Jon makes a map of his neighborhood for a presentation. the scale of his map is 1 inch: 125 feet. how many feet do 4 inches

represent on the map? answer-500 feet ( i just need on the problem below)

from the problem above jon lives 250 feet away from max. how many inches separate jon’s home from max’s on the map? show your work.

Part A)

Part B)

Step-by-step explanation:

we know that

The scale of the map is

That means

1 in on the map represent 125 ft in the real

Part A) How many feet do 4 inches

using proportion

Part B) Jon lives 250 feet away from Max. How many inches separate Jon’s home from Max’s on the map?

using proportion

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°