0.32.

Step-by-step explanation:

12 oranges and 7 apples cost 5.36.

And the cost is 3.68 for 8 oranges and 5 apples.

If each orange costs x and each apple cost y then we have the equations  

12x + 7y = 5.36 (1) and  

8x + 5y = 3.68 (2)

Now, solving equations (1) and (2) we get,

15y - 14y = 3.68 × 3 - 5.36 × 2  

⇒ y = 0.32  

Now, from equation (2), we get 8x + 5 × 0.32 = 3.68

⇒ 8x = 2.08

⇒ x = 0.26

Therefore, each orange costs 0.26 and each apple costs 0.32. (Answer)

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°