Please help! Which statement is true, about the following of the two triangles? (Refer to image)
A: ΔADC≅Δ ACB, by the SSS congruence postulate.
B: ΔADC≅ΔACB, by the SAS congruence postulate.
C: ΔADC≅ ΔCBA, by the SSS congruence postulate.
D: ΔADC≅ΔCBA, by the SAS congruence postulate.
Answers
Answer:
The answer is C because DC = BA and DA = CB (given) and AC = CA (reflexive property).
Related Questions
What is the MEDIAN of this data?
Answers
Answer:
I think the median is 7
if it is not im so sorry
The median of the data is 7.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
If the point (7,6) lies on the graph of y = (x - 5)2 + k, where k is some constant, which other point must also
lie on the same graph?
Answers
Answer:
k = -4 (0, -14) also lies on the graph
Step-by-step explanation:
6 = (7 - 2)2 + k
6 = 10 + k
-4 = k
y = (0 - 5)2 - 4, y = -14
The area of a circle is 497 squared meters.
What is the radius, in meters?
Answers
Answer: r= 12.58m
Step-by-step explanation:
100% SURE
Leila runs each lap in 6 minutes. She will run less than 9 laps today. What are the possible numbers of minutes she will run today? Use t for the number of minutes she will run today. Write your answer as an inequality solved for t.
Answers
Answer:
I'm not sure if Leila is allowed to run 0 laps.
6 ≤ t ≤ 48
Step-by-step explanation:
To find the number of possible laps, you just find the smallest possible number and the largest.
1 = smallest
8 = largest
But, you have to multiply by 6 to find the time.
6 ≤ t ≤ 48
PLEASE HELP !!
Problem:
Find P(3).
Answers:
1/6
1/8
3/6
1
Answers
Answer:
The probability of spinning a 3 out of the 6 options is 1/6.
Answer: 1/6
Step-by-step explanation:
Im assuming the p stands for probability. There is a total of 6 slices, the 3rd slice takes up 1/6th of the circle
The square of a number is 12 less than 7 times the number.what is the number?
Answers
Answer:
n = 3 or n = 4
Step-by-step explanation:
Let the unknown number be n.
Then:
n² = 7n - 12
In standard quadratic form, we have:
n² - 7n + 12 = 0
In factored form, we have:
(n - 3)(n - 4) = 0, and so
n = 3 and n = 4
Factor the following expression using the GCF. Type your factored expression below.
4xy+12w+12z
Answers
Answer:
4(xy + 3w + 3z)
Step-by-step explanation:
The GCF is 4, so you can take that out and put it in front of the parentheses. Then you just divide all of the terms by 4 (4xy / 4 = xy; 12w / 4 = 3w; 12z / 4 = 3z), etc.
p(x) is a polynomial with integer coefficients and p(-3) = 0. Which statements must be true? Choose all that apply. x - 3 is a factor of the polynomial. -3 is the constant term of the polynomial. p( x) can have at most 3 linear factors. x + 3 is a factor of the polynomial.
Answers
Answer:
yes all that apply to this q9
Please help thank you
Answers
Answer:
8000
Step-by-step explanation:
It's the only number missing from the answer to arrive at the answer itself :)
Answer:
8,000
Step-by-step explanation:
70 + x + 8 + 800,000,000 = 800,008,078 Add on the left side
800,000,078 + x = 800,008,078
-800,000,078 - 800,000,078 Subtract 800,000,078 from both sides
x = 8,000
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 38 hours and the median is 34.2 hours. Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours. Step 2 of 5 : Approximately how many families are in the sample? Round your answer to the nearest integer.
Answers
Answer:
There are approximately 171 families in the sample.
Step-by-step explanation:
Percentile meaning:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.
This means that 24 is 14% of the total number of families.
Approximately how many families are in the sample?
Using a rule of three.
24 - 0.14
x - 1
0.14x = 24
x = 24/0.14
x = 171.4
Rounding to the nearest integer
There are approximately 171 families in the sample.
Help plzzzzzzzssssss
Answers
Answer:
16
Step-by-step explanation:
There are three possible equations: the first is used for inputs (x-values) in between negative infinity and -7, the second for inputs in between -7 and 2, and the third for inputs in between 2 and infinity. 7 is in between 2 and infinity so the third equation is applicable.
[tex]g(x)=(x+1)(x-5)[/tex]
[tex]g(7)=(7+1)(7-5)[/tex] Plug in the values
[tex]g(7)=(8)(2)[/tex] Simplify
[tex]g(7)=16[/tex]
hope this helped
What is the area of the circle?
Answers
Answer:
A =50.24 in ^2
Step-by-step explanation:
The diameter is 8 inches
The radius is 1/2 diameter
r = d/2 = 8/2 = 4
The area of the circle is given by
A = pi r^2
A = 3.14 (4)^2
A =50.24 in ^2
Answer:
C. 50.24 in²
Step-by-step explanation:
d= 8 in
r= 8/2= 4 in
Area= πr²= 3.14×4²= 50.24 in²
The image point using the translation (x,) + (x+4,y-1)
for the point (3,3) is
Answers
Answer: (7, 2)
Step-by-step explanation:
(x, y) → (x + 4, y - 1)
(3, 3) → (3 + 4, 3 - 1)
= (7, 2)
Let f(x)=−9x+1. Match the function with the description.
The graph of g is a reflection in the y-axis of the graph of f.
The graph of g is a reflection in the x-axis of the graph of f.
The graph of g is a horizontal translation 16 units right of the graph of f.
The graph of g is a vertical translation 16 units down of the graph of f.
Answers
Answer:
I guess that we want to find the function g(x) for the 4 cases.
first, f(x) = -9*x + 1.
a) The graph of g is a reflection in the y-axis of the graph of f.
First remember: if we have the point (x,y) and we reflect it over the y-axis, we get (-x,y)
then g(x) = f(-x) = -9*-x + 1 = 9*x + 1.
b) The graph of g is a reflection in the x-axis of the graph of f.
if we have a point (x, y) and we reflect it over the x-axis, the point transforms into (x, -y)
then we have: g(x) = -f(x) = 9*x - 1
c) The graph of g is a horizontal translation 16 units right of the graph of f.
When we want to have a translation in the x-axis, we must change x by x - A.
If A is positive, this transformation moves the graph by A units to the right, in this case, A = 16.
g(x) = f(x - 16) = -9*(x - 16) + 1
d) The graph of g is a vertical translation 16 units down of the graph of f.
For vertical translations, if we want to move the graph by A units down (A positive) we should do y = f(x) - A
In this case, A = 16.
then: g(x) = f(x) - 16 = -9*x + 1 - 16 = -9*x - 15.
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity
gets added to the bill.
Answers
Answer:
Cost of visit = 50 + 100n
Step-by-step explanation:
$50 is the set price of the visit.
$100 is the cost per cavity.
N is the number of cavities.
Since we don't know the number of cavities, 'n' will fill that spot.
100 x n will be the total cavity cost.
Cavity cost + set price of visit will equal the total cost of the visit.
Describe the steps you would use to solve the
following inequality
2x - 3
Answers
Answer: No answer
Step-by-step explanation:
Not an inequality, inequalities are of the form 2x - 3 > something.
If it's 2x - 3 > 0 for example, then add both sides by 3 to get 2x > 3, then div by 2 to get x > 3/2.
Hope that helped,
-sirswagger21
What is the square root of x if x = 25?
Answers
Answer:
5 is your answer
Step-by-step explanation:
The [tex]\sqrt{25}[/tex] will equal to 5, because [tex]5^2[/tex] = 25
Answer:
5
Step-by-step explanation:
5 x 5 =25, so it is the square root of 25
Please help me with this question, I need it to pass the class!!
Answers
Answer:
cos(20°)
Step-by-step explanation:
The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.
The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.
sin(70°) = cos(20°)
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 41% of the cameras sold have been of the basic model. Of those buying the basic model, 31% purchase an extended warranty, whereas 48% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model
Answers
Answer:
[tex]75.6\%[/tex]
Step-by-step explanation:
Let B be the event of buying a basic model.
Given that P(B) = 41%
Let D be the event of buying a basic model.
Given that P(D) = 1 - 41% = 59%
Let E be the event of extended warranty.
Given that:
P(E [tex]\cap[/tex] B) = 31% and
P(E [tex]\cap[/tex] D) = 48%
P(E) = P(E [tex]\cap[/tex] B) [tex]\times[/tex] P(B) + P(E [tex]\cap[/tex] D) [tex]\times[/tex] P(D)
P(E) = 31% [tex]\times[/tex] 41% + 48% [tex]\times[/tex] 59% = 0.4103
To find: P(B/E)
Formula:
[tex]P(B/E) = \dfrac{P(E \cap B)}{P(E)}[/tex]
[tex]\Rightarrow \dfrac{0.31}{0.41}\\\Rightarrow 0.756\\\Rightarrow 75.6\%[/tex]
So, the correct answer is [tex]75.6\%[/tex].
Which number best represents the location of the point on the line?
X
-4.44
-T
11
3
_V17
RETRY
Answers
Answer:
- 11 over 3 Just did it on edg 2021
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (9-1(3)?
Answers
Answer:
( g − f ) ( 3 ) = 23
Step-by-step explanation:
(g-f)(x)=g(x)-f(x)
=6x-(4-X(2))
=x(2)+6x-4
to evaluate (g-f) (#) substitute x=3 into (g-f)(x)
(g-f)=(9)+(6 x 3) -4=23
The list of ordered pairs below represents a relation. {(−6,10),(−5,4),(−1,−9),(9,−4)} Find the range of the relation.
Answers
Answer:
The range is simply all the y values of the ordered pairs in the relation so the answer (in increasing order) is -9, -4, 4, 10.
please help!! Select the two reasons which fit best in lines 1 and 2 of the proof (given and details in photo)
A: 1.) Vertical Angles are congruent
2.) SSS Congruence Postulate
B: 1.) Definition of Angle Bisectors
2.) SAS Congruence Postulate
C: 1.) Vertical Angles are congruent
2.) AAS Congruence Postulate
D. 1.) Vertical Angles are congruent
2.) SAS Congruence Postulate
Answers
Answer:
D
Step-by-step explanation:
Line 1: Since these angles are vertical, they are congruent
Line 2: We have 2 sides and an angle in between them so it is SAS
This means the answer is D.
Answer: The correct answer is this set:
1.) Vertical Angles are congruent
2.) SAS Congruence Postulate
Use the following to answer questions
Employment statistics in the US are often based on two nationwide monthly surveys: the Current Population Survey (CPS) and the Current Employment Statistics (CES) survey. The CPS samples approximately 60,000 US households and collects the employment status, job type, and demographic information of each resident in the household. The CES survey samples 140,000 non-farm businesses and government agencies and collects the number of payrolls jobs, pay rates, and related information for each firm.
a. What is the population in the CPS survey?
b. What is the population in the CES survey?
Answers
Answer:
A. The population in the CPS survey are all US households.
B. The population in the CES survey are all the non-farm businesses and government agencies.
Step-by-step explanation:
A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.
In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used. The whole households in the United States thus form the population under study.
For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.
Simplify.
(8^3)7 = 8n
Answers
Answer:
448I think
Step-by-step explanation:
Answer:21
Step-by-step explanation:
Please answer this correctly without making mistakes
Answers
Answer:
746 mi^2
Step-by-step explanation:
The top rectangle has an area of
A = 22*23 =506
The bottom rectangle has an area of
A =10 *24 = 240
Add the areas together
506+ 240 =746
Answer:
746
Step-by-step explanation:
22*23= 506
24*10= 240
506+240= 746
plz mark brainliest
Write the equation 2x - 3y = 6 in slope-intercept form.
Answers
Answer:
[tex] y = \frac{ 2}{ 3} x - 2[/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.[/tex]
Answer:
y = 2/ 3 x − 2
Step-by-step explanation:
slope intercept is y=mx+b
Distribute and simplify these radicals. square root of 60
Answers
Answer:
2 sqrt(15)
Step-by-step explanation:
sqrt(60) = sqrt(4*15) = 2 sqrt(15)
Help me please and thanks
Answers
Hey there! :)
Answer:
B.
Step-by-step explanation:
To find the solution to the inequality, we can begin by solving for 'x':
2x + 1 ≥ 3
Subtract 1 from both sides:
2x ≥ 2
Divide both sides by 2:
x ≥ 1.
This means that the graph must contain all values of x greater or equal to one. The only number line that shows solutions greater than 1 is B.
The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola’s equation? A. 8 B. -8 C. -2 D. 2
Answers
Answer:
Option C is correct
Step-by-step explanation:
Given: vertex of this parabola is at (-2,-3)
To find: coefficient of the squared expression in the parabola’s equation if the x-value is -1, the y-value is -5
Solution:
The equation of parabola is of the form [tex]y=a(x-h)^2+k[/tex]
Here, a is the coefficient of the squared expression in the parabola’s equation.
Put [tex](h,k)=(-2,-3)\,,\,(x,y)=(-1,-5)[/tex]
[tex]-5=a(-1+2)^2-3\\-5+3=a(1)^2\\-2=a\\a=-2[/tex]
So, the coefficient of the squared expression in the parabola’s equation is [tex]-2[/tex]
