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Anastasy [175]
2 years ago
15

#1: Find the value of X. (GEOMETRY)

Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

  • This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.

2. (Solving)

Step 1: Combine like terms.

  • (7x+5x+2x)+(-11-2-3)=180
  • 14x -16 = 180

Step 2: Add 16 to both sides.

  • 14x - 16 + 16 = 180 + 16
  • 14x = 196

Step 3: Divide both sides by 14.

  • \frac{14x}{14}=\frac{196}{14}
  • x = 14

Step 2: Check if solution is correct.

  • 7(14)-11+5(14)-2+2(14)-3=180
  • 98-11+70-2+28-3=180
  • 180=180

Therefore, the answer is x = 14.

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julsineya [31]

1.\sqrt{11} is less than 3.5

2. \sqrt{5} is more than 2.1

3. -5.3 is more than -5 \frac{3}{5}

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7 0
3 years ago
Please help me!!!You will get 20 points...
pashok25 [27]

Use the rule of 3, note that we will convert the hours to minutes:

60 - 84
75 - x

(75 * 84) / 60 = x
6,300 / 60 = x
105 = x

105 minutes = 1h 45m


Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of
ValentinkaMS [17]
The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal:  95%=95/100 = 0.95
Subtract from 1:  1-0.95 = 0.05
Divide by 2:  0.05/2 = 0.025
Subtract from 1:  1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify 
\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677

Next we find
(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448

Next we find 
\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}
\\
\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}
\\
\\=831.479

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
3448\pm1629.70
\\
\\=(3448-1629.70, 3448+1629.70)
\\
\\=(1818.30, 5077.70)
5 0
3 years ago
What is the quotient matches 22/33 divided by 6/9
olchik [2.2K]

Hey there! I'm happy to help!

When you divide fractions, you are technically multiplying by the reciprocal, which is the numerator and denominator flipped. This means that 22/33 divided by 6/9 is equal to 22/33 multiplied by 9/6.

If we multiply these together, we get an answer of 1.

I hope that this helps! Have a wonderful day!

8 0
3 years ago
At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at t
Flauer [41]

The ratio of the number of female attendants to the number of male attendants is 21/17

<h3>Ratio</h3>

  • Amount donated by female attendant = $1200
  • Amount donated by male attendant = $800
  • Average donation = $900

let

  • number of female attendant = x
  • number of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

Learn more about ratio:

brainly.com/question/2784798

#SPJ1

3 0
2 years ago
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