A675-meter bike trail passes through forest and meadows . there are six legs of the trail that cut through meadows: two legs measure 24 3/4 meters, three legs measure 52.25 meters, and one leg 32 meters. the rest of the trail passes through forest. how many meters of the trail pass through the forest?

 or  

Step-by-step explanation:

Let

x -------->  meters of the trail that passes through forest

y -------->  meters of the trail that passes through meadows

we know that

------> equation A

Remember that

substitute

----> equation B

substitute equation B in equation A and solve for x

or

the answer is c. 23/3

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°