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Rasek [7]
3 years ago
11

In rectangle KLMN, KM =6x +16 and LN =49. Find the value of X

Mathematics
2 answers:
wolverine [178]3 years ago
7 0
The answer is 5.5

In a rectangle, lengths of diagonals are equal. If you draw the rectangle, you can see that KM and LN are diagonals, so they must be equal:
KM = LN

KM = 6x + 16
LN = 49

6x + 16 = 49
6x = 49 - 16
6x = 33
x = 33/6
x = 5.5
kumpel [21]3 years ago
7 0

Answer:

5.5 is your best answer took the test and get it right

Step-by-step explanation:


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Find "both" answers
Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

  • (2, 10)
  • (3, 13)

Slope = m = y₂-y₁ / x₂-x₁

                 = (13-10) / (3-2)

                 = 3 / 1

                 = 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

                                                                         = 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

  • Slope =  3
  • The common difference between consecutive terms of the arithmetic sequence = 3
  • The difference between the terms a₂ and a₄ = 6
  • The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0
2 years ago
Find ST if S(-3, 10) and T(-2, 3)
FrozenT [24]

We have the following points and their coordinates:

\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}

We must compute the distance ST between them.

The distance ST between the two points is given by:

ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}

Answer: ST = √50

3 0
10 months ago
A number cube is rolled 24 times and the results are recorded as follows: 2 ones, 4 twos, 7 threes, 4 fours, 3 fives, and 4 sixe
aksik [14]

I would say the answer would be 29.17% because \frac{7}{24}=29.17%

Hope this helps

I'm so sorry if this is wrong

have a great day/night

4 0
2 years ago
I need the answer quick pls I have a test
miss Akunina [59]

.........................

5 0
2 years ago
Read 2 more answers
Write algebraically:seven times the sum of a number and three is at most 23??<br>​
Lena [83]

Answer:

7 * x + 3 < 23

Step-by-step explanation:

blah blah blah blah blah

5 0
2 years ago
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