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m_a_m_a [10]
3 years ago
12

Find the value of x.

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

\large \mathfrak{Solution : }

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

  • (x + 90)\degree = 4x\degree

  • (4x - x) \degree= 90\degree

  • 3x\degree = 90\degree

  • x\degree =  \dfrac{90\degree}{3\degree}

  • x\degree = 30\degree
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

     4x = x+90 ( being vertically opposite angles )

or,  4x - x = 90

or,  3x = 90

or, x = 90/3

or, x = 30

∴ x = 30

4x = 4*30 = 120

x + 90 = 30 + 90 = 120

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Two pitchers, Jerry and Louis, want to find out who has the faster pitch when compared to each of their teams. Jerry has a speed
saul85 [17]

Answer:

Louis has faster pitch when compared to each of their teams.

Step-by-step explanation:

We have two pitchers which we need to compare to each of their teams.

To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.

For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

p=\Phi(z

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

p=\Phi(z

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.

6 0
3 years ago
the walls of a square room need painting.Each of the four walls is 12 ft wide by 8.5 feet tall.One gallon of paint covers 75 ft.
Jobisdone [24]
First find the area of each wall. This is length*width which would be 12*8.5=102. There are four walls in the room because it’s a square so that would be 102*4=408. So the total area you need to paint is 408ft one gallon will cover 75ft so 408/75=5.44 gallons of paint.
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3 years ago
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Kamila [148]
The square root of negative 100 can be dissected step by step. The square root of 100 is 10 however there is no such thing as square root of something negative, thus the imaginary notion is applied. square root of -1 is equal to i .Hence the answer to this problem is 10 i.
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3 years ago
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Which of the following are accurate descriptions of the distribution below?
jekas [21]

Answer

None of the above

Step-by-step explanation:

8 0
2 years ago
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A pool has an area of 1,275 m2 and a width of 25 1/2 m. What is the length of the pool.
lisov135 [29]

Answer:

50m is the length of the pool

Step-by-step explanation:

area= length * width

length= area/ width

1275/ 25.5 = 50

5 0
3 years ago
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