Answer:
Q = 146
Step-by-step explanation:
We know that angle S and T are equal because the sides are equal
The measure of the exterior angle is equal to the sum of the opposite interior angles in a triangle
Q = S+T
Q = S+S
Q = 2S
Q =2* 73
Q = 146
Both have a right angle, and both have a 61* angle, meaning the third angle has to be 29* on both (all angles in a triangle have to add up to 180 so you subtract the 90 and the 61 = 29)
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
