The washing machine had a selling price of P4,792. It had been marked up by P1,248. What was the cost? What was the mark-up rate?​

The cost of the washing machine is P 3,544

The mark-up rate is 35.21%

Step-by-step explanation:

1. We want to calculate the cost

Mathematically, this is the difference between the selling price and the mark up

We have this as;

4,792 - 1,248 = P 3,544

2. Here, we want to calculate the mark-up rate

Mathematically, this is the percentage of mark-up

That is;

mark-up/cost price * 100%

: 1,248/3,544 * 100% = 35.21%

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°