Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D

Given: Y || ZProve: MZ5+ M2 2 + M26 = 180Angles Lines Statements Reasons21232526m21m23m25m26LAM123yStatementsReasons4567zAssemble

Answers

Answer 1

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is the Triangle Sum Theorem?

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer 2

The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is Angle Sum Property?

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

brainly.com/question/7696843

#SPJ5


Related Questions

Which expression is equivalent to 4(6 - 2x) ?

Answers

Answer:

Option A

Step-by-step explanation:

[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]

Hope this helps.

Answer the questions below, no links.

Answers

Answer:

[Graph] See attached

[Question] A, C, & E

Step-by-step explanation:

[Graph] 0.4 -> 2/5

     () It will go through the origin (0, 0) because we have no b, or y-intercept

     () From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc

     () See attached

[Question]

     () A, C, E

     () It is proportional (one to one as it is a straight line) so A is correct

     () The slope in y = mx + b is m, and our m is 0.4 so it is the slope

     () 3 * 0.4 = 1.2, so E is correct

Please help quickly

Answers

Answer:

the answer is n=17

Step-by-step explanation:

1/5= 8-5/n-2

simplify if y<0.

[tex]-\sqrt{9y^{2} }[/tex]

Answers

Answer:

-3y

Step-by-step explanation:

Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.

Thus, -√(9y²) = -3y

Answer

It's actually 3y instead of -3y.

BTW, anybody from RSM

How do you find the quotient in the equation 8÷304

Answers

Answer:

304 divided by 8 in decimal = 38

304 divided by 8 in fraction = 304/8

304 divided by 8 in percentage = 3800%

Step-by-step explanation: You just simply divide.

CALCULATE
(32/40×100%) =??
NO SPAM PLEASE ,ಠ_ʖಠ
I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )​

Answers

Answer:

[tex] \frac{32}{40} \times 100[/tex]

[tex] \frac{32}{4} \times 10[/tex]

[tex]8 \times 10[/tex]

[tex]80[/tex]

80 is the answer

Answer:

(32/40×100%)= x

(32/ 40 ) × 100 = x

0.8 × 100 = x

x = 80

(32/40×100%)= 80

Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.

Answers

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.

Answers

Answer:

so whats the question. ...........

Please help and please no links..thanks ¯\_(ツ)_/¯

Answers

Answer:

[tex]\frac{c}{4} +5 = 7[/tex]

Step-by-step explanation:

The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:

[tex]\frac{c}{4} +5 = 7[/tex]

Answer:

c / 4 + 5 = 7

Hope this helps!

Step-by-step explanation:

5 + ( more )  than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7

5 + c / 4 = 7

c / 4 + 5 = 7

Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?

Answers

Answer:

380 days

Step-by-step explanation:

38 × 1 = 38 38 × 6 = 228    

38 × 2 = 76 38 × 7 = 266

38 × 3 = 114 38 × 8 = 304

38 × 4 = 152 38 × 9 = 342

38 × 5 = 190 38 × 10 = 380

20 × 1 = 20 20 × 6 = 120

20 × 2 = 40 20 × 7 = 140

20 × 3 = 60 20 × 8 = 160

20 × 4 = 80 20 × 9 = 180

20 × 5 = 100 20 × 10 = 200

20 x 10 = 200  20 x 20 = 400

so 20 x 19 = 380

First common number in both times table is 380

the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes

Answers

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

What is the zero of the function represented by this graph?

Answers

Answer:

Step-by-step explanation:

The easiest way to answer your question is to graph it. I've enclosed a graph for you. The answer to the  question as it is asked is y ≥ 2.

The answer to your question (which is a much more interesting question) is that there is no 0. A zero of a function must touch or intersect the x axis.

8. The area of a rectangular fence is 500 square feet. If the length of the
fence is 25 feet, then find its width.

Answers

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Find an irrational number between 6 and 28

Answers

Answer:

Step-by-step explanation:

All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.

Answer:

√101 (square root of 101)

Step-by-step explanation:

Irrational numbers are numbers that can't be written as fractions.

The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

Answers

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

HOW MUCH IT’S ( 4/2 - 1/2 ) + 3/4 I need the answer because I’m stay in test

Answers

Answer:

= 7.25

Conversion a mixed number 4 3/

4

to a improper fraction: 4 3/4 = 4 3/

4

= 4 · 4 + 3/

4

= 16 + 3/

4

= 19/

4

To find a new numerator:

a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/

4

= 16/

4

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 4.

Four and three quarters is nineteen quarters

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Add: 19/

4

+ 5/

2

= 19/

4

+ 5 · 2/

2 · 2

= 19/

4

+ 10/

4

= 19 + 10/

4

= 29/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 2) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - nineteen quarters plus five halfs = twenty-nine quarters.

Step-by-step explanation:

Answer:

you can write it in exact form which is 9/4 or decimal form which is 2.25 or mixed number form 2 1/4

Step-by-step explanation:

Can you answer the question and explain it to me simply im just in 5th grade and i dont get it

Answers

Answer:

13/20

Step-by-step explanation:

12/20-4/20+5/20=

8/20+5/20=

13/20

Answer:

[tex] \frac{13}{20} [/tex]

Step-by-step explanation:

Before we can do anything with the fractions, we need to find a common denominator.

To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.

So 6/10 has now been simplified to 3/5.

Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.

Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.

Hope it helps :)

I tried to keep it simple for you.

The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.

-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2

-If 121 is the output, what was the input?

Answers

Answer:

Step-by-step explanation:

what is 32623y32t76237uy23762376etyedw7ed87fe=46y73e78se2w782wsey67edty

Answers

Is it a link? Or what ?

what is 5000000000000 divided by 11

Answers

Answer:
45.454.545,45454545

Answer:

45.454

Step-by-step explanation:

need help plssss!!!!

Answers

should I call 911 !!!!!!!!!!!!!!

Need help with what

Find the value of x in the triangle shown below.
102
48

Answers

Answer:

The sum of the angles of a triangle is always 180, so the answer is

180-102-48=30

Step-by-step explanation:

What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.

Answers

The answer is a multiple of + 4 for each number resting

The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .

What is quadratic sequence ?

Quadratic sequences are sequences that include  [tex]nth[/tex]  term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.

Quadratic sequence [tex]=an^2+bn+c[/tex]

Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.

First difference [tex]= 3a+b[/tex]

Second difference [tex]=2a[/tex]

We have,

Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]

Quadratic sequence [tex]=an^2+bn+c[/tex]

so,

For [tex]n=1[/tex];

[tex]8=an^2+bn+c[/tex]

[tex]8=a+b+c[/tex]   [tex]........(i)[/tex]

For [tex]n=2[/tex];

[tex]16=4a+2b+c[/tex]    [tex]........(ii)[/tex]

For [tex]n=3[/tex];

[tex]26=9a+3b+c[/tex]    [tex]........(iii)[/tex]

Now,

Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]

we get,

[tex]8=3a+b[/tex]    [tex]........(iv)[/tex]

Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,

[tex]10=5a+b[/tex]    [tex]........(v)[/tex]

Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,

[tex]2=2a[/tex]  (This is second difference mentioned above)

[tex]a=1[/tex]

Putting [tex]a=1[/tex]  in [tex](iv)[/tex]

⇒[tex]b=5[/tex]

Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]

[tex]8=1+5+c[/tex]

[tex]c=2[/tex]

Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,

Quadratic sequence [tex]=an^2+bn+c[/tex]

we get,

[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]

Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].

To know more about quadratic sequence click here

https://brainly.com/question/22412845

#SPJ3

guys pa help po thank you​

Answers

Answer: Should be 90

Step-by-step explanation:

Using the formula find the slope of a line with the points (10,20) and (30,50).

Answers

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.

Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.

Answers

Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8

Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:

26 = 1.4r + 8

26 - 8 = 1.4r

18 = 1.4r

18 / 1.4 = r

12.85 = r

Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.

Quick math check:

1.4(12) + 8 = $24.8 which is less then $26.

I hope this helps! :)

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]

[tex]\\ \sf\longmapsto x=11+9[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

And

[tex]\\ \sf\longmapsto y+10=2y-40[/tex]

[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]

[tex]\\ \sf\longmapsto y=50[/tex]

Step-by-step explanation:

x

2x + 11 = 3x - 9

2x - 3x = -9 - 11

x = -20

[tex] \: [/tex]

y

y + 10 = 2y - 40

y - 2y = -40 - 10

-y = -50

y = 50

1) A covered hot cup of coffee will cool to the temperature of the room as governed by a physics principle known as Newton's Law of Cooling. The data from an experiment is shown in the table. If the room temperature is 73 degrees Fahrenheit, which statement is correct?A) The relationship could be linear with c ≈ 83oF.B) The relationship could be linear with c ≈ 63oF.C) The relationship could be exponential with c ≈ 83oF.D) The relationship could be exponential with c ≈ 63oF.

Answers

Answer:

f(t) = 80 + 120 e^(-0.08 t)

Step-by step explanation:

The exponent is negative, so this is an example of exponential decay.  As t increases, the exponent becomes more and more negative.  So e^(-0.08 t) gets closer and closer to 0.  Meaning f(t) gets closer and closer to 80.

Help me solve this-> g(x) = 2x + 3



g(7) =

Answers

Answer:

17

Step-by-step explanation:

it's sufficient to set x=7

g(7)=2×7+3=14+3=17

Answer:

g(7)=2.7+3=17

does anyone know this i need it fast

Answers

-9 should be the answer
Other Questions
Barney woke up this morning and ate a donut and some orange juice. Then he had three slices of pizza for lunch. He had football practice after school and was late getting home, so he just grabbed a vanilla milkshake and fries with his friends and skipped dinner. What do you think happened the next day? Which sound device does theauthor use in the followinglines from the poem?Singing a song,In search of Eldorado.A. assonance (repeated vowel sounds)B. alliteration (repeated beginningsounds)C. repetition (repeated words)D. onomatopoeia (words that imitatesounds) Let be an angle in quadrant I such that sin +10 Find the exact values of sec 0 and tan 0. A $27 photo album costs $28.89 after sales tax is figured in. What is the sales tax percentage?Please answer the question FULLY if you dont know the answer then ask in the COMMENTS Step 2: Predict the Number of Nuclei at Each Half-Life0.5"Using the values from Step 1, predict the patternfor the decay of 100 atoms over the course of eighthalf-life cycles, Round to the nearest wholenumber of atoms. Record in the appropriateblanksTime- Half-Life Cycles, noInitialRadioactive Atoms(Predicted)100110.520.25A= 272530.125BB = 164.0.06256C = 950.03125D=460.015625D70.00781251E80.00390625EDONE) Intro An arithmetic sequence is given below.19, 14, 9, 4,...thWrite an explicit formula for the nterm an How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?A. 2 x (7.5 + 15)B. 3 x (5 + 10)C. 5 x (3 + 6)D. 15 x (1 + 2) . Tay-Sachs disease is a human genetic condition where cells build up with large, complex, and undigested lipids. Which organelle must be malfunctioning (not working) in this condition what type of food is necessary in order to maintain health? what are the contribution of music of cordillera, Mindoro, palawan, visayas on our country? i need help on this math problem How has social media negatively impacted the society? I am really lost in this statistics problem and I would truly appreciate it if someone can help me with it Find the missing value using the given information(4,p), (p,-3), m=5/3 Fatima writes down three square numbers.The total of the square numbers is 30.Which square numbers did Fatima write down? in which phase of the cell cycle do cells check to determine whether the dna is fully and correctly replicated? Which of these items are made of cells? Check all that apply/airbacteriahorseshumansmushroomsrockswater according to rios, what are zero-tolerance policies in schools an example of? in the presence of a regulatory protein the lac operon is _____. Please help! urgent! A-E questionsno links!!!!!A. Name a line parallel to KI. B. Name a line skew to KI C. Name a plane parallel to plane KIJ. D. Name a line parallel to plane GJI. E. What is a difference between parallel lines and skew lines?