Given that CD is the perpendicular bisector of AB, which of the following statements can be used to show that AC=BC?
Answers
Answer:
B. ΔAXC ≅ ΔBXC by SSS, so AC ≅ BC because they are corresponding parts of congruent triangles.
Step-by-step explanation:
From the given diagram, XC is common to ΔAXC and ΔBXC.
And it can be observed that CD divides AB into two equal length segments.
Thus,
AX ≅ BX (bisection property of a line)
AC ≅ BC (congruence property of triangles)
Therefore, the congruence relationship between triangles ΔAXC and ΔBXC would be, Side-Side-Side (SSS) so as to show that AC ≅ BC.
Related Questions
Can someone answer all three for me ols
Answers
Answer:
ok here the answer mate
Step-by-step explanation:
13. is A you have to do is divide the mass value by 16
14.D all you have to do divide the length value by 12 and make evrything behind the decamil to inches.
15. D all you have to do is multiply the volume value by 1000
Brainlyest pls
3. For the polynomial g(x) = x^4 - 8x^3 + 23^2 - 26x + 10, you are told that the zeros include x=1, x = -3 + i, and x = 3+i.
Explain how you know this list is incorrect. Then you are told that two of the given zeros are correct, with one of them having a multiplicity of 2. Use this information to determine all zeros of g(x). Be sure to show and explain all steps.
Answers
Step-by-step explanation:
If the polynomial has complex roots, the conjugates of those complex roots must also be part of the zeroes.
Therefore x = -3 - i and x = 3 - i are also zeroes of g(x). However this means that g(x) has 5 solutions when the degree of g(x) is 4. This is impossible, and hence the list is incorrect.
If either of the complex roots (x = -3 + i or x = 3 + i) had a multiplicity of 2, their conjugates will also have a multiplicity of 2, which is impossible as discussed previously.
Therefore x = 1 has a multiplicity of 2.
We have
x⁴ - 8x³ + 23x² - 26x + 10 = (x - 1)²(Ax² + Bx + C).
= (x² - 2x + 1)(Ax² + Bx + C)
= Ax⁴ + (B - 2A)x³ + (A + C - 2B)x² + (B - 2C)x + C
By Comparing Coefficients,
A = 1,
B - 2A = -8,
A + C - 2B = 23,
B - 2C = -26,
C = 10
Solving them we get A = 1, B = -6 and C = 10.
Hence x⁴ - 8x³ + 23x² - 26x + 10
= (x - 1)²(x² - 6x + 10).
Using the Quadratic Formula on x² - 6x + 10,
we find that the correct complex roots are
x = 3 + i and x = 3 - i.
Hence,
the zeroes of g(x) are x = 1, x = 3 + i and x = 3 - i.
solve equation:
2x-26=0
Answers
Answer:
x = 13
Step-by-step explanation:
You want to solve for x, so move anything not including x to the other side of the equal sign. In this problem, you want to add 26 to zero to move it.
Now your equation will look like 2x = 26
Divide both sides by 2 to solve for x
x = 13
Let me know if you are still confused!
Is this ordered pair a solution of the equation?
-2x + y = 4 ( 2 , 7 )
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Answer:
The answer is no
Ceri has gained weight.
She now weighs 55 kg, which is 10% higher than her normal weight.
What is Ceri's normal weight?
Answers
Answer:
I believe her weight is 80kg
Step-by-step explanation:
Ceri normal weight is 50 Kg.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Present Weight = 55 Kg, which is 10% higher than her normal weight.
let her normal weight be x.
So, x+ 10% of x = 55
x+ 1/10 x = 55
11x /10 = 55
11x= 550
x= 50
Hence, Ceri normal weight is 50 Kg.
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help asap please??????
Answers
Answer:
5x-16=4x+34
-4x -4x
1x-16=34
+16 +16
1x=50
x=50
What is the area of this figure? Enter your answer in the box.
Answers
Answer:
81 square meters
Step-by-step explanation:
So you can split this figure into one parallelogram (on the bottom) and one triangle (on the top). Find the area of each and then add them together.
The area of a parallelogram is always just length * width, so in this case that would be 9 * 5 = 45 square meters.
Next, the area of a triangle is base * height / 2, so before you can solve you have to find the length of the base.
Going back to the parallelogram, the sides opposite each other are always equal, meaning that if the bottom has a length of 9, the top also has a length of 9.
This means that the top of the parallelogram, which is also the base of the triangle, has a length of 9 m. Now, plug those numbers into the formula for area of a triangle, so:
9 * 8 / 2 = 72 / 2 = 36 square m.
The last step is to add the two areas together:
45 + 36 = 81 square meters.
Is a measure of 27 inches "far away from a mean of 15 inches? As someone with knowledge of statistics, you answer it depends and request the standard deviation of the underlying data.
(a) Suppose the data come from a sample whose standard deviation is 3 inches. How many standard deviations is 27 inches from 15 inches?
(b) is 27 inches far away from a mean of 15 inches?
(c) Suppose the standard deviation of the underlying data is 7 inches. Is 27 inches far away from a mean of 15 inches?
(a) 27 inches is standard ____ deviation(s) away from 15 inches.
(Type an integer or decimal rounded to one decimal place as needed.)
Answers
somebody start a conversation w me and ill mark brainliest
Answers
Answer:
wanna be friends
Step-by-step explanation:
Please help if you can
Answers
Answer:
J=130
Step-by-step explanation:
180-90-40=50
180-50=130
Select the number that would make this statement true: 719.3 ÷ ________ = 7.193
1
10
100
1,000
Answers
When you divided by 100 is should be 7.193
Find a sum equivalent to 10(y + x)
Answers
Answer: 10x + 10y
8)
Step-by-step explanation:
Gustav is starting a special sprinting regimen in outdoor track. The regimen suggests sprinting for a certain number of seconds, sss, at first. The second time he sprints, he should run 150 more seconds than the first time. For the third time, the regimen suggests sprinting twice the number of seconds as the first time. Finally, the regimen suggests an 80-second sprint. Which of the following functions can be used to find the total number of seconds, t, suggested by the entire sprinting regimen?
a. t=s+230
b. t=2s+230
c. t=5/2s+230
d. t=4s+230
Answers
Answer: d. t = 4s + 230
Step-by-step explanation: In the first part of his regimen, Gustav sprints for a time of s seconds:
part 1: t₁ = s
In the second part, time is 150 more seconds than first part:
part 2: t₂ = s + 150
In part 3, time is twice the number as the first time:
part 3: t₃ = 2s
And in the last part, the regimen is of an 80 second sprint:
part 4: t₄ = 80
Th entire regimen has a total of seconds equal to
[tex]t=t_{1}+t_{2}+t_{3}+t_{4}[/tex]
t = s + s + 150 + 2s = 80
t = 4s + 230
The function which represents the total number of seconds suggest by the entire regimen is t = 4s + 230
Need help ASAP due in 7 minutes
Will make you brainlist
Answers
Answer:
A
Step-by-step explanation:
A is the only answer with ordered pairs that have a consistent rate of change, -1/3
If 3 builders can build 15 dog house in a day how many could 5 builders mak
Answers
Answer:
25
Step-by-step explanation:
First I would divide 15 by 3 which would get me 5 then i would multiply it by 5 to get the answer of 25.
Write a polynomial function of least degree with the given zeros.
4,-4, 3i
Answers
Answer:
gsuwjcz veg eg get due date calculator for y andre sullu will
Liliana read two books in three months. What was her rate of reading, in books per month? Give your answer as a whole number or a fraction in simplest form
Answers
Answer:
two thirds
Step-by-step explanation:
2/3
What kind of checking accounts does Chase Bank offer
Answers
[16 pts please help]
DRAG THE TILES
Fran, Robert, and Becky all got summer jobs. Fran earned $140 for 20 hours of work, Robert earned $150 for 25 hours of work, and Becky earned $120 for 15 hours of work.
Sequence the three workers in order from least amount of money earned per hour to greatest amount of money earned per hour.
Fran
Robert
Becky
Answers
Answer:
Becky, Fran, Robert
Step-by-step explanation:
Fran: 140 ÷ 20 = 7
Robert: 150 ÷ 25 = 6
Becky: 120 ÷ 15 = 8
$2.79 markdown 35% what is the answer?
Answers
Answer:
about 1.81
Step-by-step explanation:
Answer:
1.81?
Step-by-step explanation:
What is the greatest common factor of 30x^2 and 24x? Enter your response on the line below. Do not use any spaces or words.
Answers
Answer:
The Greatest Common Factor (GCF) of 30x² and 24x is 6x.
Step-by-step explanation:
30x² = 6x × 5x 24x = 6x × 4Hence, the greatest common factor is [tex]6x[/tex].
What is a Greatest Common Factor?the greatest common factor or greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
How To Solve?
The Prime Factorization of [tex]30x^2[/tex] and [tex]24x[/tex] respectively is :
[tex]30x^2=2*3*5*x*x[/tex] ....................(1)
[tex]24x=2*2*2*3*x[/tex] .....................(2)
Common factors in (1) and (2) are
[tex]2*3*x[/tex][tex]=6x[/tex]
Hence , the greatest common factor of [tex]30x^2[/tex] and [tex]24x[/tex] is [tex]6x[/tex].
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The diameter of a circular cd is 120 mm which of the following is closest to the circumference of a cd in millimeters
Answers
Answer:
120 pi mm or 376.99 mm
Step-by-step explanation:
circumference is 2r pi or pi d. So you know the diameter is 120. You can plug 120 into the equation and get 120 pi which can equal to 376.99.
y=3/4x-1/2 in a graph
Answers
Answer:
Look at the graph below, hope this helped :)
Step-by-step explanation:
C = V + 13
The variable v represents the number of visits to the history museum, and the variable c
represents the total cost of those visits. What is the maximum number of visits a member of
the history museum can make for a total cost of $19?
Answers
Pls help extra points and mark brainlist
Answers
Answer:
tina has 6 and Juan has 9
Step-by-step explanation:
4+2=6 and 6+3=9
16x – 8= 14x + 10
What’s x and why
Answers
Answer:
I got 9
Step-by-step explanation:
I did subtraction and then added and then divided by 16x on both sides
the scale drawing of a park uses the scale 5 cm= 1 km. what is the perimeter of the actual park?
Answers
Answer:5.0 × 10-5
Step-by-step explanation:
5 cm divided by 1 km
I need help on question four just that one please ASAP! please and thank you! Hope you have a wonderful day and blessed one!
Answers
Answer:
the answer to your question is C: 9.675
Pls hurry I need an answer!!!
Answers
Answer:
133 degrees
Step-by-step explanation:
if FBE is 47 degrees and is identical to angle CBD, then we can consider
EBD as 180 degrees first and subtract 47 degrees, which is 133 degrees, that is how I got my answer.
hope it helped in any way.
Use the graph to determine the function's domain and range.
10
8-
6
-10-8-6
4
2
00
41
-6-
101
Find the domain and range
Answers
Answer:
get to know if u want me to come back to now 5ah I love you too baby
