All categories

3 years ago

Why 28, 60 and 120. tell me each step please?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

Step-by-step explanation:

Alright, so over here, the triangle is called an exterior angle. When there is a line outside the triangle.

And the line outside the triangle means that the line outside is equal to the 2 other angles.

So in this case, it would be 100 = 72 + x.

Now let's do 100 - 72 to get the missing x.

100 - 72 is 28, right?

So our answer is 28.

Now the next one.

Regular hexagons interior angle sum using the formula (n-2) × 180 = (6-2)×180 = 4 × 180° = 720°

every interior angle then would be 720/6 = 120°

Now exterior angles are always 360°

so all angles = 360/6 = 60º.

DanielleElmas [232]3 years ago

5 0

Answer:

down here

Step-by-step explanation:

Exterior angles is the sum of the two opposite angles

so 100 - 72° = x

x = 28°

thats how you get 28°

720° is the sum of angles in a regular hexagon

720 / 6 = 120°

So the interior is 120°

To find the exterior angle, simply subtract the interior degree from 180.

external degree = 180 - 120 = 60

The exterior angle of a regular hexagon is 60 degrees.

You might be interested in

Can someone help me with this? Thanks.

marin [14]

Answer:

7.38461538462

Step-by-step explanation:

1/2x6/5=3.25

24/3.25=7.38461538462

7 0

1 year ago

Read 2 more answers

Answers plzzzzz I need then now

astra-53 [7]

210 is the answer for #7

5 0

3 years ago

The bake sale earned $83.48 during the 4 hours it was open. What is the unit rate?

shepuryov [24]

The answer is 20.87 when you divide it .

5 0

3 years ago

Read 2 more answers

A random sample of 16 men have a mean height of 67.5 inches and a standard deviation of 2.22.2 inches. Construct a 99% confiden

saw5 [17]

Answer: $\approx1.49$

Step-by-step explanation:

We know that the confidence interval for population standard deviation is given by :-

$\sqrt{\dfrac{(n-1)s^2}{\chi^2_{\alpha/2}}}$

, where n= sample size

s = sample standard deviation.

$\chi^2_{\alpha/2}$ and $\chi^2_{1-\alpha/2}$ = Chi-square critical value for degree of freedom (n-1) and significance level ( $\alpha$ ).

Given : $\alpha=1-0.99=0.01$

n= 16

Critical ch-square values for degree of freedom 15 and $\alpha=0.01$ will be :

$\chi_{\alpha/2}=\chi_{0.005}=32.80132$

$\chi_{1-\alpha/2}=\chi_{0.995}=4.6009$

Then , the required 99% confidence interval for the population standard deviation will be :

$\sqrt{\dfrac{(15)(2.2)^2}{32.80132}}$

$\sqrt{2.21332556129}$

$1.48772496157$

$\approx1.49$

Hence, the a 99% confidence interval for the population standard deviation :

4 0

3 years ago

This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.

Elina [12.6K]

Answer:

The total points by Washington High School = 162 points

The total points by Johnson High School = 159 points

The total points by Roosevelt High School = 108 points

The total points by Lewis High School = 196 points

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places = 10 x ( 10) = 100 points

6 second places = 6 x ( 8) = 48 points

2 first places = 2 x ( 7) = 14 points

So, the total points by Washington High School = Sum of all points

= 100 + 48 + 14 = 162 points .............. (1)

About Johnson High School

8 first places = 8 x ( 10) = 80 points

9 second places = 9 x ( 8) = 72 points

1 first places = 1 x ( 7) = 7 points

So, the total points by Johnson High School = Sum of all points

= 80 + 72 + 7 = 159 points .............. (2)

About Roosevelt High School

4 first places = 4 x ( 10) = 40 points

5 second places = 5 x ( 8) = 40 points

4 first places = 4 x ( 7) = 28 points

So, the total points by Roosevelt High School = Sum of all points

= 40 + 40 + 28 = 108 points .............. (3)

About Lewis High School

3 first places = 3 x ( 10) = 30 points

3 second places = 3 x ( 8) = 24 points

6 first places = 6 x ( 7) = 42 points

So, the total points by Lewis High School = Sum of all points

= 30 + 42 + 24 = 96 points .............. (4)

Now, comparing all four equation, we get that:

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points = 162 - 159 = 2 points

6 0

3 years ago