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CaHeK987 [17]
3 years ago
5

Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles

.

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

Step-by-step explanation:

Consider the provided information.

Consider the figure 1:

We need to give an example of a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.

Alternate interior angles: If a transversal cuts two parallel line then pair of angles on the inner side of lines but on opposite sides of the transversal are know as the alternate interior angle:

For example: ∠3 and ∠6 are alternate interior angle another pair are ∠4 and ∠5.

Corresponding angles:  If a transversal cuts two parallel line then the angles in same corner are called corresponding angles.

For example: ∠1 and ∠5 are corresponding angle another pair are ∠4 and ∠8.

Alternate exterior angles: If a transversal cuts two parallel line then the pair of angles on the outer side of lines but on opposite sides of the transversal are known as the alternate exterior angles.

For example: ∠1 and ∠8 are alternate exterior angle another pair are ∠2 and ∠7.

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Use the following data set to complete the problems.
Yuri [45]

Answer:

The interval 44-47 has a frequency of 3 .

The interval 48-51 has a frequency of 4.

The interval 56-59 has a frequency of 1.

The given data set is:

42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59

The number lying in the interval 44-47 are :46, 47, 47

So the interval 44-47 has a frequency of 3.

The number lying in the interval 48-51 are :48, 49, 50, 51

So, the interval 48-51 has a frequency of 4.

The number lying in the interval 56-59 is: 59

So, the interval 56-59 has a frequency of 1.

Step-by-step explanation:

7 0
2 years ago
Please help I’ll give you guys brainiest!<br><br><br> Thank youuuuuuu :))
mariarad [96]

Hi there!

\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}

We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }

Plug in points from the line:

m = \frac{0- 3 } { 3 - 0} = -1

We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:

y ≥ -x + 3

The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:

m = \frac{1-(-3)}{2-0}  = 4/2 = 2

The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.

Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:

y > 2x - 3

6 0
3 years ago
Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing deci
zimovet [89]

Answer: 271

Step-by-step explanation:

As per given description in the question, we have

Critical value for 90% confidence interval = z_{\alpha/2}=1.645

[using z-value calculator ]

Margin of error : E= 0.05

Since prior estimate of population proportion is unknown so we take p= 0.5

Formula we use to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2  [we assume p= 0.50]

i.e. n=0.5(1-0.5)(\dfrac{1.645}{0.05})^2

Simplify :

\Rightarrow\ n=270.6025\approx271  

Therefore , the minimum sample size required = 271

3 0
3 years ago
What is the 32nd term of the arithmetic sequence where a1 = –33 and a9 = –121?
Aleksandr-060686 [28]
a_1=-33;\ a_9=-121\\\\a_9-a_1=8d\\\\8d=-121-(-33)\\8d=-121+33\\8d=-88\ \ \ \ |divide\ both\ sides\ by\ 8\\d=-11\\\\a_{32}=a_1+31d\\\\a_{32}=-33+31\cdot(-11)=-33-341=-374\\\\Answer:\boxed{a_{32}=-374}
8 0
3 years ago
Read 2 more answers
Pls help answer. Brainliest to the first right answer
zavuch27 [327]

Answer

Is there any numbers or is it just like that?

8 0
3 years ago
Read 2 more answers
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