<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
It should be A if i am correct
The athlete that has the shortest training ride is athlete A.
The athlete that has the shorter range is Athlete B.
The athlete that has the greater median is Athlete B.
The athlete that has the greater IQR is athlete A.
<h3>What are the summary statistics?</h3>
A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.
Range of Athlete A = 36 - 13 = 13
Range of Athlete B = 30 - 19 = 11
Training ride of Athlete A = 16
Training ride of Athlete B = 21
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Median of Athlete A = 20
Median of Athlete B = 25
IQR of Athlete A = 30 - 16 = 14
IQR of Athlete B = 28 - 21 = 7
To learn more about box plots, please check: brainly.com/question/27215146
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The correct option is B which is the value of PG is 3 units.
Given
The scale factor of the dilation of segment HG is 1/6.
If PG' equals 0.5 units,
<h3>What is the scale factor?</h3>
The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
The scale factor of the dilation of segment HG is 1/6.
By the rule of scale factor;
Where SF represents the scale factor.
Solving for PG, we get:
Hence, the value of PG is 3 units.
To know more about the Scale factor click the link given below.
brainly.com/question/16806865
