4. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or postulate. Angle 1 is supplementary to angle 4. 9/11 v 1/5 2/6 10/12 b A 3/7 4 8 1 O || m by Converse of the Corresponding Angles postulate Oa || b by Converse of the Corresponding Angles Postulate Ollm by Converse of the Same-Side Exterior Angles Theorem Oa || b by Converse of the Same-Side Exterior Angles Theorem
Answers
Answer:
Option (4)
Step-by-step explanation:
It has been given in the question that angle 1 is supplementary to angle 4.
m∠1 + m∠4 = 180°
∠2 and ∠3 are the interior consecutive angles.
Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".
Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.
Option (4) will be the answer.
Related Questions
At her birthday party, Ms. Willow would not give her age directly. She said, 'If you add the year of my birth to this year, subtract the year of my 25th birthday and the year of my 55th birthday, and then add my present age, the result is 58.
Answers
Answer:
69 years
Step-by-step explanation:
Given that:
Let year of birth = x
This year = 2020
Year of 25th birthday = x + 25
Year of 55th birthday = x + 55
Present age = 2020 - x
Hence,
x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58
x + 2020 - (2x + 80) + (2020 - x) = 58
x + 2020 - 2x - 80 + 2020 - x = 58
-2x + 4040 - 80 = 58
-2x + 3960 = 58
-2x = 58 - 3960
-2x = - 3902
x = 1951
Birth year = 1951
,
Hence, age =
2020 - 1951 = 69 years
Are these lines parallel,
perpendicular, or neither?
Line 1 passes through (0,3) and (3,1)
Line 2 passes through (-1,4) and (-7,-5)
Answers
First, find the slope of each line by using the point slope formula [(y2-y1)/(x2-x1)]. You should get that the slope line 1 is -2/3 and the slope of line 2 is 3/2. Using this, we can conclude that both the lines are perpendicular because their slopes are opposite reciprocals (meaning you flip one fraction and change its sign to get the other fraction).
Can somebody answer ASAP!!!!!!
Answers
3^(4-9)
= 3^-5
Move the 3^-5 into the denominator and expand.
1 / 3^5
= 1 / 243
Your answers are (1 / 3^5) and 1/243.
The different of two numbers is 18
and the difference of six times
the larger number and two times
the smaller number is 156. Find the
two numbers
Answers
Answer:
Step-by-step explanation:
[
37 and 15
14=−2c−6−3c what is the value of c?
Answers
Answer:
C=-4 (I'm not sure why my negative symbols are not showing up properly, the answer is C equals a negative four.)
Step-by-step explanation:
14=-2c-6-3c
14=-5c-6
5c+14=-6
5c=-20
c=-4
A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning. A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.
Answers
Answer: Actual length of the bus = 171.67 feet
Width of the lake on the scale drawing = 12.5 inches
Step-by-step explanation:
Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.
i.e. 12 inch = 5 feet
[tex]\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}[/tex]
If length of school bus on scale drawing = 412 inches
Then, Actual length of bus = [tex]\dfrac{5}{12}\times412=171.67\ \text{feet}[/tex]
A scale drawing of a lake has a scale of 1 cm to 80 m.
If the actual width of the lake is 1,000 m
then, the width of the lake on the scale drawing = [tex]\dfrac{1000}{80}=12.5\text{ inches}[/tex]
Solve this equation. Enter your answer in the box. 1/3 (y+7)=3(y−1)
Answers
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
16=8y
2=y
What is the formula of the compound formed from Cobalt(lll) and lodine?
Answers
Answer:
Cobalt (III) iodide CoI₃
Step-by-step explanation:
The name of the compound formed between Cobalt(III) and Iodine is known as Cobalt (III) Iodide.
The Iodide ion gains three electrons from the cobaltThey both an electrovalent compound when they react.This compound is soluble in water due to the ionic bonds. Cobalt is a transition metal found in the d- blockIodide is a halogen that belongs to group 7.is the perpendicular bisector of a line a line segment also an angle bisector
Answers
Answer:
no
Step-by-step explanation:
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
O 2x + y = 20
O y-2x = 4
O y-2x = 20
O 2x + y = 4
Answers
Answer:
2x + y = 20
Step-by-step explanation:
gradient = -2
x = 6, y = 8
y - 8 = -2(x - 6)
y - 8 = -2x + 12
2x + y = 12 + 8
2x + y = 20
Answer:
2x + y = 20Step-by-step explanation:
hope that will help youHelp Needed !Find The Measure Of The Indicated Angle
Answers
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Add the two angles
80+50=130
The total degree of a triangle is 180 so subtract
180-130=50
(its also an isosceles triangle)
how do you solve distributive properties ?? and pre algebraic expressions/equations i have a test over it all and i'm in 7th grade plz help ASAP
Answers
Answer:
I was totally in your shoes then..
Step-by-step explanation:
Watch Fort Bend Tutoring on YT, he got me through those math problems...I can assure it will help, and he makes Math fun
Factor and Solve.
x^4+7x^2+10=0
Answers
Answer:
second one
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
x^4+7x^2+10=2
use the quadratic formula
hope this helps
brainliest?
For a data set of weights? (pounds) and highway fuel consumption amounts? (mpg) of eight types of? automobile, the linear correlation coefficient is found and the? P-value is 0.001. Write a statement that interprets the? P-value and includes a conclusion about linear correlation.The? P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing?%, which is ? low, high, so there ? is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles
Answers
Answer:
The correct option is;
Low
Step-by-step explanation:
Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low
From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation is very low.
Using the table below, what is Esmeralda's take-home pay?
Answers
Answer:
?
Step-by-step explanation:
we cant anseer inless u give us the question
Answer:
40,260
Step-by-step explanation: cus i said so
58 (6x+2)
Find the value x
Answers
(6x+2)=58
-2+6x=58
-2+2+6x=58+2
6x=58+2
58+2=6x
6x divided by 60
And this is your Final Answer
X=10
Write an equation of the line with the given slope and y-intercept. slope: -7 y-intercept: 2
Answers
Answer:
y= -7x+2
Step-by-step explanation:
Answer:
y = -7x + 2
Step-by-step explanation:
The y-intercept is 2. The slope is x which is -7.
Write the equation now.
-7x + 2.
~I hope I helped you! :)~
how far is the points (5,3) from the origin?
Answers
Answer:
origin 0.0
Step-by-step explanation:
then difference u ccan find
What is the answer?
A. B. C. or D?
Answers
Answer: I believe it is either B or D because it uses rotation!
Step-by-step explanation:
What is the range of the function shown on the graph above ?
Answers
Ummm...person...you do know we need to see the graph, not the answers, right?
Answer:
Step-by-step explanation:
It's the-9 one
Solve by factoring:
x² – 5x - 14=0
O A. x = 7,X = -2
B. x = -7, x = 2
O C. x = -1, x = 14
O D. x=-14, x = 1
Answer ASAP!
Answers
Answer:
A
Step-by-step explanation:
Given
x² - 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are - 7 and + 2, since
- 7 × 2 = - 14 and - 7 + 2 = - 5, thus
(x - 7)(x + 2) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
Answer:
A. x=-7, x=2
Step-by-step explanation:
the cost, c(x) for a taxi ride is given by c(x) = 3x + 2.00 where x is the number of minutes.
on a piece of paper, graph c(x) = 3x + 2.00. then determine which answer matches the graph you drew, including the correct axis labels.
Answers
Answer:
C
Step-by-step explanation:
Because its a cost vs minutes graph, and it starts at (0,2) and goes to (1,5)
Answer:A
Step-by-step explanation:
What is the slope of the line graph?
Answers
Answer:
The slope of the line graph is (12,-6)
Step-by-step explanation:
If you start at the bottom point and go up you will count 12. Then, if you go 0ver until you get to the top point you will count 6. Since you are going back, it would be a -6.
fastest land animal in the world answers
Answers
Answer:
Cheetah
Step-by-step explanation:
The cheetah or the Acinonyx jubatus can run up to 50 - 80 mph on land
Brainliest?
What’s is the answer for 9-(-3)
Answers
Answer:
negative times A negative is a positive so your answer is 27
Step-by-step explanation:
— 3х - 6 +(-1)
Helpp
Can anybody help me?
Answers
Answer:
[tex] - 3x - 5[/tex]
it should be this answer bcause it has been simplified
what is –29 + 30 i need help please!!!
Answers
Answer:
1
Step-by-step explanation:
a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)
Take away negative 30 from -29 and you get 1.
Can someone please help me on the question that i asked ???? pleases will mark brainleist
Answers
Answer:
2.75
Step-by-step explanation:
(3/4) / (1/3)
(3/4) * 3 = 9/4 = 2 1/4
Write an equation of the line passing through the points (3,8) and (-2,-22)
Answers
Answer:
y=6x+8 or y=6x-22
Step-by-step explanation:
use the equation y=mx+b
m is the slope and b is the y-intercept
to find the slope use the equation m = y2-y1 over x2-x1
-22 - 8 / -2 - 3 = -30 / -5 = 6
6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.
HOPE THIS HELPS!!
x−1.2=3 i dont understand this stupid math problem
Answers
Answer: If you have to solve for X the answer is x=4.2
Step-by-step explanation: