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3 years ago

What is the sum of 6 of the interior angles of a regular octagon?

Mathematics

1 answer:

goldenfox [79]3 years ago

6 0

Answer:

The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .

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In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first.

katrin [286]

Answer:

A= 29

B=34

C=117

Step-by-step explanation:

A triangle has three sides and a triangle always adds up to be 180

A + B + C = 180

B = A + 5

C = 4A + 1

Plug in.

A + A + 5 + 4A + 1 = 180

6A + 6 = 180

6A = 174

A = 29

Now since you found A, find the other two by plugging A in!

C = 4(29) + 1

C = 117

Plug in the B equation

B = 29 + 5

B=34

Check your answers

29 + 117 + 34 = 180

4 0

3 years ago

2x²-26x+84 (Factor COMPLETELY)

Nadya [2.5K]

$\tt{} {2x}^{2} - 26x + 84$

$\tt{}2 {(x}^{2} - 13x + 42)$

$\tt{}2 {(x}^{2} - 6x - 7x + 42)$

$\tt{}2( x \times (x - 6) - 7(x - 6))$

$\tt{}2(x - 6) \times (x - 7)$

5 0

3 years ago

NEED HELP ASAP!! ANSWER A THROUGH F PLEASE!!

Verdich [7]

Answer:

A. 12

B. 4

C. 10

D. 8

E. 36

F. 70

5 0

3 years ago

The polygons are similar. Find the missing side length. NO LINKS!!!!

timurjin [86]

Answer:

CD = 27

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sided are equal, that is

$\frac{CD}{KD}$ = $\frac{CB}{KL}$ , substitute values

$\frac{CD}{9}$ = $\frac{30}{10}$ = 3 ( multiply both sides by 9 )

CD = 27

7 0

3 years ago

Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca

Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

$Y= 21.839 +0.724 X$

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by $\beta_1 = 0.724$ and the intercept is $\beta_0 = 21.839$

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

3 0

3 years ago