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
Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016? a. Network systems and data communications analysts b. Personal and home care aides c. Home health aides d. Personal finance advisors
Answers
Answer:
c. home health aide
Step-by-step explanation:
Answer:
its C, home health aids
Step-by-step explanation:
What is the volume of this rectangular prism?
Answers
Answer: V≈5.21 cm³
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply the length, width and height.
[tex]V=wlh[/tex]
Since we were given the length, width and height, we can directly multiply them together.
[tex]V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}[/tex] [multiply]
[tex]V=\frac{125}{24} =5.21 cm^3[/tex]
Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.
Identify ALL of the constants & coefficients of the following equation:
18 - 5W + 7w-4 = 28
Answers
Answer:
constants are 18, -4 and 28
coefficients are -5, 7
Step-by-step explanation:
constants are numbers not attached to variables
coefficients are numbers attached to variables
What is e in the equation show your work.
Answers
Answer:
e = 25/3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Which is the best estimate of
(-3/5)(17 5/6)
A. -18
B. -9
C.9
D.18
Answers
Answer:
c!
Step-by-step explanation:
have a great day! (sorry this was late!)
300,000 to nearest 100,000?
Answers
Answer:
The answer is 3
Step-by-step explanation:
100,000 times 3 equal 300,000.
hope this helps you :)
What is the solution of the equation 2/3 + 5x/3= 9 ?
Answers
Answer:
x=5
Step-by-step explanation:
multipy both sides of the equation by 3 to remove the denominator becomes
2+5x=27
subtract 2 from both sides since it's positive
5x=25
divide 5 from both sides
x=5
Please mark Brainlist!!!
Please help I'll mark brainlest
Answers
Answer:
x = 76
Step-by-step explanation:
∠ DIJ and ∠ HIJ are adjacent and supplementary, thus
∠ DIJ = 180° - 107° = 73°
The sum of the 3 angles in Δ DIJ = 180° thus
∠ DJI = 180° - (73 + 31)° = 180° 104° = 76°
∠ DJI and x are vertical angles and congruent , thus
x = 76
Answer:
x = 76
Step-by-step explanation:
x = 76
Subtract: 3 x 106 – 7.197 x 105 = WWW
Answers
Answer:
w= 7.59
Step-by-step explanation:
At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?
Answers
Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?
Answers
Answer:
5
yStep-by-step explanation:
The diameter of the base of the tree is 0.3 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.
The diameter is calculated as:-
Diameter = 24 / 80
Diameter = 0.3 meters
Hence, the diameter of the tree is 0.3 meters.
To know more about Expression follow
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For the pair of functions, find (f o g)(x) and (gof)(x).
f(x) = -2x2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
Answers
What is the domain of the given relation?
{(0, – 1), (2, - 3), (3, - 2)}
A
{0, 2, 3}
B
{ -3, - 2, - 1}
C
{ - 3, – 2,3}
D
{ - 1,0,2}
Answers
Answer:
Option (A) : {0,2,3} is the domain
(x^4−5x^3−8x^2+13x−12)÷(x−6)
Answers
Answer:
x^3+x^2-2x +1- 6/x-6
Step-by-step explanation:
Solve using polynomial division.
Hope this helps.
Answer: This problem has No solution, because you can only combine like terms which there isn't any
hope this helps
plz mark brainliest
Which of the following will result in a rational answer? Which number is not a rational number?
Answers
Answer:
what are the #
Step-by-step explanation:??
Hey, I know the correct answer is C. May someone please explain or give me an example why the answer is C.
Answers
Answer:
3ny
Step-by-step explanation:
For this problem, the price of a widget is represented by 'n' amount of dollars. Additionally, the store was stocked with 4y widgets.
To find the total cost of the widgets sold, we will use the information that at the end of the day, the store only had y widgets remaining.
From here we can say the following to represent the total cost of the widgets sold:
cost = n * (4y - y)
cost = n * (3y)
cost = n3y
You can rewrite this cost to be 3ny as in the answer choice.
Cheers.
Evaluate the expression when x=-3.
x^2+5x=-4
Answers
[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]
This is not possible, as -6 is not equal to -4.
Can someone help me solve this???
-2 ( 3x - 4 ) = 26
and pls explain
Answers
-8. -8
-6x = 18
X= -3
Answer: x = - 3
Step-by-step explanation:
Distribute the -2 into (3x - 4 ). -6x + 8 = 26Subtract 8 on both sides. - 6x = 18Divide -6 on both sides. x = -3Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.
Answers
Answer:
Perry is correct, she covered the greatest area = 18 square units.
Step-by-step explanation:
Looking at the attached diagram, the shapes are rectangular and they are on grid or graph
Note that on a graph:
1 square box = 1 unit
Area of rectangle = Length × Width
For Karina
The Width = 3 units
The length = 4 units
The area which Karina covered = 3 units × 5 units
= 15 square units
For Perry
The Width = 9 units
The length = 2 units
The area perry covered = 9 units × 2 units
= 18 square units
Therefore, Perry is correct, she covered the greatest area = 18 square units.
Factor the following polynomial completely. x²n - y²n
Answers
Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
HELPPPPPPPPPPP!!!!!!
Answers
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x
PLEASE HELP! URGENT!
Answers
What is 8.6x10to the -5 power in standard form
Answers
Answer:
0.000086
Explantion :
Just move the decimal point 5 to the left.
Enter the value 15+(-29)-15-29
Answers
Answer:
-58
Step-by-step explanation:
Answer:-58
Step-by-step explanation:
K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?
Answers
The answer is $25.5!
Is 27.14 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi. 3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.
4x+2y=8 what is the y intercept
Answers
explanation-
4x+2y=8 (you want to get y by itself, so subtract 4x)
2y=-4x+8 (now divide by 2)
y=-2x+4 so four is the y intercept
Correct me if I’m wrong please
Answers
Answer: your answers are correct
x = 10
PT = 34
Step-by-step explanation:
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4
Answers
(-6, 14) and (2, -18)
To Find:The slope of the line that passes through the point.
Slope Formula:y2 - y1 / x2 - x1
Solution:-18 - 14 / 2 + 6
= -32 / 8
= -4
Answer:Option D. -4
f(x) = x – 5x + 2 – 3x + 6
State how many complex and how many zeros the function have?