Given: y || 2
Prove: m5+ m2+ m6 = 180°
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A
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1 1
23
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4
5
6 7 z
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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
what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45
k12
Answers
(-4x2x0.8-3)=-9.4
-9.4/10=-0.94
-0.94x-45=42.3
Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.
Answers
The amount that Kim Barney spends is $342 for medical expenses.
What is buying cost?Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)
here, we have,
Given that,
Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00
To find : The amount that Kim barney spends for the medical expenses.
If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.
10% of 1710 is 171
171x8=1368
The insurance provider covers the $1368.
Kim Barney spends $342.
Consequently, Kim Barney spends the following amount on medical costs $342.
To learn more about the cost click here:
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The quotient of b and -6 is 18
Answers
The quotient is the result obtained by dividing one quantity by another.
This means that b/-6 = 18
b = 18*-6
b = -108
Answer:
b = -108
Step-by-step explanation:
Given the mathematical expression, "The quotient of b and -6 is 18":
We could represent the given mathematical expression as follows:
b ÷ -6 = 18 or [tex]\frac{b}{-6} = 18[/tex] .
In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:
[tex]\frac{b}{-6} = 18[/tex]
[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]
b = -108
In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:
[tex]\frac{-108}{-6} = 18[/tex]
18 = 18 (True statement).
The value of b = -108, hence, the quotient of -108 and -6 is 18.
Fill in the missing
numbers?
?•(-10) = 90
Answers
Answer:
?=-9
Step-by-step explanation:
A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90
please answer fully ?/'//////////////////////
Answers
Answer:
(saving my answer for the question)
what is the problem?
Step-by-step explanation:
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answers
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
HELP PLEASE NO LINKS!!!
Answers
Answer:
D. 1/(3^8)
Step-by-step explanation:
^^^This is the answer
cuanto es 3/5 menos 1/2
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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
convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest
Answers
25 cups = 200 ounces
200 ounces divided by 8 ounces = 25 cups
Solve the following of:
11/15 × 7/8 ÷ 3/4
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Answer:
Well following the order of operations
You just do this from left to right
11/15* 7/8 = 77/120
77/120 ÷ 3/4
or
77/120 * 4/3
77/90 (simplified)
77/90 is the answer
PLZ HELP ASAP! WILL MARK BRAINLY
Answers
Step-by-step explanation:
42 5/9 + 7 1/12 = 49 23/36 metres
it is to be added because one ant is at the top and the other is deep below
An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Answers
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]
A similar problem is given at https://brainly.com/question/24483829
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (2, -1) and (6, -9).
Answers
Answer:
x-2=y+1
Step-by-step explanation:
here is ur answer
What is 64 minutes as mixed number? (i'm pretty sure it might be
[tex]1 \frac{?}{?} [/tex]
but i don't know)
Answers
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
What is the area of the figure below?
16 square units
14 square units
10 square units
12 square units
Answers
How do you get this answer?
start by counting the boxes there’s a total of six in the first rectangle and 6 on the other so 6+6= 12!!!
Just count the boxes and that’s it:)
geometry help on 34 please
Answers
Answer:
x=112, y=28, z=22
Step-by-step explanation:
68°+4y°=180° (adj angles on a str line)
4y=180-68
=112
y=112÷4
=28
x°+68°=180° (int angles)
x=180-68
=112
(5z+2)°=x° (corr angles)
5z+2=x
5z+2=112
5z=112-2
=110
z=110÷5
=22
Factor the following expression. x^2+9x+8
Answers
Answer:
(x+1)(x+8)
Step-by-step explanation:
I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.
Does "greater than" sign and "not equal to" sign denote the same thing?
Answers
Hello!
The "greater than sign" means one number is greater than the other.
Example: 4>2 (4 is greater than 2)
The "not equal to sign" means one number is not equal to another one.
Example: 15[tex]\neq[/tex]17 (15 is not equal to 17)
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
no they dont
greater than sign denotes that the first digit is greater than the other digit
Create polynomial functions using the given information:
A degree 9 polynomial with at max 5 positive zeros and at max 3 negative zeros
Answers
It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :
X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X
This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5
And it has 3 negative zeros : - 1, -1, - 3
And it has 0 as a zero too.
There is also this one :
(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144
It has 4 positive zeros : 1, 2, 3, 4.
It has complex zeros : i and - i
3 negative zeros : - 1, - 2 , - 3
Good Luck
The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent
Answers
Answer:
The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.
Step-by-step explanation:
Firstly, make all ratios into units:
Let Ronny = 4 units, Doug = 5 units,
Ronald = 8 units, Total = $3723
4 units + 5 units + 8 units = 17 units
17 units = $3723
1 unit = $3723 ÷ 17
1 unit = $219
Given that 1 unit is equals to $219. Let find the amounts:
Ronny = 4 × 219 = $876
Doug = 5 × 219 = $1095
Ronald = 8 × 219 = $1752
Does the angle have to be
Answers
Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
what is the value of x in the solution to the system
x+y=10
x-y=4
Answers
Answer:
x = 7; y = 3
Step-by-step explanation:
I used the Trial and Error Method and found that x = 7 and y = 3
=> 7 + 3 = 10
=> 10 = 10. ✔
=> 7 - 3 = 4
=> 4 = 4. ✔
Therefore, x = 7 and y = 3
Hoped this helped.
There are 2 pigs, 3 chickens, 4 cows and 5 ducks on a farm. If the farmer wants 3 animals
for a play but only needs one two-legged animal, how many ways can he choose the three animals?
Answers
Answer:
6 ways
Step-by-step explanation:
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
The farmer can choose the animal in 6 ways as per different combinations.
Solution to the above problem
The different combinations can be written as follows:
nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time
Since we want 3 animals we can make different pairs as listed below
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
To learn more about combinations refer to:
https://brainly.com/question/28065038
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Please take a look at the picture for question
Answers
hope i made your day
write the domain and rang of h using interval notation
Answers
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
Is the slope y=4/3x+2
(Just double checking) :)
(For linear equations)
Answers
Answer:
Yes it is 4/3
Step-by-step explanation:
Which of the following is a solution to the system of two equations y = 3x – 1 and y = 2x + 3?
please
Answers
equation form: x=4 y=11
plz help anyone i really need this.....
Answers
Answer:
a) single replacement
b)decomposition
Step-by-step explanation:
a) im not so sure but pretty sure its tight
b) decomposition requires energy so therefore can only be this
help plz we this work
Answers
So it would be 35/100 or 35%
ANSWER: 35%
C plus 3/8 equals 1 1/3 what does C equal
ASAP
Answers
Answer:
Exact Form:
C=23/24
Decimal Form:
C=0.9583
Step-by-step explanation:
