Zheng was curious whether △ABC and △CED are similar. He wrote a proof and came to the conclusion that they are not similar, but his proof is wrong. What is the first mistake Zheng made in the proof? Choose 1 answer:
Answers
Answer:
C
Step-by-step explanation:
Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.
In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.
It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.
Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.
Learn more about congruency at
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Related Questions
Solve the system of linear equation. 2x-5= 14
3x+2y = 40
Answers
Answer:
x=9.5, y=5.75
Step-by-step explanation:
2x-5=14, 3x+2y=40
focus on 2x-5=14 first:
2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5
Now subtitute x into the second equation and find y:
3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75
First take 2x-5=14
= 2x=14+5 ; 2x=19 ; x=19/2=9.5
Now take 3x+2y=40; We substitute the value of x with 9.5. So the equation is-
=3*9.5+2y=40 ; 2y+28.5=40 ; 2y=40-28.5=11.5 ; y=11.5/2=5.75.
Thank you and hope it helped
-2.49 = -5 + x
I'm confused lol please help
Answers
Answer:
See Below
Step-by-step explanation:
Isolate x, so add 5 to each side
-2.49 = -5 + x
+5.00 +5
3.49 = x
Answer:
x= 251/100
=2.51
How: -2.49=-5+x
+5 =+5
2.51=x
Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month. Choose the reason or reasons why Sarah would spend less money every month temporarily in order to have this fund. I. She realizes the importance of having an emergency fund. II. She wants to build up her retirement account. III.She understands that reducing expenses can increase savings. a. I b. II and III c. I and III d. II
Answers
Answer:
C. I and III
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Using words, express x< 7
Answers
Answer:
X is less than seven
Step-by-step explanation:
"<" means less than, and shows that x is less than 7
add the following a2b - ab2 + 8ab and 2a2b - ab2
Answers
Answer:
3a^2b - 2ab^2 + 8ab
Step-by-step explanation:
just add the like terms
a^b + 2a^2b - ab^2 -ab^2 + 8ab
3a^2b - 2ab^2 + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expressions are given below.
a²b - ab² + 8ab and 2a²b - ab²
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,
⇒ a²b - ab² + 8ab + 2a²b - ab²
⇒ 3a²b - 2ab² + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
More about the Algebra link is given below.
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Which statement about the expression is
true?
- 2/2 - 1/3
The product is less than -1
The product is greater than 1
The product is a positive number
The product is less than both factors.
Answers
Answer:
dccvv
Step-by-step explanation:
cdcfcf
1. Travis makes $459 for 36 hours of work, and Jack makes $535.50 for 42 hours of work.
a. How much do Travis and Jack each make per hour?
Answers
Answer:
Your answers are 12.75 an Hour for both!
Step-by-step explanation:
Really Simple!
459 Dollars / 36 Hours of Labor
= $12.75/ 1 Hour
535.5 Dollars / 42 Hours of Labor
= $12.75/ 1 Hour
can someone help me find the final answer to this im very confused
Answers
Answer:
(7√3)/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.
Tan = Opposite/Adjacent
That means ...
tan(30°) = x/7
Multiplying by 7, we have ...
x = 7·tan(30°)
x = (7√3)/3
Help me please thank
Answers
I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....
Answers
Answer:D
Step-by-step explanation:
Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?
Answers
Answer:
79
Step-by-step explanation:
the total of 90, 83, 78, 95= 346 which averages to 86.5
346+79=425
425/5= 85
Well someone deleted y other question so whats 5x5+3-4.
Answers
Answer:
24
Step-by-step explanation:
5×5 +3 - 4
25 +3 - 4
28 - 4
24
Answer:
24
Step-by-step explanation:
In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it take for him to complete 1 lap?
Answers
Answer:
0.007 hour or 25.2 seconds
Step-by-step explanation:
From the question, we are told that for Scott Dixon,he completed
500 laps in approximately = 3.5 hours. 1 lap approximately =
Cross Multiply
= 1 lap × 3.5 hours = 500 laps × a hours
a hours = 1 lap × 3.5 hours/500 laps
a hours = 0.007hours
We can convert 0.007 hours to seconds
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds
1 hour = 3600 seconds
0.007 hour =
0.007 hour × 3600 seconds
= 25.2 seconds
Therefore, it took Dixon approximately 0.007 hour or 25.2 seconds did it take for him to complete 1 lap
Mel and Rob set the alarms on their phones to sound at 6:45am.
Both alarms sound together at 6:45am
Mel’s alarm then sounds every 9 minutes.
Rob’s alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
Answers
Answer:
7:21 am
Step-by-step explanation:
9 18 27 36
12 .24 36
36 minutes later
Emma took 1/4 of a whole cake to school with her. She gave equal pieces of the pie to 5 of her friends. What fraction of the whole cake did each friend get? Include if you used multiplication, division, subtraction or addition
Answers
Answer:
I think it's 1/20. I used division
Step-by-step explanation:
Generate a number that has a digit in the hundred thousand place that is 10 times the digit in the ten thousands place.
Answers
Answer:
1000000
ten thousands place : 0
hundred thousands place : 10 x 0 = 0
!!!!PLEASE HELP!!!!! 20 points
The local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer .
Answers
Answer:
The profit is $100.56
Step-by-step explanation:
The total cost for the ice cream was 100 * 2.40 = 240
14 1/2 gallons were ruined so there were 100 -14 = 86 half gallons left
They sold these at 3.96 each
86 * 3.96 =340.56
The profit is the money made minus the cost
340.56-240 = 100.56
The profit is $100.56
You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).
Answers
Answer:
If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.
What IS the solution to 1−(13q−5)=−6
Answers
Answer:
q = 12/13
Step-by-step explanation:
Step 1: Write equation
1 - (13q - 5) = -6
Step 2: Solve for q
Distribute -1: 1 - 13q + 5 = -6
Combine like terms: 6 - 13q = -6
Subtract 6 on both sides: -13q = -12
Divide both sides by -13: q = 12/13
find the values of x and y.
Answers
Step-by-step explanation:
Hey there!!!
When you closely see in figure, we find that,
90° and (2y + 5)° are supplementary,
So, 90° + 2y +5°=180° { supplementary angle is always 180°}.
or, 2y = 180°-95°
[tex]y = \frac{85}{2} [/tex]
Therefore the measure of angle y is 42.5°.
Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).
8x - 28° = 180°
8x = 180°+28°
[tex]x = \frac{280}{8} [/tex]
Therefore the measure of angle x is 26°.
Hope it helps...
What is .33 converted to a fraction in simplest form
Answers
Answer: 33/100
Step-by-step explanation:
.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.
Points P and Q are plotted on a line.
1. Find a point
R so that a
180-degree
rotation with
center R
sends P to
Q and Q to
P
Answers
Answer:I think its p
Step-by-step explanation:
What is 867.8916 to the 1/3 power
Answers
Answer:
-867.8916
Step-by-step explanation:
1 ^3= -1×867.8916
- 867.8916
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
O 10
O 12
020
O 24
Answers
Answer:
10 sure️️️️️️️️ show to your teacher which class do you raed?
Answer:
C. 20Step-by-step explanation:
given:
exterior angle = 18°
to find the number of sides of a polygon:
the formula would be:
360 = exterior angle
n
360 = 18
n
n = 360/18
n = 20
therefore, the number of sides of a polygon is 20
Round 97.081 to the nearest tenth
Answers
Answer:
97, that's the answer.
Answer: 97.1
Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.
simplify the expression n^3 • 3n
Answers
Answer:
Step-by-step explanation:
3n x n^3 = 3n^4
Choose te correct symbol
Answers
Answer:
<
Step-by-step explanation:
Help me please please
Answers
Answer:
-2,10
Step-by-step explanation:
fjcvbd,f.jf
A group of 11 people are going to the movies one Saturday. Adult tickets cost $12.50 each and child tickets cost $7.75 each. If the total cost for admission to the movies is $109.00, how many children attended the movie?
a.) 4
b.) 5
c.) 6
d.) 7
Answers
Answer: c=6
Step-by-step explanation: $12.50 x 5 adults = $62.50. $7.75 X 6 children = $46.50. $62.50 + $46.50 = $109
-13/20 - 7/5=? Its fractions.
Answers
Answer: 41/20
Step-by-step explanation:
there is a possibility that this is incorrect bb srry