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

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:

AP EX

Step-by-step explanation:


Related Questions

Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?

Answers

Answer: 12 adult tickets where sold

Step-by-step explanation:

3 is less than w, and 8 is greater than w

Answers

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8

3(x + y) (2x - 3y) + (x + y)×2 factorize​

Answers

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

Describe the characteristics of metal in which metal converts into sheet.​

Answers

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

I need help please...

Answers

Answer:

16^2+32cd+16d^2

Step-by-step explanation:

(4c×4d)(4c+4d)

16c^2+32cd+16d^2 use the foil method

A circle has a central angle of 6 radians that intersects an arc of length 14in

Answers

c=2pir

arclength/circumference=centralangle/2piradians

14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r

well,
um
the answer is B

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))​

Answers

v= 4πr³ / 3

V = 4(3.14) (0.3)³ / 3

V = 0.11 mm³

Option A
The volume would be answer A.

Graph identify the solution. y =-3/5x-3. y=3

Answers

Answer:

X= -10

Step-by-step explanation:

Please help me with this question

Answers

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2


Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST

Answers

Answer:

hi

Step-by-step explanation:

Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.

The candy is $1.85 per pound so you would multiply that by 2 4/5 which equals 5.18. 10 - 5.18 = 4.82
Hope this helps!

Which graph represents the function?

f(x)=x+2‾‾‾‾‾√3

Answers

Answer:

the correct answer is the last one to the right side

Answer:

Equation :

f(x) = ³√x+2

The fourth option.

See image.

I hope the image helps.

Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?

Answers

s=3
subtract 2 from 5 and you get 3

help me pls i need help

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of

interest is Sandra actually paying? (use the formula)

Answers

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

[tex]I = (1 + \frac{r}{n})^{n}[/tex]

In which r is the interest rate and n is the number of compoundings during an year.

The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that [tex]r = 0.07125, n = 12[/tex]

So

[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]

As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%

She is actually paying a rate of 7.36% of interest.

Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x

Answers

Answer:

The constant of  proportionality is 7.87.

Step-by-step explanation:

The relation between x and y is given by the equation :

y = 7.87x

y is directly proportional to x i.e.

y ∝ x

To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of  proportionality is 7.87.

Explain the difference between (-5)squared and -5squared.

Answers

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

help me out please :(?

Answers

Answer:

3x2+15x=18

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

A

I worked them out myself so if their wrong uh please don't get mad I tried my best.

Step-by-step explanation:

3x (2) + 15x = 18                               3x (2) + 15x = 18

6x + 15x = 18                                     6x + 15x = 18  

-6x + -6x = 18                                            -18     -18

--------------------------                             ------------------------

0 + 9x = 18                                            6x + -3 = 0

   ------  -------                                         -3 +  -3

      18  18                                           --------------------

          x = 2                                              -3 + 0

                                                                    X = -3

The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?

Answers

Answer:

6

Step-by-step explanation:

W=L-2

A=L*W

48=L(L-2)

48=L^2-2L

You factor and then you get L=8

W=8-2=6

The cost c varies directly as the numbers n of pencils is written as A. c = kn B. k+ cn C. n = k/c D. c =k/n

Answers

Answer:

A. c = kn

Step-by-step explanation:

The cost c varies directly as the numbers n of pencils

This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:

[tex]c = kn[/tex]

In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.

For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5

Answers

Answer:

honestly I don't know the answer

(I SUCK AT MATHS)

If 15 metres of rope costs £22.50, how much would 12 metres cost?

Answers

18 pounds

Take 22.50. Divide by 15
You get 1.5

Then 12 * 1.5 = 18

Answer:

$18

Step-by-step explanation:

22.50×15=1.50

1.50×12=18

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an orange?

Answers

Answer:

2/5

the denominator is five because it says that there is five equal portions of the spinner. The numerator is too because you are trying to find the odds of getting two colors

2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?​

Answers

Answer: 4 feet.

Step-by-step explanation:

Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3

Proportion from baby elephant to its shadow = x : 12ft

These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.

In order to solve this problem, we need to cross multiply. (Attached image)  

So, 3x = 12.

By solving this equation, we find that x = 4

The height of the baby elephant is 4 feet.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

For what value of x do the expressions 2x +3 and 3x -6 have the same value?

Answers

Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

I need to find the x of the triangle.

Answers

133 because 35+12=47 180-47=133

Question 11

A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged

rectangle?

Answers

Answer:

The perimeter of the enlarged rectangle is 36 inches.

Step-by-step explanation:

Perimeter of an enlarged figure:

To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.

In this question:

Perimeter of the original rectangle: 12 inches

Scale factor: 3

Perimeter of the enlarged rectange:

12*3 = 36 inches

What is the percent of decrease from 1,000 to 90?

Answers

Answer:

91%

Step-by-step explanation:

Hope I helped:)

91% because percent decrease = starting value-final value/starting times 100

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Answers

B is the answer dear

Prove that
sinAtanA/1-cosA
= 1 + SECA

Answers

Answer:

The proof is done in the step-by-step explanation below.

Step-by-step explanation:

We are given the following identity:

[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]

And we have to show that this is equals to:

[tex]1 + \sec{A}[/tex]

Multiplying numerator and denominator by the conjugate of the denominator:

[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]

[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]

We use these following identities:

[tex]\sin^2{A} + \cos^2{A} = 1[/tex]

So

[tex]1 - \cos^2{A} = \sin^2{A}[/tex]

Also:

[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]

Then

[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]

[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]

[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]

[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]

[tex]\frac{1}{\cos{A}} + 1[/tex]

Since:

[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]

We have that:

[tex]1 + \sec{A}[/tex]

Thus, the proof is done.

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