3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.


2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.


3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.


4. What is the measure of ∠1? Explain.


Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.


6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answers

Answer 1

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer 2

Answer:

Good luck!

Step-by-step explanation:


Related Questions

Order the steps for constructing a circle that is circumscribed about a triangle

Answers

Answer:

1. Construct the perpendicular bisector of one side of triangle.

2. Construct the perpendicular bisector of another side.

3. Where they cross is the center of the Circumscribed circle.

4. Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

There are four steps for constructing a circle that is circumscribed about a triangle.

What exactly is the triangle?

A triangle is a three-sided polygon with three angles. The total of the triangle's angles is 180 degrees.

The steps for constructing a circle that is circumscribed about a triangle are as follows;

1. Draw the perpendicular bisector of one of the triangle's sides.

2. Create another side's perpendicular bisector.

3. The intersection is the circumscribed circle's center.

4. Place the compass on the center point, change the length of the compass to reach any corner of the triangle, and draw your circumscribed circle.

Hence, the above steps help to construct a circle that is circumscribed about a triangle.

To learn more about the triangle, refer;

https://brainly.com/question/25813512

#SPJ2

What fraction of an hour is 4 minutes Simplest From​

Answers

Answer: 1/15

Step-by-step explanation:

An hour is 60 minutes.  Thus, simply do 60/4 to get 15, and that the fraction is 1/15.

Hope it helps <3 :)

Answer:

1/15

Step-by-step explanation:

1 hour = 60 minutes

[tex]\frac{4}{60}=\frac{1}{15}[/tex]

What is 4 1/3 as a decimal

Answers

Answer:

4.33 i think im not to sure

Step-by-step explanation:

math

What is the surface area of the cylinder with height 8 ft and radius 5 ft? Round your answer to the nearest thousandth.

Answers

A≈408.41ft² < that is the answer

There are 12 students running for three student coun-
cil positions: president, vice president, and secretary.
Which of the following expressions represents the
number of ways in which these three positions can be
filled by the 12 candidates?
(a) 12.12.12
(c) 12.11.10
3.2.1
(b) 12 · 11 · 10
(d) 12!

Answers

Must be

(c) 12.11.10

Or

(d) 12

The solution is Option C.

The number of ways 3 positions can be filled by the 12 students is given by combinations where ¹²C₃ = ( 12 x 11 x 10 ) / 3 x 2 x 1

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of students n = 12 students

The number of positions in the council x = 3 positions

So , the number of ways the 3 positions can be filled by 12 students is calculated by combinations

where n = 12 and x = 3

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

¹²C₃ = ( 12! / ( 12 - 3 )! 3! )

On simplifying the equation , we get

¹²C₃ = ( 12! / 9! 3! )

And ,

¹²C₃ = ( 12 x 11 x 10 x 9! / 9! 3! )

¹²C₃ = ( 12 x 11 x 10 ) / 3!

¹²C₃ = ( 12 x 11 x 10 / 3 x 2 x 1 )

¹²C₃ = 220 ways

Hence , the number of ways the 3 positions can be filled by the 12 students is 220 ways

To learn more about combinations click :

https://brainly.com/question/28065038

#SPJ2

3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Points Possible:5


Date:



Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.















2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.















3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.















4. What is the measure of ∠1? Explain.


Write your answer in the space below.















5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.















6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answers

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

AP EX

Step-by-step explanation:

How do you write your answer as a mixed number fraction?

Answers

Answer:

to convert an improper fraction to a mixed fraction, follow these steps:

-divide the numerator by the denominator.

-write down the whole number answer.

-then write down any remainder above the denominator.

Step-by-step explanation:

Answer:

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the other fraction.

Example: 46/17

46/17= 2 r 12

2 is the whole number, and 12/17 is the fraction next to it.

Use the drop-down menu to identify what each label shows.

Answers

Answer:

please put a picture so i can awnser

Step-by-step explanation:

Answer:

where is the picture ?

Step-by-step explanation:

-8(i - 6) = 32
Solve equation with distributive property

Answers

Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2

find the length of segment LT PLEASE HELP
a. 5
b. 7
c. 14
d. 21​

Answers

7 on edg 2020.............

4. An app developer projects that he
will earn
$20.00 for every 8 apps
downloaded. Write
an equation to represent the proportional
relationship between the number of apps
and
the total earnings.

Answers

Hey I don’t know and don’t care that’s your answer

SOMEONE HELP PLZZZ ASAP

Answers

This means you replace every x in h(x) with f(x).
So it would be (2x-1)^4
Which is equivalent to (2x-1) (2x-1) (2x-1) (2x-1)
Whenever you do foil and simplify, you get -

16x^4 - 32x^3 + 24x^2 - 8x + 1

(Could I have my first brainliest?)

Answer:

Answer:

(2x−1)(2x−1)(2x−1)(2x−1)

Step-by-step explanation:

Factor 16x4−32x3+24x2−8x+1

16x4−32x3+24x2−8x+1

=(2x−1)(2x−1)(2x−1)(2x−1)

Por enviar un paquete e de 5kg de peso a una ciudad que está a 60km de distancia una empresa de transporte me ha cobrado 9€ cuanto me costará enviar un paquete de 50 kg a 200km de distancia

Answers

Responder:

300 €

Explicación paso a paso:

Dado que:

El peso del paquete de 5 kg enviado a una distancia de 60 km es de 9 €

Tomando el producto:

5 * 60 = 9 €

300 kgkm = 9 €

1 kg · km = 9/300 €

= 0,03 €

Para un paquete de 50 kg, enviado a una distancia de 200 km:

50 * 200 = 10000 kgkm

Costo de envío de paquete:

Precio por kgkm = 0,03 €

10000 * 0,03 € = 300 €

Evaluate 8x^2 + 2x + 5, when x =7

Answers

Answer:

432

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

8x² + 5x + 5

x = 7

Step 2: Evaluate

Substitute in x:                                                                                                8(7)² + 5(7) + 5Evaluate exponents:                                                                                         8(49) + 5(7) + 5Multiply:                                                                                                             392 + 35 + 5Add:                                                                                                                 427 + 5Add:                                                                                                                 432

Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.

Answers

9514 1404 393

Answer:

  $43.75

Step-by-step explanation:

The amount of the markup is ...

  $25 × 0.75 = $18.75

The final cost to the customer is ...

  selling price = purchase price + markup

  = $25.00 + 18.75 = $43.75

They charge customers $43.75 for a videogame.

please help me.......​

Answers

It’s the first one otherwise known as a

Simplify the ratio 16.8 to 11.2. is​

Answers

Answer:

5.7

Step-by-step explanation:

Im not so sure if this is the correct answer but i hope if helps! <3

quater of 80? its for my maths, thanks xx

Answers

80/4 = 20


explanation

20*4= 80


hope i helped!
A Quarter = 1/4


Quarter of 80:
= 80 x 1/4

= 80/4

= 20

Given the polynomials p(x) and g(x), which of these are guaranteed to be polynomials, too?
Select all that apply.
p(x) + g(x)
p(x) = g(x)
p(x) 9(%)
p(x) - g(x)

Answers

P(x)9(%) in fog gve VRV hobby to see what the name of the

I need help worth 25 points please help

Answers

the answer is on the pictures

sorry if their wrong

x=1/2 (or 1)

y=3/4

Person above is correct

Please please help please please

Answers

Answer:

hexagon, regular polygon

plases helpppppppppppppppppp

Answers

So B is with 6, C is with 5, D is with 4, E is with 2, and F is with 3.
Hope this helps!

II. Compare. Use >, < or =
6. + 8_____- 9
7. +25_____+26
8.0_____18
9. - 10_____+10
10. -7 ______.18




pls I need it fast​

Answers

Answer:

6. >

7. <

8. <

9. <

10. <

all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases

I’ll mark u as brainliest

Answers

Answer:

8,20,32

Step-by-step explanation:

8

20

32

You would do 2 x 4 and so on

Answer:

8,20,32

Step-by-step explanation:

multiply 4 times each number in the x section

8th grade math solution problem. Please help

Answers

3x + 2y = 12
x = y - 1

3x + 2y = 12
3 (y - 1) + 2y = 12
3y - 3 + 2y = 12
5y - 3 = 12
5y = 15
y = 3

x = y - 1
x = (3) - 1
x = 2

answer:
(2, 3)

PLEASE HELP What is the volume?

0.3 ft
0.3 ft
0.3 ft

cubic feet

Answers

0.3 is CB ft so 3€ is 4 in Us

[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]

Hope this helps.

I need help with this

look at picture

Complementary angles

Answers

Answer:

x is equal to 11...........

90°-35°= 55°

Mark as brainlist

A Ferris wheel has a 44-foot radius and the center of the Ferris wheel is 50 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Josh boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let tt represent the number of minutes since the ride started.

Write an expression (in terms of t) to represent the number of radians Josh has swept out from the 3-o'clock position since the ride started.
   

How long does it take for Josh to complete one full revolution (rotation)?
________ minutes   

Write an expression (in terms of t) to represent Josh's height above the center of the Ferris wheel (in feet).
   

Write a function f that determine's Josh's height above the ground (in feet) in terms of t.
f(t)=

Answers

Answer:

Part A

The expression in terms of 't' representing the number of radians Josh has swept since the ride started is 3·t rad

Part B

The time to complete one revolution is (2·π/3) minutes

Part C.

The function 'f' that determines Josh's height above the ground (in feet) in terms of 't' is, f(t) = 44·sin(3·t + π/2) + 50

Step-by-step explanation:

The radius of the Ferris wheel = 44 foot

The height of the Ferris wheel above the ground = 50 feet

The direction of rotation of the Ferris wheel = CCW

The angular speed of the Ferris wheel, ω = 3 radians per minute

The position from which Josh boards the Ferris wheel = 3-O'Clock

The number of minutes since the ride started started = t

Part A

The expression in terms of 't' to represent the number of radians Josh has swept since the ride started = ω × t = 3 × t rad = 3·t rad

Part B

One complete revolution = 2·π radians

The time to complete one revolution = 2·π/ω = 2·π/(3 rad/minute) = (2·π/3) minutes =  [tex]0.\overline{6}[/tex]·π minutes ≈ 2.0943951 minutes

Part C.

The height, 'h', of the Ferris wheel is given by the following sinusoidal relation

f(t) = A·sin(B·t + C) + D

Where;

A = The amplitude = The radius of the Ferris wheel = 44 ft.

The period, T = (2·π/3) minute

B = 2·π/T = 3

t = The time in minutes

D = The Ferris wheel's height above ground = 50 ft.

C = The horizontal shift = π/2 (Josh boards the Ferris wheel at t = 3-O'Clock which is the midline, a rotation of π/2 from the lowermost end of the Ferris wheel)

Therefore the function that determines Josh's height above the ground (in feet) in terms of 't' is presented as follows;

f(t) = 44·sin(3·t + π/2) + 50

Solve for a.
√7a-10 - √2a+5=0


What is the root? If there is no root, choose none.

-1
1
3
none

Answers

Answer:

3

Step-by-step explanation:

√7a-10 - √2a+5=0

√7a-10 = √2a+5

7a-10 = 2a+5

5a = 15

a = 3

Tate purchased a pair of slippers on the internet for a retail price of $16. After 6.5% sales tax, how much were the slippers?

Answers

Answer:

$15.02

Step-by-step explanation:

Given data

Total cost= $16

tax= 6.5%

let the actual cost of the slippers be x

6.5/100*x+ x= 16

0.065x+x= 16

1.065x= 16

divide both sides by 1.065

x= 16/1.065

x= 15.02

Hence the actual cost of the slippers is $15.02

Other Questions
We counted all of the _____________ circles in the tree stump to calculate how many years the tree was alive before it was cut down.Group of answer choicescentralcycloneconcentriceccentric v^2-6v+ complete square? The medieval scientist Galileo thought up the firs porotype for the helicopter.True Or False? I need help please... please complete the picture (make it sound sensible ) can someone help me get the answers to this worksheet a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sides is 7 meters longer than the other. Determine the length of the shortest side Which of the following is not an environment factor affecting a well balanced physiology?A)temperatureB)distance from the ozone layerC)altitudeD)humidityE)number of sunny days Multiplying polynomials Which inequality matches the graph? What is the difference between 4/5- 1/2 * Complete the similarity statement with capital letters.POSN ~ ?? Which ones should I try? Pick 4: The Galapagos island has a variety of tortoises with different physical characteristics. Can a Domed tortoise survive that lives on Isabella survive on the Island of Espanola? Explain. Identify the table that would correctly graph the equation: y= 3x Two different gases are stored inseparate closed containers. If both gases have a temperature of 50C, whichstatement is true? what is the period? what is the answer to this question marking brainliest if it's correct explain What do you think might happen if during anaphase, thesister chromatids did not separate? 10 + 7m = 17 What operation would you perform first and then second when solving for m in the following equation??Add 10,multiply by 7OrDivide by 7,subtracts10OrMultiple by7,add10OrSubtract10,divide by 7