Miguel valdez sells appliances. he is paid an 8 percent commission on the first $2000 worth of sales, 10 percent on the next $2500, and 15 percent on all sales over $4500. what is his commission on $4910 worth of sales?

We are given that the total sales is $4910, therefore the total commission is:

a. $2000 * 0.08 = $160

b. $2500 * 0.10 = $250

c. ($4910 - $4500) * 0.15 = $61.5

Total commission = a + b + c

= $160 + $250 + $61.5

= $471.5

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°