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kvv77 [185]
3 years ago
15

The measures of three angles in a triangle are as follows:

Mathematics
2 answers:
muminat3 years ago
6 0
Sorry I’m not sure !
Mrac [35]3 years ago
3 0

Answer:

m∠W = 55°

m∠Y = 45°

m∠Z = 80°

Step-by-step explanation:

In order to solve this problem we need to know that the sum of all angel of the triangle is 180°. Knowing this we can make an equation.

m∠W + m∠Y + m∠Z = 180°

Now we can substitute the angle values and find out what x is equal to. So we do...

(x - 15)° + (3x -165)° + 80° = 180°

x° - 15° + 3x° - 165° + 80° = 180°

4x° - 100° = 180°

4x° = 180° + 100°

4x° = 280°

x° = 70°

x = 70

Now we substitute the x and get the measurements of the angels.

m∠W = x° - 15° = 70° - 15° = 55°

m∠Y = 3x° - 165° = 210° - 165° = 45°

m∠Z = 80°

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

n=\frac{z^{2}\sigma^{2}}{e^{2}}

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, 1-\alpha=0.95 \Rightarrow \alpha=0.05.

Therefore we look for the critical value z_{\alpha/2}=1.96.

Then we calculate the variance:

\sigma = 3.7 \Rightarrow \sigma^{2}=13.69

And we have that:

e=2 \Rightarrow e^{2}=4

<u>Now</u> we replace in the formula with the values we've just obtained:

n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0
3 years ago
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Leviafan [203]
Rise over run.
The rise is 3
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3 0
3 years ago
Read 2 more answers
Blank minus 3/8 equals 3/4​
jeka57 [31]

Answer:

1 1/8

Step-by-step explanation:

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7 0
2 years ago
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If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The
stepan [7]

Answer:

D

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

A =   - \frac{ 1}{B}

B =  -  \frac{1}{A}

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0
2 years ago
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tekilochka [14]

y = sqrt(x) .... parent function

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<h3>Answer:   y = sqrt(-x+2)+3</h3>
5 0
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