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just olya [345]
3 years ago
6

Find the unknown sizes of angles:​

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

X=92

X+Y=180

Y=180-92

Y=88

Z=Y=88

:)

vichka [17]3 years ago
6 0

Step-by-step explanation:

<u>We </u><u>have</u><u>,</u>

  • x = 92 ( vertically opposite angles)
  • 92 + y = 180 { linear pair}

<u>So </u><u>that</u><u> </u><u>,</u>

  • y = 180-92
  • y = 88°

<u>And </u><u>,</u>

  • y = z ( VOA)
  • z = 88°
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I forgot how to do this n they didn’t put an example help me lol
lyudmila [28]

Answer:

60m^2

Step-by-step explanation:

First, find the area of the square as it the missing piece wasn't missing.

    8 x 9 = 72m^2

Then, find the area of the missing section.

    3 x 4 = 12m^2

Finally, subtract 12m^2 from 72m^2 and you get 60m^2

3 0
3 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
Veseljchak [2.6K]

Answer:

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given data</em>

<em>First sample size (n₁) = 10 </em>

<em>mean of the first sample(x₁⁻) = 537</em>

<em>standard deviation of the first sample (S₁) = 22</em>

<em>second sample size (n₂) = 10 </em>

<em>mean of the second sample (x₂⁻) = 559</em>

<em>standard deviation of the second sample (S₂) = 17</em>

<u><em>Step(ii)</em></u><em>:-</em>

<u><em>Null hypothesis : H₀:</em></u><em>- The extra carbonation of cola results in a lower average compression strength</em>

<u>Alternative Hypothesis :H₁</u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em>Step(iii)</em></u><em>:-</em>

<em>By using student's t -test for difference of means</em>

<u><em>Test statistic</em></u>

<em>       </em>t = \frac{x^{-} _{1}-x^{-} _{2}  }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} }  } )}<em />

<em>  where </em>

<em>     </em>S^{2}  = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2}  }{n_{1}+n_{2} -2 }<em />

<em>    </em>S^{2}  = \frac{10(22)^{2}  + 10 (17) ^{2}  }{10+10 -2 } = \frac{ 7730}{18} = 429.4<em />

<em>    </em>t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 }  } )}<em />

<em>   t =  -2.375</em>

<em>|t| = |-2.375| = 2.375</em>

<em>Degrees of freedom</em>

<em>γ = n₁+n₂ -2 = 10+10-2 =18</em>

<em />t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009<em />

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<u><em>Final answer:-</em></u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

<em />

<em> </em>

<em />

5 0
3 years ago
#20
yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

6 0
3 years ago
Which expression is equivalent to 4h ÷ 5? A. 5h/4 B. 45/h C. 54/h D. 4h/5
sweet [91]

Answer:  D. \frac{4h}{5}


Step-by-step explanation:

1. You have the following expression given in the problem above:

4h÷5

2. By definition, two expression are equivalent when they are the same even though they they are written in a different form.

3. Keeping this on mind, you can rewrite the division of those two numbers as a fraction, as you can see below:

\frac{4h}{5}

3. Then,  \frac{4h}{5} is the equivalent expression to 4h ÷ 5.


3 0
3 years ago
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Alekssandra [29.7K]
The answer is C
I pretty sure
7 0
3 years ago
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