ANSWER ALL QUESTIONS: 25 POINTS + BRAINLIEST PLEASE

Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.

A: 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?

B: A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.

A) 1 cm : 2km

1 cm : 200000 cm

Scale factor: 1 : 200000

Actual: 8×200000 = 1600000 cm

= 16km

B) first map : second map

8 cm : 6 cm

Scale factor: 4:3

4:3

3 mm : 2.25 mm (3/4 × 3 = 2.25)

4 mm : 3 mm (4/4 × 3 = 3)

5 mm : 3.75 mm (5/4 × 3 = 3.75)

answer: are you

step-by-step explanation:

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°