8. Is line / parallel to line m? Explain. (1 point)

Kareem started a race at 3:03 PM and finished it at 3:41 PM.

Blababa [14]

Answer:

38minutes

Step-by-step explanation:

41-3=38

5 0

2 years ago

The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.

givi [52]

<h3>Answer: 6</h3>

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.

3 0

2 years ago

ABCDEFGHI is a regular 9-sided polygon.

Igoryamba

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

6 0

3 years ago

What is an equation for the linear function whose graph contains the points (-1,-2) and (3,10) enter your answers in the boxes

mr Goodwill [35]

The equation for the linear function whose graph contains the points (-1, -2) and (3, 10) is y = 3x + 1

<h3><u>Solution:</u></h3>

Given that linear function whose graph contains the points (-1, -2) and (3, 10)

We have to find the equation of line

Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function

So let us use the slope intercept form

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line containing points (-1, -2) and (3, 10)

<em><u>The slope of line is given as:</u></em>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=-1 \text { and } y_{1}=-2 \text { and } x_{2}=3 \text { and } y_{2}=10$

$m=\frac{10-(-2)}{3-(-1)}=\frac{12}{4}=3$

Thus the slope of line is "m" = 3

Substitute m = 3 and (x, y) = (-1, -2) in y = mx + c

-2 = 3(-1) + c

-2 = -3 + c

c = -2 + 3 = 1

Now substitute c = 1 and m = 3 in slope intercept form to get equation of line

y = 3x + 1

Thus the equation for the linear function is found out

6 0

4 years ago

Find the probability for the experiment of tossing a coin three times. Use the sample space S = {HHH, HHT, HTH, HTT, THH, THT, T

myrzilka [38]

Answer:

1) 0.375

2) 0.375

3) 0.5

4) 0.5

5) 0.875

6) 0.5

Step-by-step explanation:

We are given the following in the question:

Sample space, S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

1. The probability of getting exactly one tail

P(Exactly one tail)

Favorable outcomes ={HHT, HTH, THH}

$\text{P(Exactly one tail)} = \dfrac{3}{8} = 0.375$

2. The probability of getting exactly two tails

P(Exactly two tail)

Favorable outcomes ={ HTT,THT, TTH}

$\text{P(Exactly two tail)} = \dfrac{3}{8} = 0.375$

3. The probability of getting a head on the first toss

P(head on the first toss)

Favorable outcomes ={HHH, HHT, HTH, HTT}

$\text{P(head on the first toss)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5$

4. The probability of getting a tail on the last toss

P(tail on the last toss)

Favorable outcomes ={HHT,HTT,THT,TTT}

$\text{P(tail on the last toss)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5$

5. The probability of getting at least one head

P(at least one head)

Favorable outcomes ={HHH, HHT, HTH, HTT, THH, THT, TTH}

$\text{P(at least one head)} = \dfrac{7}{8} = 0.875$

6. The probability of getting at least two heads

P(Exactly one tail)

Favorable outcomes ={HHH, HHT, HTH,THH}

$\text{P(Exactly one tail)} = \dfrac{4}{8} = \dfrac{1}{2} = 0.5$

3 0

3 years ago