Which of the following statements are true?
The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair.
The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles.
The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles.
O The Day Care and the Park are on the same side of the transversal and form a linear pair.
The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles.
The Park and the Museum are adjacent angles and form a vertical pair of angles.
The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal.
Answers
Answer:
*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles
*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal
Step-by-step explanation:
The transversal is the major road that crosses the other two roads shown in the diagram above.
Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:
Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."
The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.
Statement is NOT TRUE.
Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."
This statement is TRUE.
The Museum and the Coffee shop form alternate exterior angles pair.
Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."
This is NOT TRUE.
They are all EXTERIOR angles.
Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."
This is NOT TRUE.
They are consecutive interior angles.
Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."
This is TRUE.
Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"
This is NOT TRUE.
They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.
Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."
This is NOT TRUE.
They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.
Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."
This is TRUE.
Related Questions
how many quarts are there in 20 pints
Answers
Answer:
Since 1 quart is 2 pints, there are 10 pints in 20 quarts.
Step-by-step explanation:
Answer:
There are 10 quarts in 20 pints
Step-by-step explanation:
1 pint is equal to 0.5 quarts, So if you multiply 0.5 by 20, you get 10.
A pair of boots costs $130. They are
on sale for $110.50. Find the percent
of change?
Answers
Answer:
15% off
Step-by-step explanation:
mark brainliest please
There were 150 total movies at the store. They sold 70% of their stock. How many did they se
Answers
Answer:
They sold 105 movies.
Step-by-step explanation:
70÷100×150
= 0.7×150
= 105
Hope it helps :)
3. What is the slope of 3y - 4x = 12?
Answers
Answer: (3,0)
Step-by-step explanation: x=0
3y=12
divide both sides by 3 you get
y=4 now you have y axis ( equation x=0) at the point its (0,4)
but if you put y=0 then you get
4x=12
and then x=3
so i think the answer is (3,0)
I hope this helped :)
What is
1
,
318
×
27
?
Answers
Answer:
1,8586
Step-by-step explanation:
X+y=6 in slope intercept form
Answers
Y = -x + 6
please help me solve this problem.. Piecewise Functions
Answers
Answer:
There is No solution to the question above.
Answer:
103
Step-by-step explanation:
Since x= 10, we need to use the second piece of the function x^2+3
f(x) = x^2 +3
Let x=10
f(10) = 10^2 +3
= 100 +3
= 103
What is the least common multiple of 14 and 24?
Answers
Answer:
168
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
24*7=168
14*12=168
can you divide 2 by 9 explain your response
Answers
Answer: Yes you can but it would be the same as dividing 10 by 3, it would just be a repeating fraction
Answer:
I can’t divide 2 by 9 because the number 9 is greater than 2. In other words, there are no 9s in 2
Step-by-step explanation:
Perform the indicated operation.
Let C =[1
-3 and D= [-1
2] 3
-2
Find C - 4D.
Answers
Answer:
Cinema 4d
Step-by-step explanation:
Suppose the population of a certain city is 4903 thousand. It expects to decrease to 4113 thousand in 50 years. Find the percentage decrease
Answers
Answer:
(3175-4035)/(4035)= -.213 so a 21.3% decrease
Step-by-step explanation:
wish I helped good luck mate
divide (2x^2-5x-3) by (x-3)
Answers
Answer:
2x + 1
Step-by-step explanation:
Answer:
The expression simplifies to [tex]2x+1[/tex]
Step-by-step explanation:
To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial. Factoring [tex]2x^2-5x-3[/tex] results in the expression [tex](x-3)(2x+1)[/tex]. Since these two values are multiplied, the [tex](x-3)[/tex] can be canceled out by the divisor, which is the exact same expression. This leaves us with our final answer: [tex]2x+1[/tex].
0.11+12.74(x+3)=0.08+13.49
Answers
Answer:
x = 2.210526316
Step-by-step explanation:
Answer:
[tex]x = −1.9434851[/tex]
Step-by-step explanation:
[tex]0.11 +1 2.74(x + 3) = 0.08 + 13.49 \\ 0.11 + 12.74x + 38.22 = 0.08 + 13.49 \\ 12.74x + 38.33 = 13.57 \\ 12.74x = 13.57 - 38.33 \\ 12.74x = −24.76 \\ \frac{12.74x}{12.74} = \frac{ - 24.76}{12.74} \\ x = −1.9434851[/tex]
Jacob's hourly salary is $11.00. If Jacob works more than 40 hours a week, then Jacob gets overtime pay at 1 and 1/2 times the regular hourly rate for each hour worked over 40 hours. Last week, Jacob worked 49 hours. What was the total pay last week?
Answers
Answer:
588.50
Step-by-step explanation:
11.00 x 40 = 440
16.50 x 9 = 148.5
An electrician charges a base fee of $65 plus $50 for each hour of work. The minimum the electrician charges is $165. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
P.S The range values are repeated. So it's a total of 3 range values, and 1 is repeated.
Answers
Is there more information so that I solve?
Domain: hours worked
Domain Values: 1,2,3,4
Range: dollars charged
Range Values: 165, 215, 265
The relation is a function. Each domain value is paired with exactly one range value.
The present age of ken and tammy are in the ratio of 2:5. In 6 years from now the ages will be in the ratio of 4:7. What are their present ages?
Answers
Answer:
Step-by-step explanation:
k=2
t=5
2+6=4 6=2 1=3
2=6
5=15
Now their ages are 6:15
Marcos sells video games that he purchases from a distributor. He buys
each game for $30. If there is a 60% markup, calculate the markup and
selling price.
Answers
Answer:
the mark up would be $18. so the total sales price would be $48.
Step-by-step explanation:
Luke has a board 5/6 of a yard long. He needs to cut the board into 5 equal sections.
Use the expression ____ to find the length of each section.
Each section is ___ yard long.
First person to answer gets 50 brainiest points!
Please I NEED this!!!
Answers
Answer:
the answer is 5/6 divided by 5 and 1/6
Step-by-step explanation:
Answer:
the answer is 5/6 divided by 5 and 1/6
Alison’s age is 16 more than half of Sam’s age. Using S to represent Sam’s age, write an expression that represents Alison’s age
Answers
Answer:
(s/2)+16=Alison's age
Step-by-step explanation:
Answer:
1/2S + 16.
Step-by-step explanation:
A hoodie that regularly costs $50 is on sale for $38.
What is the percent decrease in the price of the hoodie?
Answers
Answer:
76%
Step-by-step explanation:
38 multiplied by 100 = 3,800
3,800 divided by 50 = 76
Therefore the answer is 76%
Which statement best describes the rate of change for this situation
Answers
Compute the estimated regression's prediction for the average score of students given 98, 129, or 159 minutes to complete the exam.
Given 98 minutes, the estimated regression's prediction for the average score of students is 91.94 .
Given 129 minutes, the estimated regression's prediction for the average score of students is 108.37
Given 159 minutes, the estimated regression's prediction for the average score of students is 124.27 (Round your responses to two decimal places.)
Compute the estimated gain in score for a student who is given an additional 32 minutes on the exam.
The estimated gain in score for a student who is given an additional 32 minutes on the exam is (Round your response to two decimal places.)
Answers
Answer:
The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
Step-by-step explanation:
The estimated regression prediction is given by:
[tex]\hat{y}=40+0.53x[/tex]
Where x denotes the time
y denotes the average score
A)
Substitute x = 98
[tex]\hat{y}=40+0.53(98) = 91.94[/tex]
B)
Substitute x = 129
[tex]\hat{y}=40+0.53(129) = 108.37[/tex]
C)
Substitute x = 159
[tex]\hat{y}=40+0.53(159) = 124.27[/tex]
D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.
[tex]\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96[/tex]
So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
me pueden explicar las sumas y restas con punto decimal por favor
Answers
Answer:
Para sumar o restar decimales se colocan los números decimales uno debajo del otro, haciendo que coincidan las unidades en la misma columna. De esta manera, también tienen que coincidir las décimas, las centésimas… y la coma.
Step-by-step explanation:
Find the value of x for which m\\n
Answers
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.
Can y’all help plz hurry
1.34x=4.02
2x-5=1
Answers
Answer:
So the second one is 3
The first one is 3
Step-by-step explanation:
You just divide the first one 4.02/1.34
The second one
1) 2x-5=1
2) add 5 on to both sides= 6
3) divide 2 by 6 = 3
What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m
Answers
Complete the multiplication table
Answers
Answer:
the top empty box is 5 the second down box is 4 the box under 6 is 8
Step-by-step explanation:
x 5 4 2
4 20 16. 8
6 30 24. 12
8. 40. 32. 16
During the 2017 Major League Baseball season, the Detroit Tigers played 162 games . They lost 34 more games than they won. What was the teams win-loss record? Help me please .
Answers
Answer:
win: 64
loss: 98
Step-by-step explanation:
win: x
loss: x + 34
win + loss = total games
x + x + 34 = 162
2x + 34 = 162
2x = 128
x = 64
win: 64
loss: (64) + 34 = 98
A radio station requires DJs to play 2 commercials for every 14 songs they play. What is the unit rate of songs to commercials? songs The unit rate is 1 commercial
Answers
The correct answer for this question is that the unit rate is 5:1. We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
I need help please! The one from mr.squarepants pls it’s due today !!!
Answers
Answer:
He needs to work 8.25 hours more.
Step-by-step explanation:
2.25 + 3.50 (3 1/2) - 5.75
5.75 + 6 = 11.75
20 - 11.75 = 8.25
Answer:
8.25 more hours.
Step-by-step explanation:
2.25+3 1/2+6=11.75
Then:
20-11.75=8.25