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N76 [4]
3 years ago
5

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The

length of L M is 3 x minus 3 and the length of M N is x + 7.
What is the perimeter of rhombus LMNO?


20 units

24 units

40 units

48 units

Mathematics
2 answers:
Marysya12 [62]3 years ago
5 0

Answer:

48 units

Step-by-step explanation:

Otrada [13]3 years ago
4 0

Answer: 48 units

Step-by-step explanation:

In a rhombus, all the sides are equal. This is shown by equality sign on each side of the given rhombus. Therefore,

LM = MN

3x - 3 = x + 7

Subtracting x from the left hand side and the right hand side of the equation, it becomes

3x - x - 3 = x - x + 7

2x - 3 = 7

Adding 3 to the left hand side and the right hand side of the equation, it becomes

2x - 3 + 3 = 7 + 3

2x = 10

x = 10/2 = 5

Therefore, the length of each side is

3 × 5 - 3

= 15 - 3 = 12

Therefore, the perimeter of the rhombus is

12 × 4 = 48 units

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x+3y\leq 6

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3y\leq 6-x

y\leq 2-(1/3)x

The solution is the shaded area below the solid line

Is below because the symbol of the inequality is less

Is a solid line because the line is included in the solution

The equation of the solid line is y=2-(1/3)x

To graph the solution find the intercepts

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0, x=6 --------> point (6,0)

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Graph the inequality

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3 years ago
What are the next three terms in the sequence? -3, 6, 15, 24
bearhunter [10]
Its adding 9 every time.
-3, 6, 15, 24, 33, 42, 51, 60
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3 years ago
You have been asked to find the inverse of f (x) = 3+Vx - 1. What would your
Paha777 [63]

Answer:

Add 1 to both sides of the equation.

Subtract 3 from both sides of the equation.

Step-by-step explanation:

The inverse of a function refers to that function that tends to undo another function.

If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

8 0
3 years ago
Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is
zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

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5 0
3 years ago
genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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