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2 years ago

Segment VY is a midsegment of trapezoid FEDC. Find x.

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = $\frac{EF+CD}{2}$ , then

3x + 18 = $\frac{1}{2}$ (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

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About 1313% of the population of a large country is hopelessly romantichopelessly romantic. If two people are randomly selecte

aleksandr82 [10.1K]

Answer:

Probability both are hopelessly romantic = 0.0169

Probability at least one is hopelessly romantic = 0.2431

Step-by-step explanation:

We are given that about 1313% of the population of a large country is hopelessly romantic.

Also, given two people are randomly selected.

Firstly, Let Probability that the population of a large country is hopelessly romantic = P(R) = 0.13

(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic $\times$ Probability that second person is hopelessly romantic

= $P(R) \times P(R)$

= 0.13 $\times$ 0.13 = 0.0169

(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.

So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic

= $1 - (P(R') \times P(R'))$

= 1 - (0.87 $\times$ 0.87)

= 1 - 0.7569 = 0.2431

5 0

3 years ago

Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Beth can read 3 pa

Mama L [17]

Answer:

3x + 16 = 2x + 26

-2x -2x

x + 16 = 26

- 16 - 16

x = 10 min

3(10) + 16

2(10) + 26

Both read 46

4 0

3 years ago

I need help solving this problem |5x - 1| < 1

VashaNatasha [74]

Imagine what the graph would look like. Does it open upwards or downwards?

5x - 1 has a positive slope of 5 and it is reflected horizontally. The graph would be shaped like a V. A limited segment, or none, of the graph is below a certain value of y, and the rest outside it is above.

Hence, the solution must be a < x < b.

|5x - 1| < 1

5x - 1 < 1

x < 2/5

|5x - 1| < 1

5x - 1 > -1

x > 0

0 < x < 2/5

4 0

3 years ago

Question is in picture pls ASAP its due by 8 its 6 will give you brainliest :)))))))

shtirl [24]

Answer: 100 rides are needed to break even.

Step-by-step explanation:

C(x)=15x+2000 - x is the number of rides.

R(x)=35 x , where x is the number of rides

35x=15x+2000

35-15x=2000~subtract 15x from both sides~

20x=2000 ~simplify~

x=2000/20 ~dividing both sides by 20~

x=100

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3 years ago

Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he bi

marysya [2.9K]

Answer:

$25.40

Step-by-step explanation:

Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40

8 0

2 years ago