Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse. 
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C

Using a calculator x would be about 8.4
Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.




Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
Answer:
7(−x−1)(x−3)
Step-by-step explanation:
Answer:#1
if corresponding angles are congruent
#2
if alternate interior angles are congruent
#3
if consecutive, or same side, interior angles are supplementary
#4
if two lines are parallel to the same line
#5
if two lines are perpendicular to the same line
#6
if alternate exterior angles are congruent