what is the sum of the measures of the angles of a convex quadrilateral? will this property hold if the quadrilateral is not convex?​

Answers

Answer 1

Answer:

The sum of the measures of the angles of a convex quadrilateral is 360° as a convex quadrilateral is made of two triangles. Yes, this property also holds true for a quadrilateral which is not convex. This is because any quadrilateral can be divided into two triangles.


Related Questions

Hi, I have a question: Is 1.2 and 1.20 the same?

Answers

Answer:

yes

Step-by-step explanation:

0 is just a place holder

Answer: yes

Step-by-step explanation:

Trailing zeros with no numbers of value after them are just place holders.

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

Answers

Answer:

2 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29

Thus, improper fraction would be [tex]\frac{29}{4}[/tex]

do same thing  for other one

thus , [tex]\frac{26}{5}[/tex]

now,

[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]

convert back to mixed number

2 [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]

            [tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]

b) Keep Change Flip method

[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]

            [tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]

Find the surface area.
5 cm
14 cm
9 cm
3 cm

Answers

Answer:C. 2/3 cm/s

Step-by-step explanation:

a) Find the value of 1 + 3x when x = 1
b) Find the value of 7 - 2x when x = -3​

Answers

the first one is 4 and the second one is 13

what number is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

50 POINTSS!! please i really need help!!

Answers

Answer:

a. Mrs. Golden added the most money from her account.

b. Miss Ternary had the least change

c. Mrs. Golden's account was 760 higher than Ms. Schmitt's.

Step-by-step explanation:

:)

Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.

Answers

Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)

Step-by-step explanation:

24 divided my 6 + 4 to the power of 2

Answers

Answer:

.24

Step-by-step explanation:

Express the ratio in lowest form:
1.5 kg: 350 g​

Answers

Given:

The ratio is:

1.5 kg : 350 g​

To find:

The lowest or simplest form of the given ratio.

Solution:

We know that,

1 kg = 1000 g

We have,

1.5 kg : 350 g​

It can be written as

[tex]1.5\ kg : 350\ g=\dfrac{1.5\ kg}{350\ g}[/tex]

[tex]1.5\ kg : 350\ g=\dfrac{1.5\times 1000\ g}{350\ g}[/tex]

[tex]1.5\ kg : 350\ g=\dfrac{1500\ g}{350\ g}[/tex]

[tex]1.5\ kg : 350\ g=\dfrac{150}{35}[/tex]

[tex]1.5\ kg : 350\ g=\dfrac{30}{7}[/tex]

Therefore, the lowest form of the given ratio is 30:7.

Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the
drawing.
Train Car
10.8 cm
What is the actual length of the train car?
A.21.6 ft
B.27 ft
C.43.2 ft
D54 ft

Answers

Answer: c

Step-by-step explanation:

The required actual length of the train is given as 27 ft.

Given that,
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the drawing.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
As given,
2 cm = 5 ft
1 cm = 5/2 ft
Tain car length = 10.8 m
Actual length = 10.8 × 5/2 = 27 ft

Thus, the required actual length of the train is given as 27 ft.

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ1

I have 5 mins to get this done.

Answers

1.)A.74
2.)B.40
3.)A.92

Hope this helps

Have a great day/night

Feel free to ask any questions

(4n+1)(2n+6) multiply polynomials

Answers

Answer:

= 8n^2 +26n +6

Step-by-step explanation:

(4n+1)(2n+6)

= 8n^2 + 24n +2n +6

= 8n^2 +26n +6

The product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.

To multiply the polynomials (4n+1)(2n+6), you can use the distributive property.

(4n+1)(2n+6) = 4n x 2n + 4n x 6 + 1 x 2n + 1 x 6

Applying the distributive property and simplifying each term:

= 8n² + 24n + 2n + 6

Combining like terms:

= 8n² + 26n + 6

Therefore, the product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.

Learn more about Polynomial here:

https://brainly.com/question/29145428

#SPJ6

A 1. Explain the key difference between permutations of three out of a
group of seven objects and combinations of three out of a group of
seven objects.

Answers

Answer:

Step-by-step explanation:

im clueless

I need help with this question

Answers

Answer:

8 or 9^8

Step-by-step explanation:

You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.

A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?

Answers

it would be an acute

Multiply (8x^4)(7x^2). What is the product?

Answers

Answer:

200,704x

Step-by-step explanation:

(4,096x)(49x)

=200,704x

I have no clue how to solve. Need help ASAP

Answers

Answer:269

Step-by-step explanation:

8x18=144

6x10=60

9x5=45

5x4/2=10

5x4/2=10

144+60+45+10+10=269

Function Notation: f(x)= -4+22; f(12)​

Answers

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22



What happens when a triangle is dilated using one of the vertices as the center of the dilation? Complete
the explanation.
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be ?
The vertex used as the center of dilation will be in

Answers

Answer:

The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-

image and image will be “parallel”

The vertex used as the center of dilation will be in “the same location in both triangles”

Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?

Answers

Answer:

Water level and temperature

Step-by-step explanation:

Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.


#6thgrademath plz help

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

40,404x40=1,616,160

57,616x40=2,304,640

2,304,640-1,616,160=688,480

The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)
0 #4 - 6 = 46 + 6 = ()
7* 9-6-167-15-6
0676x* 167 18-0
D. ** *64*167-15-0

Answers

Answer:

The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0

Step-by-step explanation:

On a​ map, 1 inch equals 5 miles. Two cities are 6 inches apart on the map. What is the actual distance between the​ cities?

Answers

Answer:

30

Step-by-step explanation:

(5*6)/1

need help asap will give brainly

Answers

Answer:

False

Step-by-step explanation:

please brainlist

Answer: 0.125 meters / 1 I think

How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

Answers

Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

24 is the answer hope this helps

The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.

Someone plz help

Answers

Answer:

Step-by-step explanation:

Formula for volume of a circle: V=πr²

If you multiply the circle by height, it becomes a cylinder.

Formula for volume of a cylinder: V=πr²h

Plug in the numbers and get r by itself:

471 = πr²(6)

Divide both sides by 6:

78.5 = πr²

Divide both sides by π:

25 = r²

Square root both sides:

[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²

5 = r

Radius is 5 cm

17x(8-5)x5 plz help me by solving this plz

Answers

Answer:

255

Step-by-step explanation:

so you first do the bracket so 8- 5 = 3

then 17 × 3 =51

and 51× 5 = 255

17 x (8-5) x 5

= 17 x (3) x 5

= 17 x 3 x 5

= 17 x 15

= 255

Write the word sentence as an inequality.
The sum of a number n and
n
is no less
less than
than 55
An inequality is
What is the inequalities

Answers

The answer I think is an inequality

PLEASE HELP ASAP I HAVE 10 MINUTES ​

Answers

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

Please help !!
Select the correct answer.
Factor the expression.
(49x^2 - 16) | (Choices in the picture.)​

Answers

Answer:

B.

Step-by-step explanaBtion:

The answer would be B

(7x+4)(7x-4)

you can tell because when you expand it e.g.

49x^2 +28x - 28x -16

simplify

49x^2 - 16

equals the expression

Answer:

The answer would be B: (7x+4)(7x-4)

Other Questions
A data set has these values: 7,9,9, 11, 11, 11, 11, 13, 13, 15. A histogram ofthe distribution is shown.4Which statement does not describe the data set?3Frequency2A. It has a range of 16.B. It has a median of 11.06 8 10 12 14 16c. It has a mode of 11.OD. It is symmetric. A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found. Which diagram most accurately explains changes in media over time? 8x + 3 = ? What answer Can someone please help me with this question due in 2 minutes (ASAP) In PQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of R to the nearest degree. The boss asked him to leave the meeting (change into passive voice) _____ is a force caused by air that slows objects down YesOONoBalanced or Not Balanced? *2 NaCl + 2 F2 2 NaF + 1 C12YesNo Through part of the 2017-18 National Basketball Association (NBA) season,two players had these statistics for the number of points they scored.Anthony Davis Kevin DurantPoints per game (mean): 25.9 26.0Mean average deviation: 6.6Based on these data, which statement is true?4.3A. On average, Kevin Durant scored many more points. The numberof points Durant scored also varied more.B. On average, Anthony Davis scored many more points. The numberof points Davis scored also varied more.C. On average, the two players scored about the same number ofpoints. The number of points Davis scored varied more.D. On average, the two players scored about the same number ofpoints. The variation in the number of points scored was alsoabout the same Why does Bedford consider returning in a bigger sphere with guns? He wants to drive out the Selenites. He wants to return for gold. He wants to explore the cave again. He wants to get revenge. Can someone help me plzzz!! A recipe for cookies calls for cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies? A. B. C. D. Decrease 843 by 91% rounded to 2 DP A double replacement reaction has two compounds as reactants.True or false How did the United States win the war in the Pacific? BFind the measure of 21.214286 Tyler orders a meal that costs $15. A. if the tax rate is 6.6% how much will the sales tax in be on Tyler's meal?B. Tyler also wants to leave a 20% tip for the server. How much do you think he should pay in all explain your reasoning. Which statement best represents the controlling idea of the paragraph? How did James I contribute to the spread of Protestantism?He ordered a new translation of the Bible. He united all Protestant denominations into one church. He had the Bible translated into many different languages. He encouraged people of other religions to become Protestants