A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

Answers

Answer 1

Answer: Statements 3, 4, 5

Step-by-step explanation:

Statement (3) is true because an interior angle and its exterior angle are supplementary.

Statement (4) is true by the exterior angle theorem.

Statement (5) because the sum of the angles of a triangle is 180 degrees.


Related Questions

HELLLO!HELLO HELP PLIS

Answers

Answer:

984m

Step-by-step explanation:

so all your doing is:

41 x 24 = 984m

Answer:

984

Step-by-step explanation:

It's so easy. Multiply 24 and 41 to get the area of the rectangle

1/(√2+√3)-√4 pls explain i dont understand

Answers

Hey there!

1/(√2+√3)-√4

=−2−√2+√3

(Decimal: -1.682163)

A circular swimming pool has a radius of 20 feet. The family that owns the pool wants to put up a circular fence that is 5 feet away from the pool at all points. Which is closest to the circumference of the fence they will need?

Answers

Answer:

157.08 ft

Step-by-step explanation:

R = 20+5 = 25

Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft

For what value of x does 3^4x=27^x-3?
0 -9
O-3
O 3
O 9

Answers

Answer:

the answer to the value of X is 0-3

Is {(2,3), (4,5), (-2, -1), (0,1)} a function or not give a reason for your answer

Answers

Step-by-step explanation:

yes, it is a function.

the reason : every value of x (2, 4, -2, 0) has exactly one assigned value of y : 2 to 3, 4 to 5, -2 to -1, 0 to 1.

that is the definition of a function.

"The difference of six and twice a
number is five."

Answers

Let that number be x.
6-2x=5
2x=1
x=1/2

Answer:

x = 1/2

Step-by-step explanation:

twice a number = 2x

difference means subtract 2x - 6 = 5

2x - 6 = 5                     Add 6 to both sides.

2x + 6 - 6 = 5 + 6        Combine

2x = 11                          Divide by 2

2x/2 = 11/2                

x = 5.5

Is the answer different if it is done the other way around for the difference?

6 - 2x = 5                    Subtract 6 from both sides

-2x = 5-6                     Combine

-2x = - 1                       Divide by -2

-2x/-2 = -1/-2              

x = 1/2

Yes they are different. Following the way the question is written, I would choose the second method.

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

How to determine the end behavior?

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

Read more about function end behavior at:

https://brainly.com/question/23968442

Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answers

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]

Amelia:

[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]

Amelia-Melanie= $13,082.60

Find the area of the unshaded region.

multiple choice group answers

565

555

530

560

Answers

It’s 560 because 16 x 7 = 112 and 32 x 21 = 621 then 621 - 112 = 560


[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction

Answers

I assume your question was to simplify the following fraction ;

[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]

Taking LCM will yield ;

[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]

[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]

This is the required answer

50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.


Geometric Recursive Formula

f(n) = f(n − 1) • r

Answers

Answer:

ask 23

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer:

f(n) = f(n − 1) • 2

Step-by-step explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula:  f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]

Therefore, f(n) = f(n − 1) • 2

Please help! 1/2 (18 + 14) - (18 - 14)^2

Answers

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

Four beakers contain water as shown below.



Which two beakers of water can be combined to fill one beaker to exactly 1,000 mL?


beaker B and beaker C

beaker B and beaker C

beaker A and beaker C

beaker A and beaker C

beaker A and beaker B

beaker A and beaker B

beaker A and beaker D

beaker A and beaker D

Answers

Answer:

A&C

Step-by-step explanation:

It would be A because it has 750 mL and C because it has 250mL and 750+250=1000

Also can you mark brainlyist you dont have to

Use numerals instead of words. If necessary, use / for the fraction bar(s).

The measure of angle 0 is 7 pie/4. The measure of its reference angle Is _°, and tan 0 is _

Answers

Answer:

-1

Step-by-step explanation:

angle 0: 7pie/4

=7*180/4

=1260/4

=315

hence reference angle(0)= 315

now, tan 0 = tan315

= tan(360-45)

= -tan45

= -1

1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?

Answers

Answer:

The answer is 56 and that is no guess

I need help with this math problem! ​

Answers

Answer:

the value is 120 i think and 2 x-intercepts for the graph of f

Step-by-step explanation:

sorry if it's wrong

Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?

Answers

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?

Answers

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

Subscribe and follow SonicIsCoool :)

If you need any help, im at your service :)

Simplify:
4(r + 1) + 3r

A) 4r + 4
B) 5r + 1
C) 7r + 1
D) 7r + 4

Answers

Answer:

[tex]\boxed{\sf{D. \quad 7r+4}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]

⇒ 4(r+1)+3r

To multiply, first expand the form.

⇒ 4*r=4r

⇒ 4*1=4

Rewrite the problem down.

⇒ 4r+4+3r

Combine like terms.

⇒ 4r+3r+4

Solve.

Add similar to elements.

Add the numbers from left to right.

⇒ 4r+3r=7r

⇒ = 7r+4

Therefore, the correct answer is D. 7r+4.

I hope this helps you! Let me know if my answer is wrong or not.

Is this a function pls someone tell me

Answers

Answer:

No, it is not a function.

Step-by-step explanation:

In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.

GEOMETRY HELP MEEE D:!!!

Answers

Answer:

The answer for the x would be 20.25 ft.

Step-by-step explanation:

Check the underlined writing for the 2nd easier and more efficient method

The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.

Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.

If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9

Which means that they both have the same scale

Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.

2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.

Hope this helps!

A restaurant manager gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps track of how many customers return to the restaurant during the next six months. Last year, the results showed that of the customers who reported high quality service, 90% returned for additional meals. What conclusion can be drawn from this study? (6 points) Only some customers who rate their service as high quality return for additional meals. Most customers who rate their service as high quality return for additional meals. High quality services cause customers to return for additional meals. Customers who will return for additional meals report a high quality of service.

Answers

Answer: High quality services cause customers to return for additional meals.

Step-by-step explanation:  The 90% crosses out the first option. Because it's 90% we don't know if all the customers reported their service. The last one just to me wouldn't make sense.

If claire does not make any payments, how much will she owe after ten years? $12,136.67 $3,481.24 $6,090.90 $3,232.74

Answers

The interest formulas will be used to find the amount Claire owes. If the amount has a single compounding per year, simple interest is used, otherwise, compound interest is used.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

More can be learned about interest at https://brainly.com/question/25781328

Answer:

a. $12,136.67

Step-by-step explanation:

A parallelogram with a right angle that is not a rectangle.

Answers

Answer:

One is a rhombus.

Step-by-step explanation:

What percentage of Africa is savanna?

less than ten percent

approximately twenty-five percent

almost fifty percent

close to seventy percent

Answers

Answer:

C, Almost fifty percent

Step-by-step explanation: I just got it right.

Can someone help me with this wuestion please

Answers

i think that the answer is £279.30.

to find the area of the shape you multiply 4.6 by 2.4 which is 11.04.
then you need to work out how many boxes you need by dividing the area by 0.8 which gives you 14 boxes.
you then multiply that by the price per box which was £19.95.
This gave me an answer of £279.30.

The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0) are - - (A) 1 and -2 (B) and - 1 (C) and 1 2 2 (D) 2 and -4 (E) -2 and 4​

Answers

Answer: B

Step-by-step explanation:

When f(x) turns into f(2x), we need to halve the value of x.

The roots of f(2x) will be equal to ( 1 / 2 ) and -1.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-

( x - 1 ) ( x + 2 ) =0

( 2x - 1 )( 2x + 2 ) =0

x = 1 / 2

x = -1

Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

I will give brainiest find a linear inequality with the following solution set. each grid line represents one unit.
(give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.)

Answers

Answer:

Step-by-step explanation:

What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.

Answers

Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

What is fair and accurate credit transactions act?

Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.

The objective of fair and accurate credit transactions act-

To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.

Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Option d is the correct option.

Learn more about the fair and accurate credit transactions act here

https://brainly.com/question/6656307

Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.

Step-by-step explanation: quizlet

A survey of 100 people in New York City, NY found that.
• The probability that they take the subway each day is 0.85
• The probability that they take a Taxi each day is 0.6
• The probability that take the subway and taxi each day is 0.55

If a person is selected at random, then determine the probability thay they take either the subway or a taxi each day.

Answers

Answer: 0.9

Step-by-step explanation:

[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]

[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]

Other Questions
After the Romans destroyed the Jewish capital the Jews were scattered throughout the world. This was called the: A. disaster B. denigration C. genocide D. diaspora After several months of persistent heartburn, an adult client has been diagnosed with gastroesophageal reflux disease (GERD). Which treatment regimen is likely to be prescribed for this client's GERD Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle 10.1 inverses of simple quadratic and cubic functions answers Area = 120 units squared Base = 8 units Length = ? (Include the units in your answer) Which digital text feature shows a moving illustration? Animation Interactive elements Sound Video Compare and contrast how the elements are used in the different genres this hybrid uses metric formats to tell a true story. Find the value of a and b so that f(x)=(x-5)(a3-b) Anthony takes out a student loan to pay for his college tuition this year. Find the interest on the load if he borrowed $6,000 at an annual interest rate of 6% for 15 years PLS HELP MEUse the box-and-whisker plot to complete each of the following statements. A)The median of Set A is approximately ___ the median of Set B. Answers I can pick from: Half of, the same, twiceB) The range of Set B is approximately ___ the range of Set A. Answers I can pick from: Half of, the same, twiceC) The interquartile range of Set A is ____ the interquartile range of Set B. Answers I can pick from: Less then, greater then, the sameD. There is ____ overlap between the two data sets. Answers I can pick from: some, much, little, like, no Can someone please HELP ME I HAVE A TEST TMRW I STUDIED BUT I FORGOT HOW TO DO THIS STUFF CAN SOMEONE EXPLAIN IT TO ME An angle of measure [tex]\frac{4\pi }{3}[/tex] intersects the unit circle at point ([tex]-1/2,- \frac{\sqrt{3} }{2}[/tex]). What is the exact value of tan([tex]\frac{4\pi }{3}[/tex])?a. -1/2b. [tex]\sqrt{3[/tex]c. [tex]\frac{\sqrt{3} }{3}[/tex]d. [tex]-\frac{\sqrt{3} }{2}[/tex] A square scarf has a side length of 3/4 yard on each side.What is the area of the scarf?Enter your answer in the boxes as a fraction in simplest form. Make a number line and mark all the points that represent the following values of x. X2 or x ANSWER ASAP PLEASE Based on the information in the flowchart, which of the following statements best describes how the president can influence the rulemaking process?The president can issue an executive order instead of a rule if the rule does not support the administrations goals. The president exerts control over rules and regulations by selecting agency leaders who are sympathetic to the presidents goals. The president has little control over the rulemaking process, as the administration must follow the specific dictates in the legislation. The president can use public relations to rally citizens to support or defeat potential rules that may harm the administrations goals Im thinking trapezoid and rhombus but I dont know What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000? A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone? You have just completed an interview at CVS. Send a thank you email to the person who you did the email with. And let them know that you are interested in working with them, if given the opportunity. Please fill out the boxes in this template, and note this must be a formal email with a greeting and closing. Use the coordinate plane below (PLEASE HELP FIRST TO ANSWER AND ANSWER ALL WILL GET BRAINIEST)