At the city newsstand, Sunday papers are 10% off after 5:00 PM. Mr. Johnson pays $3.60 for a paper after 5:00 PM. He wants to know the regular price.

Step-by-step explanation:

you know that the sales price is $3.60 and the discount is 10% so

? out of 100% which is the regular price

$3.60 out of 905 which is the sales price

3.6 = 0.9r

3.6 divided by 0.9 = 0.9r divided by 0.9

= 4

this means that the discount is $0.40

the regular price of the paper is $4.

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°