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3 years ago

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:

We have,

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

So that ,

y = 180-92
y = 88°

And ,

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:

60 $m^2$

Step-by-step explanation:

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

8 x 9 = 72 $m^2$

Then, find the area of the missing section.

3 x 4 = 12 $m^2$

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

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:

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

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

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

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

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

(-7/8)(-3/4) A:6/7 B:-21/32 C:21/32

Alekssandra [29.7K]

The answer is C
I pretty sure

7 0

3 years ago

Read 2 more answers

Find the unknown sizes of angles:​

Find the unknown sizes of angles: