Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
Answers
Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:
[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].
Kindly refer to the attached image for details of the given angles and lines.
Proof that [tex]\angle q\cong \angle s[/tex] :
[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]
Here, subtraction property of equality is used in the last step shown in the above.
As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer:
C
Step-by-step explanation:
Because I am a genius
Related Questions
Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
Answers
Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".
What is the equivalent function for a picture xcm by xcm?
A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x
Answers
Answer:
A f3(x)=f2(f1(x))=1.2x+2
Step-by-step explanation:
The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x
Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.
So F2(x') = x" = x' + 2 = F1(x) + 2
F2(F1(x)) = x' + 2 = 1.2x + 2
F3(x) = F2(F1(x)) = 1.2x + 2
F3(x) = 1.2x + 2.
So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) = 1.2x + 2.
−2(−x+4) − 3x+2= −5 what is x?
TO WHOEVER ANSWERS AND HAS BEST EXPLANATION YOU WILL GET BRAINLY
Answers
Answer:-1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(−x+4)−3x+2=−5
(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)
2x+−8+−3x+2=−5
(2x+−3x)+(−8+2)=−5(Combine Like Terms)
−x+−6=−5
−x−6=−5
Step 2: Add 6 to both sides.
−x−6+6=−5+6
−x=1
Step 3: Divide both sides by -1.
−x −1 = 1 −1 /x=−1
Answer:
x=−1
Determine the transformations that produce the graph of the functions g(x)=0.2log(x+14)+10 and h(x)=5log(x+14)−10 from the parent function f(x)=logx. Then compare the similarities and differences between the two functions, including the domain and range.
Answers
Let's focus on g(x) for now.
0.2 = 1/5
f(x) = log(x) is the parent function
0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5
0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left
0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up
g(x) = 0.2*log(x+14)+10
The transformations to go from f(x) to g(x) are:
vertical compression by factor of 5shift 14 units to the leftshift 10 units upThe domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)
======================================================
Now onto h(x)
f(x) = log(x)
5f(x) = 5log(x) .... vertical stretch by factor of 5
5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier
5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down
h(x) = 5log(x+14)-10
The transformations to go from f(x) to h(x) are:
vertical stretch by factor of 5shift 14 units to the left (same as g(x))shift 10 units down (instead of up compared to g(x))This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.
The range of f(x), g(x) and h(x) is the set of all real numbers.
What are the roots of the quadratic equation y= x^2 - 10 x + 125
Answers
Answer:the roots is 2 10 and 125
Step-by-step explanation:used a caculator
Answer:
for me the answer is a but the root is x=5+10i
Step-by-step explanation:
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answers
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5.5) = (x_1, y_1) [/tex]
[tex] (8, 8) = (x_2, y_2) [/tex]
[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]
[tex] m = \frac{2.5}{5} [/tex]
[tex] m = 0.5 [/tex]
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
For more details, refer to the link:
https://brainly.com/question/18896190
The machine runs 10 hours a day for 5 days a week. How many gallons of yogurt are processed each week?
Answers
Answer:
30 gallons
Step-by-step explanation:
if it fills up 1600 tubs an hour then the answer should be 30 gallons.
sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.
Answers
Answer:
The correct answer would be 18 which means that the decimal is in the wrong spot.
Step-by-step explanation:
Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.
Answers
Yall pray for me I'm doing a huge math test
Answers
Answer:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Step-by-step explanation:
plz answer
Answer:
OK
Step-by-step explanation:
What type of math geometry? Algebra?
11a − 2a = 9 what does a=
Answers
Answer:
a=1
Step-by-step explanation:hhqhhahehh
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answers
Answer:
Step-by-step explanation:
Charlie bought hamburgers today and drinks for his friends. Each burger cost $3.75 and each drink cost .50 cents. In total Charlie paid $25.50 for his order. Write an equation that represents the number of burgers he bought,h, and the number of drinks he bought ,d.
Answers
Answer:
3.75h + 0.5d = 25.50
Step-by-step explanation:
Let 'h' represent the number of hamburger.
Let 'd' represent the number drink.
From the question given:
We were told that a hamburger (h) cost $ 3.75.
Therefore, h number hamburger will cost = h × 3.75 = 3.75h
Also, we were told that a drink cost 0.50 cent.
Therefore, d number of drink will cost = d × 0.5 = 0.5d
In total Charlie paid $25.50 for his order i.e
Total cost of hamburger + total cost of drink = 25.50
Total cost of hamburger = 3.75h
Total cost of drink = 0.5d
3.75h + 0.5d = 25.50
Thus, the equation representing the number of hamburgers (h) and the number of drinks (d) that Charlie bought is given as:
3.75h + 0.5d = 25.50
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answers
Answer:
-3+8i
Step-by-step explanation:
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answers
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
I'm soooo freakin' bad at math bruh....someone please help :/
28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?
a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7
29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?
a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes
30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.
a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.
Answers
29. B (12 nickels, 9 dimes) 60+90
30. C (width=3 in) (length=12 in) (3)(12)=36in^2
Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?
Answers
Answer:
8.1 x 8.95 = 72.495
Step-by-step explanation:
Feet x $f = $$$
what is the value for y in the follower expression
When x= 14
Y=2x+5
Answers
Answer:9-8Step-by-step explanation:
It would look like y=2(14)+5
2 times 14 equals 28
Y=28+5
Y=33
Awnser is:33
the solution of equation x × 3=0 is
Answers
Answer:
x=0
Step-by-step explanation:
Regroup terms:
3x=0
Divide both sides by 3:
3x divided by 3 = x
0 divided by 3 = 0
x=0
plz help i dont know the answer
Answers
Answer:
Im not 100 percent sure but I think you have to do this
Step-by-step explanation:
Add all numbers together to find total students
Then add the students in Chemistry and Physics and both together
Then find what that number is in percent to the total students
A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second. The elevator for the miners descends 13 feet per second. One day the equipment elevator begins to descend. After 18 seconds the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that time, which elevator is deeper?
Answers
Answer:
The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.
Step-by-step explanation:
The rate that both elevators descend are the same according to the information given in the question.
After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.
After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.
So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.
I hope this answer helps.
What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answers
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ2
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answers
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
6 2/3 * -4 1/5 i really need help
Answers
Answer:
-28
Step-by-step explanation:
6 2/3*-4 1/5=
20/3*-21/5=
4/3*-21/1=
4/1*-7/1=
-28
If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all
Answers
Answer:
gbklkijgggddfhokjvhjk
Anybody Need help!? I'm on here for 1 more hour! :)
Answers
Answer:
i need help on this
What are some other things that have been engineered to help people deal with the effects of gravity?
Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.
Like- I've been stuck for an hour
which line is perpendicular to a line that has a slope of 1/2
Answers
Answer:
It’s line AB
Step-by-step explanation:
The equation for like AB is y=1/2x+0 and is perpendicular to HJ
How many 9-inch ribbons can be cut from 112yards of ribbon? show work
Answers
Answer:
448 ribbons
Step-by-step explanation:
in order to find this, you need to convert the yards into inches. there are 36 inches is a yard (a yard is 3 feet and one foot is 12 inches ) so you would multiply 112 and 36 to find the total number of inches it woulde be. 112x36=4,032. Now that you know the total number of inches, divide it by 9 to find the total number of ribbions you can make.
4,032/9= 448
so you could make a total of 448 ribbons
Answer:
12.4
Step-by-step explanation:
Do 112 divided by 9
help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5
Answers
-2/3, -1/4, 1/3, 2/5
Things to keep in mind
Negatives are always the smallest.
Find a common denominator after sorting negatives and positives.
Which sequence of transformations will generate triangle A'B'C' from triangle ABC?
Answers
Answer:
C !!
when u reflect it the point "C" will be on -1,-1 and when u move it to the right two units it'll end up at point 1,1 matching it with point C'
explation