Two angles are supplementary.The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle
1 answer:
<h2>The smaller angle = 15° and The larger angle = 165° </h2>
Step-by-step explanation:
Let the smaller angle = x and
The larger angle = 10x + 15°
To find, the measure of each angle = ?
We know that,
The sum of two supplementary anges = 180°
∴ x + (10x + 15°) = 180°
⇒ x + 10x + 15° = 180°
⇒ 11x = 180° - 15°
⇒ 11x = 165°
Dividing both sides by 11, we get
⇒ x = 15°
∴ The smaller angle = 15° and
The larger angle = 10(15° ) + 15° = 165°
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Answer:
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Step-by-step explanation:
A.)
Differentiating based on the shape of the box and whisker plot.
The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.
The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.
B.)
As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.
For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.
C)
The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.
