Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Step-by-step explanation:
Answer:
For question 2 (Triangle):
The triangle hThe entire triangle area = 2 * 13.125 =
26.25
Triangle perimeter both legs = 16.6 + base (7) = 23.6
For question 1 (Parallelogram):
longer congruent sides = 6-0 OR 4-(-2) = 6units
area= 3×6 = 18units^2
Answer:
disagree
Step-by-step explanation:
The interquartile range is a measure of how spread out values are in a data set.
It doesn't actually consider the values, it is found by finding the range between the Q1 / 25th percentile and the Q3 / 75th percentile --and a "range" is found by finding the difference between these two numbers (by subtracting).
So, the weather could have been something like:
79 79 79 80 81 81 83 85 96 97
79 79 79 80 81 | 81 83 85 96 97
meaning that the interquartile range is 6, but these temperatures are not low
(if you want me to explain how to find the interquartile range more thoroughly, please let me know)
