The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the

Question

3 months ago

9

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the

Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.

Mathematics

2 answers:

Inessa [12.5K] · Answer 1 · 2026-02-25T01:38:31+03:00

Inessa [12.5K]3 months ago

8 0

Here it is!
I hope this is useful!
XP

Leona [12.6K] · Answer 2 · 2026-02-25T01:34:30+03:00

Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction