Since the triangles are similar the ratios of the lengths of corresponding sides are equal.
tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4
Assuming you want to find x?
You know that the angles at C and B have to be the same (6x) because it’s an isosceles triangle (as indicated by the lines going through AC and AB), and angles in a triangle add to 180*
So 3x + 6x + 6x = 180*
15x = 180*
x = 180*/15
x = 12*
Answer: There are 249 times Jamie takes a counter from the bag.
Explanation:
Since we have given that
Ratio of colour of red to blue to green is 1:3:7.
Number of blue counters = 68
Let the total number of times Jamie does from the bag be x.
So, According to question,

Hence, there are 249 times Jamie takes a counter from the bag.
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = 

d = 1000√3
d = 1732.05
d ≈ 1732 ft
Answer:
Mean = 75
Median = 73.5
Mode = 95
Range = 36
Step-by-step explanation:
Given:
Sort:
To find:
Mean:

Sum of all data divides by amount.

Therefore, mean = 75
Median:
If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

From 59,60,70,77,89,95, since 70 and 77 are in middle:

Therefore, median = 73.5
Mode:
The highest value or/and the highest amount of data. Mode can have more than one.
From sorted data, there are no repetitive data nor same data. Consider the highest value:
Therefore, mode = 95
Range:
or highest value - lowest value
Thus:

Therefore, range = 36