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levacccp [35]
3 years ago
8

In the figure below , m

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

∠1 = 52

∠2 = 128

∠4 = 128

Step-by-step explanation:

∠3 and ∠1 are vertical angles

As we now vertical angles are congruent

So if ∠3 = 52°, then ∠1 also equals 52°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠3 + ∠4 = 180

If ∠3 = 52°

Then 52 + ∠4 = 180

180 - 52 = 128

Hence, ∠4 = 128

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

So if ∠4 = 128 then ∠2 also equals 128

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What is x squared minus 18x equal to negative 32
lisabon 2012 [21]

Answer:

x=16

x=2

Step-by-step explanation:

x^2-18x=-32\\x^2-18x+32=0\\(x-16)(x-2)=0\\\\x-16=0\\x=16\\\\x-2=0\\x=2

8 0
2 years ago
Given sinx= −3/5 when 3π/2 < x < 2π, find tan x/2
GarryVolchara [31]

Answer:

B -⅓

Step-by-step explanation:

sinx = -3/5

Adjacent² = 5² - 3² = 16

Adjacent = 4

tan(x) = -3/4

-¾ = 2tan(½x)/[1 - tan²(½x)]

-3 + 3tan²(½x) = 8tan(½x)

3tan²(½x) - 8tan(½x) - 3 = 0

tan(½x) = 3, -⅓

5 0
3 years ago
Read 2 more answers
Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
1/2x-5=10-3/4x please helpppppp
GarryVolchara [31]

Answer:

x=12

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x ---> move like terms to the same side

1/2x + 3/4x = 10 + 5 ---> calculate

5/4x = 15 ---> multiply both sides by 4/5

x = 12

8 0
2 years ago
Simplify\:\frac{\sqrt{5}}{\sqrt{3}}
avanturin [10]

\dfrac{\sqrt 5}{\sqrt 3} =\sqrt{\dfrac 53} \approx 1.291

7 0
2 years ago
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