Answer:
5/8 of a mile
Step-by-step explanation:
Let the distance from Post Office to Friend's house =D
7/8 + 5/6 + D =miles - Total distance from Georgia's house to a Friend's house.
42 minutes / 18 minutes per mile =2 1/3 miles - total distance from her house to a friend's house. So, we have:
7/8 + 5/6 + D = 2 1/3, solve for D
[21 + 20] / 24 + D = 2 1/3
41/24 + D = 2 1/3 subtract 41/24 from both sides
D =2 1/3 - 41/24
D =7/3 - 41/24
D =[56 -41] / 24
D = 15 / 24
D = 5/8 of a mile - the distance between the School and her Friend's house.
Answer:
-47b + 19
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.
<u>To find x:</u>
(10x - 20) + (6x + 8) = 180
16x - 12 = 180
+12 +12
16x = 192
----- -----
16 16
x = 12
<u>Check:</u>
(10(12) - 20) + (6(12) + 8) = 180
(120 - 20) + (72 + 8) = 180
100 + 80 = 180
180 = 180
<u>Angle (10x - 20):</u>
(10(12) - 20)
(120 - 20)
100
<u>Angle (6x + 8):</u>
(6(12) + 8)
(72 + 8)
80