How are triangles related to quadrilaterals?

Answers

Answer 1

Answer:

The triangle's area formula is half of the quadrilateral's area formula

Step-by-step explanation:

If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.


Related Questions

find average of first 5 multiples of 4​

Answers

Answer:

Ans- The mean of first 5 multiples of 4 is 12.

Answer:

12

Step-by-step explanation:

The first 5 multiples of 4 are:

4 , 8, 12, 16 and 20

Their average is:

(4 + 8 + 12 + 16 + 20)/5 = 12

what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.

Answers

Answer:

-5, -2/3, 3/4, 7

Step-by-step explanation:

The solutions are solutions of one of the following:

(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0

The latter two are straightforward: x = 7 or 3/4.

To factor the first, note it must be of the form (3x + __) (x + __)

Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:

(3x + 2) (x + 5) = 0

So, we also have solutions -5, -2/3

Answer:-5,-2/3,3/4,7

Step-by-step explanation:

took quiz

I NEED HELP WITH THESE 2 QUESTIONS ASAP!

Answers

Answer:

  a) 2, 4, 8, 32, 60

  b) 2, 4, 32, 64, 120

Step-by-step explanation:

a)

The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.

  [tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]

__

b)

The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.

  [tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]

What is
21.9% of 44,700

Answers

Answer:

9,789.30

Step-by-step explanation:

44,700 x .219 = 9,789.30

the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point​

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~

Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?

Answers

total cost = 6.25 + 0.25 x

15.75 - 6.25 = 0.25 x

9.5 = 0.25 x

x = 38 prints

8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?

Answers

Answer:

0.373248

Step-by-step explanation:

P(A and B) = P(A) * P(B)

Let's say one person wearing a seat belt is event A, the second person wearing a seat belt is event B, and the third person wearing their seat belt is event C

P(A and B and C) = P((A and B) and C) = (P(A) * P(B)) *P(C) = P(A) * P(B) * P(C)

The probability of each is 0.72. Our answer is therefore 0.72 * 0.72 * 0.72, or 0.72³ = 0.373248

Which expression represents"6 more than x"?

Answers

Answer: x + 6

Step-by-step explanation:

The expression that represents 6 more than x is x + 6.You can also rewrite this as 6 + x, but there is no need.

Please accept my friend request.

Also, Can I please get BRAINLIEST?

3k - 2 = 10
Evaluate the expression

Answers

Answer:

k = 4

Step-by-step explanation:

3k - 2 = 10

3k - 2 + 2 = 10 + 2

10 + 2 = 12

3k = 12

3k/3 = 12/3

k = 4

PLS ANSWER AS SOON AS POSSIBLE

Answers

-a²-2ax-x²+49 I think this is the answer

Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.

Answers

Answer:

Length = 13

Step-by-step explanation:

P = 2L + 2W

L = 4W + 1

P = 32

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3

L = 4(3) + 1

L = 12 + 1

L = 13

A class has 7 boys and 10 girls. Select all associated ratios for this class. ( select more than 1 please )

10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7

Answers

Answer:

7:10

Step-by-step explanation:

The ratio of boys to girls is 7 to 10

Please answer the question the file is attached below and please answer fast

Answers

Answer:

y = -4x + 5

Step-by-step explanation:

choose 2 easy-to-read points on the line:  (0, 5) and (2, -3)

Because we have chosen the point that intersects the y-axis (0, 5) we know that the y-intercept of the line is 5.

Using equation of a line in slope-intercept form: y = mx + b (where m is the slope and b is the y-intercept):

The slope of the line = change in y ÷ change in x = (-3 - 5) ÷ (2 - 0) = -4

Therefore, y = -4x + 5

In the triangle shown above, a = 16 cm, b= 12 cm, and c= 8 cm. What is the approximate measure of angle A?


A. 14.48°

B. 75.52°

C.65.56°

D.104.48°​

Answers

Answer:

I think its A

Step-by-step explanation:

The approximate measure of angle A is 104.48 degrees. The correct option is D.

Given that:

a = 16 cm

b = 12 cm

c = 8 cm

To find the measure of angle A in the triangle, use the law of cosines.

The law of cosines states that for any triangle with sides a, b, and c, and the angle opposite side c, denoted as C:

c² = a² + b² - 2ab × cos(C)

In this case, we want to find angle A, which is opposite side a. So, the equation becomes:

a² = b² +c² - 2bc × cos(A)

Now, plug in the given values:

16² = 12² + 8² - 2 × 12 × 8 × cos(A)

256 = 144 + 64 - 192 × cos(A)

Now, isolate cos(A):

192 × cos(A) = 144 + 64 - 256

192 × cos(A) = -48

cos(A) = -48 / 192

cos(A) = -1/4

Now, to find the measure of angle A, take the inverse cosine (cos^-1) of -1/4:

[tex]A \approx cos^{-1(-1/4)}[/tex]

A ≈ 104.48 degrees.

So, the approximate measure of angle A is 104.48 degrees. The correct option is D.

Learn more about Angle here:

https://brainly.com/question/31818999

#SPJ3

15 points!!
I need 10-18 if you know any please help me out!!

Answers

Step-by-step explanation:

10.

angle QUR must be 180-41 = 139°

the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.

11.

the angle RUQ is larger.

the angle TUS is 90°.

therefore, SUN is 90° too. as well as TUQ and QUN.

the angle TUR is then TUS + 41 = 90+41 = 131°

and we know from 10. that QUR (or RUQ) is 139°.

therefore, RUQ is larger.

12.

when 2 lines cross, then the diagonally opposing angles are identical.

therefore,

84 = 4x

x = 21

13.

the same principle as in 10. applies.

all angles in one side of a line around a single point must be 180°.

so,

KMH + 84 = 180

KMH = 96°

14.

EBD = 90°

therefore, also ABE = 90°.

and we can imagine that BE extends straight to the other side of B having a point G there.

and then ABG = DBG = 90° as well.

and because these 90° angles and the principle of 12., we have

ABF = CBD = 90-62 = 28°

therefore,

CBE = CBD + DBE = 28 + 90 = 118°.

15.

ABF = 28°

as we calculated that in 14 already.

16.

due to the principles of 14 and 10 we have

CBA = 180 - CBD = 180 - 28 = 152°.

17.

this is not relevant to any of the pictures before.

angle A = angle B + 4

complementary angles are together 90°.

so,

A + B = 90

now we use the identity of the first equation in this main equation :

(B + 4) + B = 90

2B + 4 = 90

2B = 86

B = 43°

=>

A = B + 4 = 43 + 4 = 47°

18.

again, this is not related to any of the pictures before.

supplementary angles are together 180°.

D = 5E

D + E = 180

5E + E = 180

6E = 180

E = 30°

=>

D = 5E = 5×30 = 150°

which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)

a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5​

Answers

Answer:

c) 8r - 19

Step-by-step explanation:

Subtract    6r - 7

              -  -2r + 12

  = 8r - 19

Answer:8r-9 or c

Step-by-step explanation:

SUBTRACT THE FOLLOWING POLYNOMIALS.

1. 2a²b²–(-4a²b²)=

2. 3z–5z–(-6z)=

3. 3m–(4m)=​

Answers

I think this may be what you are looking for

Gizmos come in a carton. A carton holds 6 packages. Each package holds 10 small boxes. Each small box holds 12 gizmos. How many gizmos come in a carton?
Group of answer choices

720 gizmos

830 gizmos

640 gizmos

Answers

Answer:

720

Step-by-step explanation:

i used a calculator box = 12 gizoms 1 package =10 boxes

12x10 = 120. 120 x 6 = 720

Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab​

Answers

Step-by-step explanation:

add like term

follow the process and answer is there

how many values are in the range 17 to 118?

A- 102
B- 135
C- 100
D- 67.5

Answers

Answer:

C- 100 values

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

118-17+1 = 102

how many 5 digit palindromic numbers have digits that add up to 14

Answers

Answer:

Step-by-step explanation:

It looks like 25, but I have to check it some more.

It looks like there are 25, but I can only give you the answer. I cannot give you a proof

Samples

12821

40604

51215

A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon

Answers

Answer:

It called c. Heptagon

Step-by-step explanation:

Answer:

it’s c :)

Step-by-step explanation:

because there no other Correct answers

Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color

Answers

Answer:

I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2

2/8

Step-by-step explanation:

Can someone check this?​

Answers

Answer: Choice B

t = 0.06p

================================================

Explanation:

If we plugged in p = 2, then,

t = 0.06*p = 0.06*2 = 0.12

Showing that the point (2, 0.12) is on the diagonal line of the equation t = 0.06p

This matches with what the graph shows.

The y axis is incrementing by $0.025, aka 2.5 cents, each tickmark upward. Counting up 5 tickmarks will get you to $0.125 or 12.5 cents which is fairly close to 12 cents.

When you divided the x and y values to find the constant of variation, you divided in the wrong order. You should do y/x instead of x/y.

After earning your first $1000, you deposit the whole amount—$1000—into an account that grows at an interest rate of 12% annually. The earned interest is calculated and added to the account once a year.

Which function represents the amount of money in the account after t years?

(Assume that you do not make any additional deposits or withdrawals.)

Answers

Answer:

b f(t)=1000(0.12)ť

Step-by-step explanation:

Also that 1000 dollars will be 1,120 because of interest

Jaime needs to buy a new refrigerator for his apartment. He found what he needed for $1,300 at a well-known appliance store. The store is offering two options for Jaime to finance the appliance:

Option I: A store credit card with a $1,500 limit:

1) The credit card charges 16.5% annual interest rate.

2) The minimum monthly payment is $100 plus the monthly finance charge.

3) No down payment required

4) The loan is expected to be paid off in12 months to avoid additional penalties.





Option II: The appliance store offers an installment loan for his purchase:

1) Loan charges a simple interest rate of 12.5%.

2) Loan must be paid off in 12 equal payments to avoid penalties.

3) A $300 down payment is required.

Answers

Jamie should accept the second option to buy a new refrigerator for his apartment.

What is the annual interest rate?

The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.

The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.

Option 1:

The annual interest rate for the first card = $1300 × 16.5%

The annual interest rate = $214.5

The minimum monthly payment is $100 plus the monthly finance charge.

The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.

The monthly finance charge [tex]\mathbf{=1300\times \dfrac{0.165}{12}}[/tex]

The monthly finance charge = $17.88

Now,

The minimum monthly payment is $100 + $17.88

The minimum monthly payment for the first month = $117.88

Provided there is no down payment;

In 12 months, Jaime would have paid off the loan with an additional interest of $214.5

Total amount paid = ($117.88 × 12)+$247.5

= $1629.06

Option 2.

The appliance store offers an Installment loan;

The loan charges a simple interest rate of 12.5%;

Using;

[tex]\mathbf{S.I = \dfrac{PRT}{100}}[/tex]

Since the loan must be paid in 12 equal payments, we can say the loan is paid monthly which is equivalent to 1 year.

i.e.

Time (T) = 1 year

[tex]\mathbf{S.I = \dfrac{1300 \times 12.5 \times 1}{100}}[/tex]

S.I = $162.5

Given that;

The down payment = $300

In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.

Thus, In 12 equal payment times,

Jamie gets to pay = $1000/12

Jamie gets to pay = $83.33 each time.

Total amount paid = $162.5 + 1300

Total amount paid = $1462.5

Therefore, we can conclude that Jamie should accept the second option to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.

Learn more about the annual interest rate here:

https://brainly.com/question/4330867

I need help on question 16

Answers

Answer:

more than 22

Step-by-step explanation:

last year average 21points per game

so they need at least 22 points per game to be better than last year average

to get 22 points per game average (for the first three game)

they need to score total = 22 × 3 games = 66 points

then, minus total score they need to goal

66 - 14 -30

= 22 point more to score

PLEASE PLEASE HELP AND PLEASE

Answers

Answer:

Step-by-step explanation:

Part A is -6  

Because 7 - 13 is -6 so at 9 am it was -6 degrees

Part B is -7.5 degrees

Because 6 x -1.25 = -7.5

Please answer both question fully.

Answers

Step-by-step explanation:

Part A

Angle measures:

a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part B

Supplementary angles for a linear pair and sum to 180°.

Examples are:

a and b or a and d orx and y etc.

Solution:

Given:

An angle which measures 51°

Using the given measure of an angle, we can identify all the angles.

a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)

We can tell that:

a = x = z = 51°b = d = w = y = 129°

Supplementary angles are pairs of angles that sums up to 180°.

Example of supplementary angle:

∠a and ∠b are supplementary angles because they sum up to 180°.

anyone know the answer to this?

Answers

Answer:

0.99.

Step-by-step explanation:

Remove the decimal point.

Then, divide.

I'll show you an image.

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