∠DOC is the average of the given angle values,
(170° +44°)/2 = 107°
∠DOB is the supplement to that,
180° -107° = 73°
The appropriate choice is
B) 73°
Answer:
8. (0,-2)
9. (-2,1)
Step-by-step explanation:
Lucy's house is at (1,1)
Down means in the y coordinate , left means negative x
Down 3 means subtract 3 from y
left 1 means subtract 3 from x
(1-1, 1-3)
(0,-2)
9. Lucy is at (1,1)
3 units to the left
left means subtract 3 from x
(1-3, 1)
(-2,1)
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Answer:the z score is - 1
Step-by-step explanation:
Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = delivery times
u = mean delivery time
s = standard deviation
From the information given,
u = 25 minutes
s = 2 minutes
We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes
z = (23 - 25)/2 = - 1
I think the coefficient is the 12, before the variable
