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2 years ago

Find the measure of angle F

Mathematics

1 answer:

Tema [17]2 years ago

3 0

Answer:

∠ F = 80°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°

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Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74

lilavasa [31]

Answer:

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

Step-by-step explanation:

Given the data:

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152

Sample size, n = 15

The first quartile, Q1 = 1/4(n+1)th term

Q1 = 1/4(15+1)th term

Q1 = 1/4(16) = 4th term

Q1 = 87

The Median , Q2 = 1/2(n+1)th term

Q2 = 1/2(15+1)th term

Q2 = 1/2(16) = 8th term

Q2 = 102

The third quartile, Q3 = 3/4(n+1)th term

Q3 = 1/4(15+1)th term

Q3 = 3/4(16) = 12th term

Q3 = 115

The interquartile range, IQR = Q3 - Q1

IQR = (115 - 87) = 28

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

4 0

3 years ago

Choose two answers. need help asap!

Lelu [443]

Opposite sides are congruent opposite angles are congruent

5 0

3 years ago

What is the volume??????

Ugo [173]

Answer:

$36\:\mathrm{in^3}$

Step-by-step explanation:

The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:

$A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}$

The height is marked as $6$ inches. Thus, the volume of the prism is:

$\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}$

7 0

3 years ago

Read 2 more answers

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Zielflug [23.3K]

Answer:

$B = 134^o$

Step-by-step explanation:

$n = 6$ --- sides

$A = 170^o$

$C = 107^o$

$D = 102^o$

$E = 117^o$

$F = 90^o$

Required

The measure of B

The interior angles of a polygon is:

$Angles = (n - 2) * 180$

So, we have:

$Angles = (6 - 2) * 180$

$Angles = 4 * 180$

$Angles = 720^o$

The measure of B is calculated using:

$A + B + C + D + E + F = 720$

Substitute known values

$107 + B + 170 + 102 + 117 + 90 = 720$

Collect like terms

$B + 107 + 170 + 102 + 117 + 90 = 720$

$B + 586 = 720$

Collect like terms

$B = 720 - 586$

$B = 134^o$

4 0

3 years ago

A box holds 42 pieces of red construction paper and 18 pieces of blue construction paper. A piece of paper is pulled out of the

dimulka [17.4K]

<u>First problem :</u>
probability to draw a red paper : 42/(42+18)=7/10

In 110 tries one can thus expect to draw 7/10*110=77 red papers

<u>Second problem :</u>
Since for 150 trials (which will give the least error) we have got 135 yellow balls, we can expect twice as much in 300=150*2 trials, which makes 270 yellow balls.

3 0

3 years ago