Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:

1.[tex]\frac{24}{7}[/tex]
2.[tex]\frac{21}{6}[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3\frac{3}{7} \\3\frac{5}{6}[/tex]

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

Question one:

[tex]3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}[/tex]

Question two:

[tex]3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}[/tex]

Your answers are "24/7, and 21/6."

Hope this helps.

Answer:

Step 1) Rotate 90 degrees counterclockwise around the origin

Step 2) Shift 5 units down

=======================================================

Explanation:

Focus on one of the corner points of figure S.

I'll focus on (9,1)

Apply a 90 degree counterclockwise rotation on this point, and rotate it around the origin.

The rotation rule is [tex](x,y) \to (-y,x)[/tex]

This means [tex](9,1) \to (-1,9)[/tex] meaning (9,1) rotates to (-1,9)

Notice that (9,1) on figure S corresponds to (-1,4) on figure T.

This means after arriving to (-1,9), we need to somehow apply a shifting translation to get to (-1,4)

To get from (-1,9) to (-1,4) we shift the point down 5 units.

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

To recap:

If you apply that rotation and shifting rule to each of the four corner points of figure S, then you'll end up with figure T.

Figure S is known as the preimage while figure T is the image.

-1248 -1248 -. 936

- 3432

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

[tex]H_0: \mu = 28[/tex]

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

[tex]H_1: \mu > 28[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given by:

[tex]\overline{x} = 32, \mu = 28, \sigma = 5, n = 10[/tex]

Hence:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}[/tex]

[tex]z = 2.53[/tex]

Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of [tex]z^\ast = 1.645[/tex].

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check https://brainly.com/question/26454209

Answer: 5 to 8

Step-by-step explanation:

Since there are 5 grey balls and 3 white balls, you add the number of white and grey balls to get the total balls which is 8, then put the number of grey balls over the 8 which comes to [tex]\frac{5}{8}[/tex] or 5 to 8 probability of getting a grey ball.

This also does not reduce so 5 to 8 is the final answer.

Answer:

Rectangular prism X

Step-by-step explanation:

For rectangular prism X:

7*3*6=126 cm³
For rectangular prism Y:
5*2*11=110 cm³
Rectangular prism X holds more because 126 is greater than 110
Hope this helps :)

Answer:

question 1 : That symbol in question 1 represents 10 houses because 20/2 = 10 I.e it half (1/2) of the first one

question 2 : They built more than 100 houses In the following months:

January 2009

August 2009

December 2009

Answer: 2(x+6)

Step-by-step explanation:

add the numbers

10x - 8x + 2 + 10

10x - 8x + 12

combine like terms

10x - 8x + 12

2x + 12

common factors

10x - 8x + 2 + 10

the answer is

2(x+6)

Check the picture below, with that template in mind

[tex]y = \stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{4}|\stackrel{D}{-3}\qquad \begin{cases} A=2~~,~~B=1\\ \qquad \textit{shrinks by a factor of 2}\\ B=1~~,~~C=4\\ \qquad \textit{horizontal leftwards shift by }\frac{4}{1}=4\\ D=-3\\ \qquad \textit{vertical downwards shift by 3} \end{cases}[/tex]

Answer:

The answer is 3/4

Answer:

it's 3/4

Step-by-step explanation:

.075 as a fraction is 75/1000 and 75 ÷ 1000 is 0.75 and 0.75 as a fraction is 3/4

Answer:

Step-by-step explanation:

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

Divide by 6

x + 1 = 60

x = 60 - 1 = 59

Answer:

-7

Step-by-step explanation:

first multiply 3 and 4 because PEMDAS

so it now looks like

12 - 9 - x = 10

now minus 12 and 9

3 - x = 10

move x to the other side by adding x to both sides

3 = 10 + x

and move 10 to the other side by subtracting  10 to both sides

3 - 10 = x

x = -7

now check

3*4 - 9 - (-7) = 10 ?

12 - 9 + 7 = 10 ?

3 + 7 = 10 ?

10 = 10

Step-by-step explanation:

[tex]3\cdot \:4+\left(-9\right)-x=10[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]3\cdot \:4-9-x=10[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]

[tex]12-9-x=10[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:12-9=3[/tex]

[tex]-x+3=10[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]-x+3-3=10-3[/tex]

[tex]Simplify[/tex]

[tex]-x=7[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{7}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=-7[/tex]

Answer: 4.3%

Step-by-step explanation:

18^2 = 324

7 * 2 = 14

14/324 = 7/362 = 4.3%

Answer:

241 units² (nearest whole number)

Step-by-step explanation:

**Assuming the clock is a circular shape**

Area of a circle = [tex]\pi r^2[/tex]

Given:

⇒ area = [tex]\pi[/tex] × 8.75²

            = 240.5281875...

            = 241 units² (nearest whole number)

Answer:241

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Blurry picture can't give right description. :(

Answer:

Step-by-step explanation:

0     0

7

14     14

Answer:

398,000

Step-by-step explanation:

400,000-2,000=398,000

In word form the answer is three hundred ninety-eight thousand

I hope that has helped :)

Answer:

The width of the fence measures 6 feet

Step-by-step explanation:

Firstly, we assign variables.

Let the width of the fence be represented by w and the length by l

Now let’s get what the length would be. width is 2 less than half length

w = l/2 - 2

or simply l/2 = w + 2

which is same as l = 2(w + 2)

Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula

P = 2(l + w)

Now let’s insert what we have:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 44-8

6w = 36

w = 36/6

w = 6 feet

Step-by-step explanation:

Answer:

The first choice.

Step-by-step explanation:

hope this helps!

Answer:

A is the answer took test on e2020

Step-by-step explanation:

Answer:

43°

Step-by-step explanation:

supplementary angles sum to 180° , then

second angle + 137° = 180° ( subtract 137° from both sides )

second angle = 43°

Answer:

A.

Step-by-step explanation:

The graph was shifted (translated) 2 units upward.

This is because the 2 is being added onto the x. If you were to set x to 0, you result with a y of 2, making it the y-intercept.

Answer:

A

...................

Answer: C. 3 to 9

You simply add 1 to each given value (8 and 2)

The ratio 9 to 3 represents the ratio of water to salt, so 3 to 9 is the ratio of salt to water.

Edit: Realized I had the parts mixed up, but the solution has been fixed

Answer:

250 km/h

Step-by-step explanation:

5x50=250

Hope it helps!

brainliest, ty!

Answer:

Step-by-step explanation:

Directions

You cut a pizza cut into 2 equal slices and eat 1 slice, or 1/2

of the pizza. You cut another pizza of the same size cut into 4

equal slices, but you still only eat 1 slice. This time you've

eaten only 1/4 of the pizza, which is less than 1/2.

As you divide the pizza into more slices, the bottom number

(the denominator) gets bigger, but the size of each slice gets

smaller.

Drag the fractions in order from least to greatest.

1/3

1/4

1/2

1/8

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

1/3 = 0.33

1/4 = 0.25

1/2 = 0.5

1/8 = 0.125

so

1/8

1/4

1/3

1/2

Step-by-step explanation:

IN ORDER OF INCREASING ORDER OR FROM LEAST TO GREATEST =1/8, 1/4, 1/3 ,1/2

9514 1404 393

Answer:

  $8833

Step-by-step explanation:

The account balance will be given by the formula ...

  A = P(1 +rt)

where P is the amount invested, r is the annual rate, and t is the number of years.

  A =- $7300(1 +0.07·3) = $7300·1.21 = $8833

The ending balance is $8833.

Answer:

ms. perez needs to pays 60$ for the pizzas

Step-by-step explanation:

28÷8=3.5

since you can't buy extra large pizzas by halves, you need to change 3.5 into 4

4x15=60

ms. perez needs to pays 60$ for the pizzas

In Ascending order=22,39,50,61,77,88,89

The Product Rule: If there are n(A) ways to do A and n(B) ways to do B, then the number of ways to do A and B is n(A) × n(B). This is true if the number of ways of doing A and B are independent; the number of choices for doing B is the same regardless of which choice you made for A.