Both lines are parallel because: A. both lines have a slope of 4/3.
What is the Slope of a Line?The slope of a line = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
The slope of parallel lines are the same, while the slope of perpendicular lines are negative reciprocals.
Slope of AB = 4 units/3 units = 4/3
Slope of CD = 4 units/3 units = 4/3
Both lines have the same slope, therefore, they are parallel to each other.
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I’m struggling to answer this can someone please help me I would highly appreciate it
Answer:
Not similar
Step-by-step explanation:
If you have scratch paper, its best to label the angles and sides given. You can also rotate the orientation of one of the triangles if that helps visually.
First lets look at the sides.
Notice the common factor between side AB and side XY.
14/7=2
Notice the common factor between side AC and side XZ.
22/11=2
So far so good right? Well, IF these triangles are similar, that means that angle X must correspond to angle A. Since corresponding angles of similar triangles are equal to each other, lets check of angle X is equal to angle A.
Angle X = 29 degrees
Angle A = 28 degrees
28 does not equal 29 degrees. Therefore, the triangles are not similar. If angles X and A were equal, than the triangles would have been similar due to the Side-Angle-Side rule (SAS).
Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answer: the answer is C
Step-by-step explanation:
Hi student, let me help you out! :)
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We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
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4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
Maria's car has a gas mileage of 31 miles per gallon. How many miles can Maria travel on 9 gallons of gas?
Answer:
279 miles
Step-by-step explanation:
31 miles/gal * 9 gallons = 279 miles
What is the answer to (2 * 6)^3/2?
Answer:
864
Step-by-step explanation:
First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!
4 divided by 5/7 in its mixed form and simplest form
[tex]4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}[/tex]
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
f(x) = |x| + 2f(x) = |-x| + 2If you want to learn more about absolute value functions:
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30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
Answer:
30 : (5 - 2 + 7) = 3Step-by-step explanation:
30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
30 : (5 - 2 + 7) = 3
30 : (3 + 7) = 3
30 : 10 = 3
3 = 3
A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.
If a can is chosen at random, find:
P (its volume is ≥382mL)
The probability that the volume of a can chosen at random is ≥382 is 0.47725
Normal distribution probabilityProbability is the likelihood or chance that an event will occur. For the given question, we need to calculate the z value as shown;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Given the following parameters
[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]
Substitute
[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]
In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)
z≥2 according to probability table is equivalent to 0.47725
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The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
Jewel spins the pointer of a spinner. the spinner has 7 equal-sized sections labeled 1 to 7. what is the probability that jewel will spin a 7?
The answer is one in seven or (1/7)!!!!!!!!!!!!!!!!!!!!!!!!!!!!
find the slope of the line
x-intercept is twice as y-intercept
Answer:
-1/2
Step-by-step explanation:
It mentions that the x-intercept is equal to twice the y-intercept.
=============================================================
Let :
⇒ x-intercept = (2a, 0)
⇒ y-intercept = (0, a)
==============================================================
Slope formula :
m = y₂ - y₁ / x₂ - x₁
=============================================================
Solving :
⇒ m = a - 0 / 0 - 2a
⇒ m = a / -2a
⇒ m = -1/2
annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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Which organisms reproduce through a...se...xu...al reproduction? (Select all that apply.)
starfish
yeast
fungi
bacteria
PICK MORE THAN ONE and no links please 1+1
Answer:
bacteria and fungi
Step-by-step explanation:
Single organism makes an exact copy of itself
Bacteria, some plants and fungi, few animals (sponges)
Offspring are identical to parent
Find the 24th term of the sequence:
11, 16, 21, . . .
Answer:
126
Step-by-step explanation:
The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).
So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5 x 1 [time])
To get from the first term (11) to third (21), we had to add 5 twice
(or, add 5 x2)
*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.
So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23
5 x 23 = 115
11 + 115 = 126
Making 126 the 24th term of the sequence
Which angle in the figure is a right angle?
A. ∠STU
B. ∠TSR
C. ∠TUS
D. I don't know.
Answer:
∠TUS I'm pretty sure because t and u make a right angle
Question 10 solve for me please
Answer: D.
Step-by-step explanation:
x + 3 > 2 Original equation
x > -1 Subtract 3 on both sides
Number line that has an open circle and on -1 that goes right = D.
1.1 How many grams of can of apple pie filling Chantel is going to use in the Apple (2) Cinnamon Cake.
The number of grams of canned apple that Chantel needs for her apple-cinnamon cake is about 1400 grams.
How to calculate the amount of canned apple that Chantel needs?To know the amount of canned apple that Chantel needs for her apple and cinnamon cake recipe, we must review the amount of apple that she needs for the filling of her cake.
According to the basic recipe to make this cake, we need 6 to 8 apples. Taking into account that each apple weighs about 200g, we can infer that Chantel is going to use about 1400g of canned apple as shown below.
On average we need 7 apples.
6 + 8 = 1414 ÷ 2 = 7Each apple weighs 200g, so 7 apples would be 1400g.
7 × 200g = 1400gBased on the above, Chantel needs 1400g of canned apple.
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Danny attempted to complete a 500 piece puzzle. By the end of the night, he places p pieces in the puzzle correctly, which expression shows how many more pieces he needs to add to the puzzle to complete it
The expression that shows how many more pieces he needs to add to the puzzle to complete it is 500 - p
How to determine the expression?The given parameters are:
Total = 500
Correct = p
The remaining piece is calculated using:
Total =Correct + Remaining
Substitute known values
p + Remaining = 500
Subtract p from both sides
Remaining = 500 - p
Hence, the expression is 500 - p
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Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
Please help me!
1. Determine whether the following table represents an exponential function. Explain why or why not.
X: 0, 1, 2, 3
Y: 12, 16, 32, 52
Does the table represent an exponential function? Why or why not?
A. No, all of the X values have a constant difference, but all of the Y values do not have a constant ratio
B. Yes, all of the X values have a constant ratio, but all of the Y values have a constant difference
C. No, all of the X values have a constant ratio, but all of the Y values do not have a constant difference.
D. Yes, all of the X values have a constant difference, and all of the Y values have a constant ratio
2. Determine whether the rule represents an exponential function. Explain why or why not.
Y=9x5^x
Choose the correct answer below
A. Since the independent variable X is the exponent, Y=9×5^x represents an exponential function
B. Since the independent variable X is not the base, Y=9×5^x does not represent an exponential function
C. Since the independent variable X is the base, Y=9×5^x does represent an exponential function
D. Since the independent variable X is not the exponent, Y=9×5^x does not represent an exponential function
3. A population of 55 foxes in a wildlife preserve quadrupled in size every 11 years. The function y=55x4^x, where X is the number of 11 year periods, models the population growth. How many foxes will there be after 22 years?
After 22 years there will be ____ foxes (type an whole number)
4. Since 2006, the amount of money spent that restaurant in a certain country has increased at a rate of 8% each year. in 2006, about $360 billion were spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2015.
About $______ billion will be spent at restaurants in 2015 if the trend continues.
5. A bird drops a stick to the ground from a height of 90 feet. The function h=-16t^2+90 gives the sticks approximate height H above the ground, in feet, after T seconds. Add about what time does the stick hit the ground?
The stick hits the ground at about _____ seconds. (Round to one decimal place as needed)
6. During halftime of a soccer game, a slingshot launches T-shirt at the crowd. A T-shirt is launch from a height of 3 feet with an initial upward velocity of 80 ft./s. Use the equation h(t) = -16t^2+80t+3, where t is time in seconds and h(t) is height. How long will it take the T-shirt to reach its maximum height? What is the maximum height?
The T-shirt takes _____ Second(s) to reach its maximum height. (type an integer or a decimal)
The T-shirts maximum height is_____ feet above the field. (type an integer or a decimal)
Please help me I really need to get this done today! I will give you everything I have!
Answer:
a
Step-by-step explanation:
how many whole weeks are in a year
Answer:
52 weeks are there in a year
Step-by-step explanation:
365/7
Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
By what percent will a fraction CHANGE(not increase!!) if it’s numerator is decreased by 60% and it’s denominator is decreased by 20%?
I am aware that it is a decrease, but not sure of how much it is a decrease by.
HELP ASAP!!
if i was i your class or in bigger class i will help you
A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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How do I know AM is congruent to segment CM?
Answer:
Because Rhomboids have adjacent sides that makes it equal, and also both sides have the same meeting point which is M.
Step-by-step explanation:
What is the value of x?
Kenji is using walnuts to bake muffins and granola for his restaurant. each batch of muffins
1
pound of walnuts. he needs 2 pounds of walnuts to make granola. kenji can use up
2
to 8 pounds of walnuts and still have enough for baking tomorrow.
uses
let b represent the number of batches of muffins kenji makes.
write an inequality that represents the situation.
Answer:
Step-by-step explanation:
1/2b + 2 ≤ 8
b ≤ 12
Answer:
Step-by-step explanation:
Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles
Answer:
Ans : A. Straight angle
Step-by-step explanation:
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Which of the following is not a triangle congruence theorem?
AAA
AAS
ASA
Answer:
A. (AAA)
Step-by-step explanation:
.....(AAA) "does not work because it can produce similar but not congruent triangles"
.....(AAS) "If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent."
.....(ASA)"triangles are congruent if any two angles and their included side are equal in the triangles."
Hope This Helped