Given: y || 2
Prove: m5+ m2+ m6 = 180°
L
A
M
1 1
23
y
4
5
6 7 z
С
B
Answers
The relationships between angles formed by two parallel lines having a common a transversal include, alternate interior, vertically opposite, corresponding, alternate exterior, same side, interior and exterior
The correct option for the missing reason in step 3. is as follows;
Alternate interior angles are congruent
The reason the above option is correct is as follows:
The given parameters are;
Line y is parallel to line z
The figure ABC forms a triangle
The two column proof is presented as follows:
Statement Reason
1. ABC is a triangle 1. Given
2. lines y and z are parallel 2. Given
3. ∠1 is congruent to ∠5; ∠3 ≅ ∠6 3. Statement reason required
∠3 is congruent to ∠6
4. m∠1 = m∠5; m∠3 = m∠6 4. By definition of congruency
5. m∠1 + m∠2 + m∠3 = m∠LAM 5. By angle addition Postulate
6. m∠1 + m∠2 + m∠3 = 180° 6. Angles on a straight line
7. m∠5 + m∠2 + m∠6 = 180° 7. Substitution (property)
Required:
The reason for the statement ∠1 ≅ ∠5; ∠3 ≅ ∠6
Solution:
From the attached diagram for the question, we have that angle ∠1 and angle ∠5 on line AC and ∠3 and ∠6 on line AB are alternate interior on two parallel lines, and they are therefore, congruent.
Therefore
∠1 ≅ ∠5, and ∠3 ≅ ∠6 by alternate interior angles theorem which states that alternate interior angles, which are the pair angles formed in the inside face of two parallel lines crossed by a common and the common transversal but on either of the transversal, are congruent
Therefore, the missing reason in Step 3 is; Alternate interior angles are congruent
Related Questions
cuanto es 3/5 menos 1/2
Answers
Answer:
1/10
Step-by-step explanation:
(3/5) - (1/2)
3/5 = 3*2/ 5*2 = 6/10
1/2 = 1*5/ 2*5 = 5/10
(6/10) - (5/10)
= (6-5) / 10
= 1/10
A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?
Answers
Answer:
66
forty-four times 1.5 equals 66
please help, im literally so tired
Answers
Answer:
sameee lol
Step-by-step explanation:
A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.
Answers
Answer:
at most 17 pitches per inning
Step-by-step explanation:
It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.
We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.
From part (a) we know 3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of p pitches per inning in the next 3 innings.
If the pitcher can make at most 105 pitches, then:
3 p + 53 ≤ 105 3p+53≤105
To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:
3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53
3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]
at most 17 pitches per inning
(Hope this helps can I pls have brainlist (crown)☺️)
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answers
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answers
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
There are four goldfish and six guppies in a fish tank. What is the ratio of the guppies to goldfish in the tank? Write your answer in simplest form if possible
Answers
Answer:
2:3
Step-by-step explanation:
4 goldfish
6 guppies
ratio sign is :
4:6
simplyfy
2:3
Answer:
2:3
Step-by-step explanation:
4:6 ratio simplified is 2:3
Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.
Answers
Answer:
L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money
Step-by-step explanation:
so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10
the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me
Answers
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?
Answers
Answer:
303 miles per hour
Step-by-step explanation:
s2=16, what is this?
Answers
Answer:
s= 4,-4
Step-by-step explanation:
31 divided by 943.89
Answers
Answer:
0.032
Step-by-step explanation:
Answer: 0.03284281007
Step-by-step explanation:
Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answers
Answer:
The answer is 60 and 80
Step-by-step explanation:
math
solve this pls lol
Answers
Answer:
The two triangles are related by congruent angles/similarity, so the triangles are similar.
Have an awesome day! :D
Find the sum of this problem.
Answers
Answer:
34
Step-by-step explanation:
i think
the value of 3 1/5 - 1 2/3 is?
please write the answer with sums and explanations
anyone with the correct answer will be given 10-20 points and will be marked as Brainliest
note: it's not 31 or 12 it's seperated
Answers
QUESTION :-
The value of 3 1/5 - 1 2/3ANSWER :-
[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]Take Lcm by the denominator ( check the pic )
[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]Now subtract this
[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-[tex] \frac{23}{15} [/tex]
=================================================
Answer:[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]
=================================================
Explanation/Solution:To solve the problem, let's find the LCM or Latest Common Multiple.
[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]
[tex] \rightarrow [/tex] LCM = 5 x 3 = 15
[tex] \\ [/tex]
Since the LCM is already finished let's solve for the both numerator and denominator.
[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]
Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.
[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]
Now its time to subtract.
[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]
Therefore, the answer is 1 8/15.
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[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER
Answers
Whats the question?......................
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
(I already went to the other question you posted, do not worry.)
- ❤ 7272033Alt ❤
I need right answer only please no link no bot
Answers
Answer:
[tex]972 \pi \: {in}^{3} [/tex]
Step-by-step explanation:
volume of container
[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]
82.1 / 7.8= What is the answer yall
Answers
Answer:
10.5
Step-by-step explanation:
Hope I helped please mark brainliest if I did and thanks! <3
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answers
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)
Answers
Answer:
C(x)=2400 - 80x
Step-by-step explanation:
since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x
At a birthday party, 20% of the guests wear glasses.
If there are 30 guests, how many wear glasses?
Answers
20x30=600
600/100=6
6 guests were wearing glasses
Answer:
if 100% =30 guests what about 20%=6%
(2m-3)(2m+3)(4m^2+9)
Answers
Answer:
16[tex]m^{4}[/tex]−81
Step-by-step explanation:
Hope this is correct and it helps :)
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
Answers
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
Answers
[tex]y = x^{3} + 2[/tex]
[tex]y = g(x) + c[/tex]
Here, [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.
The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.
Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].
To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.
Horizontal shift: None
Vertical shift: Up 1 units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
Therefore,
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
To learn more about the cubic function visit:
https://brainly.com/question/28051275.
#SPJ3
which number will reach if we move 6 steps to the right -3
Answers
Answer:
If you meant -3 + 6, then the correct answer is 3.
You should put some extra effort in composing questions with all the required information, like a picture maybe.
Answer:
your answer has to be 3
Step-by-step explanation:
if you were to move to the right in number line you have to add so -3+6 is equals to 3
The difference of twice a number and 8 is greater than 17.
Use the variable x for the unknown number.
Answers
For the difference of a number and 3, you should do b-3 and twice that would be 2(b-3). For this to be at most -23, the inequality would be ≤. Thus,
2(b-3)≤-23
is the answer.
Answer:
2x-8>17
2x>25
x>12.5
How can I divide 7.86 divide by 0.2
Answers
Answer:
39.3
Step-by-step explanation:
pa brainliest
= 393/10
= 39.3
Which sentence uses correct subject-verb agreement?
A. The river through our cities are polluted
B. Mountains in Colorado is beautiful.
C.The book about South American rivers is overdue.
D. The trees around our state is blooming.
Answers
Answer: C
Step-by-step explanation: the guy up top is correct:)
Will be giving brainliest! Have a good day and you’ll get through it !
Answers
Answer:
ok you to !!!!!!!!! good night!!
Step-by-step explanation: