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Sindrei [870]
3 years ago
10

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN= x and MP= 2x -8

Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

<h2>x = 8 (Verified) ✅</h2>

Step-by-step explanation:

If we visualize the figure, we can see that sides LN and MP are going to be parallel and of the same length.

So x = 2x - 8

Subtract x

0 = x - 8

x = 8

Check the answer

8 = 2(8) - 8

8 = 16 - 8

8 = 8 ✅

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Given the first type of plot indicated in each pair: which of the second plots could not always be generated from it? a. dot plo
Elenna [48]

Answer:

C

Step-by-step explanation:

Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

1. minimum

2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.

3 0
3 years ago
What is the slope of the line with an equation of 5x - 3y = -12
Hoochie [10]

Answer: m=\frac{5}{3} =1.67

Step-by-step explanation:

  1. Original equation:  5x-3y=-12
  2. Subtract 5x from both sides of the equation: -3y=-5x-12
  3. Divide both sides of the equation by -1: 3y=5x+12
  4. Divide both sides of the equation by 3 to get y on the left, leaving the equation in y=mx+b form: y=\frac{5}{3}x+4
  5. Evaluate. Slope is equal to m in this form, so the slope is m=\frac{5}{3}.

Hope this helps!

5 0
3 years ago
1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a tota
Fantom [35]

Answer:

1. 2x + 3y = 240 AND x + y = 100

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

x + y = 100 (2)

x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)

6 0
3 years ago
The length of each of the legs of an isosceles triangle is 3ft less than twice the length of the base. The perimeter of the tria
Marrrta [24]

The base is 11 ft and the legs are both 19ft.

x+2x-36+2x-36=588

Addition Property of Equality

x+2x+2x=660

Combine Like Terms

5x=660

Division Property of Equality

x=132in

2(132)-36=228in

132in÷12=11ft

228in÷12=19ft

6 0
3 years ago
Brainliest for correct answers
larisa [96]

Answer:

there positive

Step-by-step explanation:

6 0
3 years ago
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