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aleksklad [387]
3 years ago
15

Use the set of clues in the equations below to find the value of each variable .

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
There are many ways to solve this problem. All you have to do is simple algebraic manipulation. Solve for b and h with the two simpler equations:
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)

Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3

Finally plug it into the equation for h:
h = 2+3 = 5
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Step-by-step explanation:

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7 0
3 years ago
Which of the following measures cannot be determined from a box plot?
ad-work [718]
<h3>3 Answers:</h3>
  • B) Mean
  • C) Mean absolute deviation
  • E) Mode

==========================================================  

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.

--------

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

--------

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.

7 0
2 years ago
Find the length of a diagonal<br> of a square with sides of 14<br> feet long.<br> [?][feet<br> /
inessss [21]

Answer:

14√2 feet

Step-by-step explanation:

The length of a diagonal of a square is L=S\sqrt{2} where S is the side length of the square. Therefore, L=14\sqrt{2}.

4 0
2 years ago
Parallelogram R S T U is shown. Angle S is 70 degrees.
olya-2409 [2.1K]

Answer:

<h3>B. m∠R = 110°, m∠T = 110°, m∠U = 70°</h3>

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

4 0
2 years ago
Read 2 more answers
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