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3 years ago

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Quadrilateral LMNO has diagonals that intersect at point P. If LP=NP, MP = y + 25, and OP = 5y + 29, find the length of MO such

that LMNO is a parallelogram.. . A.24. B.48. C.61. D.122

2 answers:

salantis [7]3 years ago

8 0

The right answer will be c.61 that is your answer

Zina [86]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

Given information: LMNO is a parallelogram, LMNO has diagonals that intersect at point P, LP=NP, MP = y + 25, and OP = 5y + 29.

Diagonals of parallelogram bisects each other.

Since P is the intersection point of diagonal and MO is a diagonal, so

$MP=OP$

$y+25=5y+29$

Subtract y from both the sides.

$y+25-y=5y+29-y$

$25=4y+29$

Subtract 29 from both the sides.

$25-29=4y+29-29$

$-4=4y$

Divide both sides by 4.

$-1=y$

The value of y is -1.

The length of MO is

$MO=MP+OP$

$MO=y+25+5y+29$

$MO=6y+54$

Substitute y=-1 in the above equation.

$MO=6(-1)+54$

$MO=-6+54$

$MO=48$

The length of MO is 48. Therefore the correct option is B.

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4vir4ik [10]

Answer:

1) £2 = €2.32

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3) (0, 0)

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Step-by-step explanation:

1) The given conversion factors is £1 = €1.16

Therefore;

£2 = 2 × €1.16 = €2.32

£2 = €2.32

£5 = 5 × €1.16 = €5.80

£5 = €5.80

£50 = 50 × €1.16 = €58

£50 = €58

2) The shape of the plot of the directly proportional currencies graph will be a straight line

3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)

4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £

4 0

2 years ago

Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?

Andrej [43]

I am going to build a chart this is best when using ratios

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7 4
*? *? *?
Totals 121

The way we fill out this chart is that we add the rows and multiply the columns.

So we add 7 + 4 and fill it in our chart we get 11

  seniors junior total
7 4 11
*? *? *?
Totals 121

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this
seniors junior total
7 4 11
11 11 11
Totals 121

Now we multiply each column

so
7 * 11 = 77
4*11 = 44

now our chart look like this

seniors junior total
7 4 11
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so seniors get 77 spaces
and juniors get 44 spaces.

6 0

3 years ago

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

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Answer:

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Step-by-step explanation:

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ohaa [14]

Answer:

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