Answer:
x = 60° (Alternate angles)
Step-by-step explanation:
a) x = 60°
b) Reason: Alternate angles
<span>slope
m = (1 - 1)/(0 + 2) = 0
(x1, y1) as (-2, 1)
</span><span>point-slope form</span><span>
y - y1 = m(x - x1)
y - 1 = 0(x + 2)
y - 1 = 0
y = 1</span>
Answer: 15
Step-by-step explanation:
Answer:
Option 3 (C)
Step-by-step explanation:
Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18
To find the box plot that represents the data set, we need to find:
Min, Q1, median, Q3, and Max, which are all represented on a box plot.
Min = 3
Max = 18
Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7
Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5
Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11
The box plot that closely represented all these values is the box plot in option 3.
The fraction he added is 6/30, or 1/5.
I'm not 100% sure about the equation you want me to use but I did the work this way:
5/6+x/30=31/30 (the denominator has to equal 30 because you are adding. You need a common denominator which is why you need to change 5/6. We can label the numerator as a hidden value x)
25/30+x=31/30
You can then work backwards and basically subtract 25 from 31 and get 6; so x=6