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3 years ago

Can someone help me with numbers 18 and 20? thank you!

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Answer:

18. x= 15

19. x = 32.5

20. 82.097

Step-by-step explanation:

because any trianglw with 65 degrees the other abgle will be equal making the side equal as well

180-115= you know

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Suppose you were looking at the histogram of the incomes of all of the households in the United States. Do you think that the hi

seraphim [82]

Answer:

The histogram is right-skewed.

Step-by-step explanation:

The income of all households in the United States can be categorized as low, medium and high.

Not many people earn a high income. So the proportions of people decreases as the income increases.

Most of the people earn a medium income. So the mode of the data would be somewhere in the start of the the distribution.

There are many households that earn a low income. But this proportion is not more than the proportion of people earning low income.

So the histogram for income distribution will have a long right tail with maximum data at the starting point.

This implies that the histogram is right-skewed.

8 0

3 years ago

Find endpoint with given endpoint and midpoint

TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

3 0

3 years ago

If number A is a 2-digit number and its digits are transposed to form number B, then the difference between the larger of the tw

galben [10]

If the original number is ab it has a value of

10a+b when it is reversed it will have a value of 10b-a

10b+a-10a-b is the differences which is equal to

9b-9a

So the numbers must be divisible by 9

8 0

3 years ago

Read 2 more answers

Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

2 years ago

Write and solve a system of equations to find the value of each variable

ozzi

Answer:

Step-by-step explanation:

2x+5y=12

3x+4y=11

---------------

3(2x+5y)=3(12)

-2(3x+4y)=-2(11)

-----------------------

6x+15y=36

-6x-8y=-22

-----------------

7y=14

y=14/7=2

2x+5(2)=12

2x+10=12

2x=12-10=2

x=2/2=1

x=1, y=2. (1, 2)

---------------------

I just provided you an example of a system of equations and I already solved it for you.

3 0

3 years ago