Lets fill in what we can as we go and work our way around to find all the angles and make sure they add to the correct degree.
Lets begin with the supplementary angle next to 142 at the--bottom right and that triangle
180-142=38
180-38-49=93
w=93
Moving to the triangle above that one
vertical angles are congruent
w=93, so the angle above it is 93
180-93-42=45
Now the very bottom triangle
180-142=38
180-38-73=69
To move any further we need to find the angles of the hexagon in the center(hexagon interior angles=720)
180-93=87(93 is w)
(left of 142)180-69=111
(right of 131)180-45=135
131+135+87+142+111=606
180-606=114
z=114
Upperleft triangle
y=180-131
y=49
180-114=66(114 is z)
x=180-49-66
x=65
Bottom left triangle
180-114=66
180-111=69
180-66-69=45
Answer: z=114
Hope this helps, I know I went into unecessary detail :)
"Betsy gets her hair cut every 28 days and Mary gets hers every 35 days"
Find the least common multiple of 28 and 35.
28 = 2²×7
35 = 5×7
LCM(28, 35) = 2²×5×7
= 140
Answer: Mean get decreased and median remains same.
Step-by-step explanation:
Given: The low scores of all 4 friends are all between 90 and 100, except for Angie, whose low score is 80.
i.e. Angie is an outlier.
[An outlier is an extreme value which lies far from the other data values.]
Angie then golfs a great round and has a new low score of 75.
i.e. more lower value.
Since Mean gets effected by an outlier but median remains same.
Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.
13
step by step explanation: subtract 26 on each side and u get 13
hope this helps
