Answer:
a=8
b=17
Step-by-step explanation:
Isoceles means we will have 2 congruent sides in this triangle.
So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well
So we have the sum of the 3 sides is the perimeter.
That means we have the equation:
(ax+9)+(ax+9)+(4x+b)=20x+35
Combine like terms:
(a+a+4)x+(9+9+b)=20x+35
(2a+4)x+(18+b)=20x+35
This implies 2a+4=20 and 18+b=35.
2a+4=20
Subtract 4 on both sides:
2a=16
Divide both sides by 2:
a=8
18+b=35
Subtract 18 on both sides:
b=17
So a=8 and b=17.
The expression of the problem is, 8x.
where "x" stands for the number of dogs. so you would then substitute x with 12. Then you would solve the problem to get your answer.(8•12)
- 51cm^2
- 27cm^2
- 78cm^2
to find the area of compound shapes, you break them apart and find each shapes area then add it together.
to find the area of a square, use A=l * w
to find the area of a triangle, use, A= 1/2 b * h
<h3>3
Answers:</h3>
- B) Mean
- C) Mean absolute deviation
- E) Mode
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Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
- Minimum
- Q1 = first quartile
- Median (sometimes referred to as Q2 or second quartile)
- Q3 = third quartile
- Maximum
This list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
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Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
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So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.