A classmate said that ab is parallel to dc based on the diagram below. Explain your classmate's error.

Answers

Answer 1

For AB to be parallel to DC based on the diagram, angle AWZ must be equal to angle WZY.

But in the diagram shown, angle AWZ is equal to angle XYC and we are not told that WZ is parallel to XY.

Therefore his error is that he misapplied the alternate angle property.

Related Questions

A newborn baby gained 9/16 of a pound in 1/4 of a month. What was the baby's growth rate in pounds per month?

Answers

The answer is 2 1/4 because you're trying to find the unit rate.
9/16 1
------- = -------
1/4 x
You cross multiply
9/16x = 1(1/4)
And solve for x, which gets you to two and a fourth.

What is 89-99•99-102

Answers

Greetings!

Follow PEDMAS:
Parenthesis
Exponents
Division/Multiplication
Addition/Subtraction

[tex]89-99*99-102[/tex]
Multiply 99*99.
[tex]89-9801-102[/tex]
Subtract from Left to Right.
[tex]-9712-102[/tex]
The Answer Is:
[tex]-9814[/tex]

Hope this helps.
-Benjamin

Answer:

-9814

Step-by-step explanation:

P.E.M=D.A=S- The order of operations

P.erenthisis

E.xponent

M.ultiplication

D.ivision

A.ddition

S.ubtraction

first multiplication, -99•99, = -9801

now we work left to right, as subtraction is the same step as subtraction.

89-9801=9712

-9712-102=-9814

soppose 8 out of every 20 students are absent from school less than 5days a year.predict how many students would be absent from school less than five days a year out of 40,000 students

Answers

All you need to do is set up simple fractions and cross multiply. the fractions are 8/20 and x/40000 you cross multiply to get 20x=320,000. you finally divide 20 on both sides to get 16000 students.

Hope this helps :)
Please mark my answer as the brainiest if you feel I've given you the best help :)

Svester rectangular gradeb is 28 m long and has an area of 392m what is the width of the garden

Answers

392/28 is 14, so the width of the garden would be 14 meters.

A black tailed jack rabbit hops about 7 feet in a single hop. How far can it hop on 5 seconds?

Answers

35 feet because that’s what 7x5 is

35, because 7 times 5 equals 35.

the probability of picking a red marble from a bag of 30 marbles is 1/5. how many blue marbles must be removed from the bag to increase the probability to 1/4

Answers

Final answer:

To increase the probability from 1/5 to 1/4, we need to remove 24 blue marbles from the bag.

Explanation:

To increase the probability from 1/5 to 1/4, we need to find the number of blue marbles that need to be removed. Let's assume there are x blue marbles in the bag. Initially, the total number of marbles in the bag is 30, and the probability of picking a red marble is 1/5. This means that (30 - x)/30 = 1/5. Solving this equation, we get x = 24. Therefore, 24 blue marbles need to be removed from the bag to increase the probability to 1/4.

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Final answer:

Because the initial probability of picking a red marble from 30 marbles is 1/5, there are 6 red marbles in the bag. If we want to increase the probability of drawing a red marble to be 1/4, we need to reduce the total number of marbles in the bag to 24. So, we must remove 6 non-red marbles, which could be blue.

Explanation:

The subject of your question is probability in Mathematics. Initially, we have 30 marbles, and the probability of picking a red one is 1/5. So, there are 1/5 * 30 = 6 red marbles in the bag. Thus, the bag also contains 24 non-red marbles, which can be blue or other colors.

Next, we want the probability of picking a red marble to be 1/4. Since the number of red marbles will remain the same, we need to change the total number of marbles in the bag. If 'x' is the number of marbles in the bag, then 6/x = 1/4, which means x = 24. Since initially we had 30, to get to 24 we need to remove 6 marbles.

Therefore, if we remove 6 blue marbles (or any non-red marbles), the probability of picking a red marble will increase to 1/4.

Learn more about Probability here:

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3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items? (a) Write an equation. Let x represent the cost of one of Tanya's items. (b) Solve the equation. Show your work. (c) Check your solution. Show your work. (d) State the solution in complete sentences. Answer:

Answers

3x = 4(x-2.25)

3x = 4x-9

add 9 to both sides

3x+9 =4x

subtract 3 x from each side

x=9

Tonya's items were $9 each

Tony's items were 9-2.25 = 6.75 each

check:

9*3=27

4 *6.75 = 27

I don’t understand how to do this, someone please help :)

Solve for y

Answers

| 2 | is absolute value, which means you turn the number inside to positive, which it already is. Because there is a negative symbol on the OUTSIDE of the lines, the 2 becomes a -2.

y = -2 + 10

-2 + 10 = 8

y = 8

Please help me with this problem: Simplify -7 and the square root of 2.

Answers

-7 is already simplified, and the square root of two is 4

Both -7 and the square root of 2 are already simplified because both are prime numbers with factors consisting of 1 and itself.

Which is the best example of a number written in scienific notations?

A) .5 x 10^5
B) .1254
C) 5.367 x 10^-3
D) 12.5 x 10^2

Answers

C is the best example

If 60 equals twice a number added to itself, find the number.

Answers

Okay. 60 equals twice the number added to itself. That would be 30, because 60 is twice of 30 and 30 added to itself is 60. The number is 30.

What is the sum of the two largest numbers in the list 1/3,2/7,3/10,4/13,5/17 Express your answer in simplest form.

Answers

2 largest number is 1/3 and 4/13
1/3 + 4/13 = 25/39

At the rate of $7.22 how much will Whitney eat in 40 hours

Answers

Let h = how much in 40 hours

h = 7.22(40)

You finish.

$288.80 HOPE IT HELPS

What is x? 3x+4y=70 and 8x-3y=9

Answers

I am pretty sure x is 6

the foundation of a house sinking 5 inches positing or negative

Answers

It is sinking, so it is going down.
In a number line, going down is negative

your answer is -5 inch

hope this helps

can you graph the equation?

Answers

yes. when x=1, y=.5. so basically just divide x by 2, then find where it is on the y- coordinate, and graph where it meets

Plug in x = 0 and it leads to y = 0. This is because

y = (1/2)*x
y = (1/2)*0 ... x has been replaced with 0
y = 0

So the point (0,0) is on the graph of the equation.

Now plug in x = 2 and follow the same steps as above
y = (1/2)*x
y = (1/2)*2 ... replace x with 2
y = 1
So x = 2 leads to y = 1 giving us the point (2,1)

Plot the points (0,0) and (2,1). Then draw a straight line through these two points to draw the graph of the equation.

See attached for a visual.

Side Note: 1/2 = 0.5 so y = (1/2)x is the same as y = 0.5x

tammy claims that 20% is the same as 2/5 is she correct

Answers

False, 20% is 2/10, which is 1/5

hope this helps

No she is not correct. 20% is equal to 1/5 because it takes 5 20s to get to 100 so 20 is a/5. 2/5 is 40% because 2x20=40

Factor GCF (greatest common factor)

2k^2 + 7k

Answers

Simplifying 2k2 + 7k = 0 Reorder the terms: 7k + 2k2 = 0 Solving 7k + 2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(7 + 2k) = 0 Subproblem 1Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0 Subproblem 2Set the factor '(7 + 2k)' equal to zero and attempt to solve: Simplifying 7 + 2k = 0 Solving 7 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5Solutionk = {0, -3.5}

a butcher has 10 3/4 pounds of ground beef that will be process at $3.40 per pound. he divides the meat into 8 equal packages. to the nearest cent, what will be the price of each package? explain how you know that your answer is reasonable

Answers

It would equal about $4.60.

5._4 - (_.8_) = -3.61
fill in the blanks please !!

Answers

5.24 - (8.85) = -3.61

Answer:

[tex]5.24-8.85=-3.61[/tex]

Step-by-step explanation:

We have been given an equation. We are asked to fill in the blanks for the given equation.

5._4 - (_.8_) = -3.61

We will find each part separately as:

For hundredths digit:

[tex]4-?=-1[/tex]

[tex]4-4-?=-1-4[/tex]

[tex]-?=-5[/tex]

[tex]?=5[/tex]

So hundredths digit would be 5.

Tenth digit:

[tex]?-8=-6[/tex]

[tex]?-8+8=-6+8[/tex]

[tex]?=2[/tex]

Ones digit:

[tex]5-?=-3[/tex]

[tex]5-5-?=-3-5[/tex]

[tex]-?=-8[/tex]

[tex]?=8[/tex]

Substitute the values in given equation.

5.24 - (8.85) = -3.61

We can verify our answer by subtracting 8.85 from 5.24.

[tex]5.24-8.85=-3.61[/tex]

Therefore, our equation would be [tex]5.24-8.85=-3.61[/tex].

tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team. so far, in all of the tournaments he's been to, all of the players who made the all-tournament team scored an average between 27 and 32 points in the tournaments. Determine the range of points tony should score in his next game to make the all-tournaments team.

Answers

Tony's current scores are 22 and 25.
Let x = Tony's next score.

To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x = 81 - 47 = 34

To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49

Answer:
Tony should score between 34 and 49

Tony needs to score between 34 and 49 points in the next game to make the all star tournament. To figure out the range, you need to make two equations and solve for x: (22+25+x)/3=27 and (22+25+x)/3=32

What numbers is divisible by 492,570

Answers

If you still mean divisible by, then multiply that number by any whole number and you have your number. ie 492,570*2.

If you mean the factors, then let me know.

What is the value of t?

t−12/2=3t/2−3

A. –3
B. –1
C. 1
D. 3

Answers

Answer: -3

Step-by-step explanation:

(t-12)/2=(3t)/2-3

t-6=1.5t-3

t=3-6

t=-3

Hope this helps

We have that for the Question "What is the value of t?

t-12/2=3t/2 -3" it can be said that the value of t is

[tex]t=-3[/tex]

Option A

From the question we are told

What is the value of t?

t-12/2=3t/2-3

A. –3

B. –1

C. 1

D. 3

Generally the equation for the statement is mathematically given as

[tex]\frac{t-12}{2}=\frac{3t}{2}-3\\\\ Therefore\\\\\frac{t-12}{2}=\frac{3t}{2}-3\\\\Multiply through by the denominator which is 2\\\\ t-12=3t-6 \\\\ collecting like terms \\\\ t-3t= -6 +12 \\\\ therefore \\\\ t=-3 [/tex]

Therefore

the value of t is

[tex]t=-3[/tex]

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What can be answered with science?

Questions that are non-testable
Questions about things that can be measured
Questions that ask about an opinion
Questions that ask about a moral value

Answers

Question about things that can be measured.

What is the quotient for -20/-2?

Answers

the quotient is 10 :)

10 because you just do -20 divided by -2

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

Answers

3.99×10^-6 is the smallest number

what is the value of 412.321 if the underlined diget is 1 on the part .321?

Answers

The one on the part .321 is in the thousandths place

the underlined digit is the thousandths place

An internet bookseller charges $6 per paperback book plus a $3 shipping and handling fee per order. If Mr. Montoya spent $111 on books for his class, how many books did he buy?

Answers

You would add 6+3 which equals 9 and then you would divide 111/9 and you get 12.33333...
So he bought 12 books

Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long.

Answers

You have to use the formula. Its quite simple. Its a^2+b^2=c^2.

But since you are trying to find one of the legs than you would do it backwards. Since c is the hypotenuse, than youd do 10^2(which equals 100) subtracted by 8^2(which equals 64). This should give you 46. Than you would find the square root of 64 and that is your answer.

The rabbit population in a certain area is 500% of last year's population. There are 300 rabbits this year. How many were there last year? There were rabbits last year.

Answers

There was 60 rabbits last year

500% - 5.00

300 / 5 = 60

there were 60 rabbits last year

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