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3 years ago

Solve for the unknown values : x = _ degrees y = _ degrees

Mathematics

2 answers:

sveta [45]3 years ago

7 0

Answer:

Step-by-step explanation:

creativ13 [48]3 years ago

6 0

Given:

One interior angle is 50°.

Exterior angle is 95°.

To find:

The value of x and y.

Solution:

Exterior angle property of triangle:

The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.

⇒ 50° + y = 95°

Subtract 50° from both sides.

⇒ 50° + y - 50° = 95° - 50°

⇒ y = 45°

Sum of the adjacent angles in the straight line is 180°.

⇒ x + 95° = 180°

Subtract 95° from both sides.

⇒ x + 95° - 95° = 180° - 95°

⇒ x = 85°

The value of x is 85° and y is 45°.

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Sever21 [200]

Answer: 8

Step-by-step explanation:

PEMDAS

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2 years ago

Equation for this slope

spin [16.1K]

Answer:

m = y1 - y2/ x1 -x2

Step-by-step explanation:

Your coordinates are (4, 1) and (0, -3) so m (slope) equals 1 - (-3) over 4 - 0 = 4/4 = 1

Hope this helped!

5 0

3 years ago

What is the minimum value of F(x)= 10x^{2} -6x-3<br> 3/10 or -39/10

kolezko [41]

Answer: 3/10

Step-by-step explanation:

Take the derivative of $10x^2-6x-3$ to get $20x-6$ . Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

$20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}$

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

6 0

3 years ago

Determine mu subscript x overbarμx and sigma subscript x overbarσx from the given parameters of the population and the sample si

Alex

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\mu_{\bar X}= 32$

$\sigma_{\bar X} = \frac{77}{\sqrt{23}} =10.06$

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable who represents the variable of interest, with the following properties:

$\mu =32,\sigma =77$