Answer:
This is true.
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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Find the sum of the first 16 terms in an arithmetic series where a1 = 2, and the common difference is d=2. Question 4 options: A) 272 B) 240 C) 360 D) 306
Answer:
A) 272
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]
Answer:
272
Step-by-step explanation:
solve the equation (x-2)^2/3=9
Answer:
x = 2±3sqrt(3)
Step-by-step explanation:
(x-2)^2/3=9
Multiply each side by 3
(x-2)^2/3 *3=9*3
(x-2)^2=27
Take the square root of each side
sqrt( (x-2)^2)=±sqrt(27)
x-2 = ±3sqrt(3)
Add 2 to each side
x = 2±3sqrt(3)
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
Answer:
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for
4 mm
8 mm
O 16mm?
O 32mm?
O 34 24 mm
50.24 mm?
Answer: 34.27 sq. mm.
Step-by-step explanation:
Area of a triangle = hb / 2
= 8 x 4 / 2
= 32 / 2 = 16 mm
Area of the circle = πr^2
= π x 4^2
= 50 27 sq. mm.
Area of the shaded part
= 50.27 - 16
= 34.27 sq. mm
Answer: the answer is c, 34.24 mm
Step-by-step explanation: I just did the test
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
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A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |-8| = -8 D. 0 + 8 = 8
Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Answer:
B
Step-by-step explanation:
The absolute value of a number means the distance from 0.
For example, |-2| is 2 units from 0.
|-8| = 8
-8 is 8 units from 0.
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
PLEASEEEEEE HELP ME 40 POINTS :((((((!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
Help please and thank you
Answer:
73.72 ft Squared
Step-by-step explanation:
First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...
1.) 80=3.14x2
3.14x2=6.28 80=6.28 (Then you divide 6.28 by 80)
80 80
PLEASE HELP!!!!!!! i will give brainliest
Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well
===================================================
Explanation:
P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55
Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.
The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".
We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.
Which number completes the inequality? 1.01 less-than blank less-than 1.17, less-than 1.20 1.008 1.08 1.18 1.8
Answer:
1.08
Step-by-step explanation:
1.01 < x < 1.17
x ≠ 1.20
x ≠ 1.008
x = 1.08
x ≠ 1.18
x ≠ 1.8
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
Option C is the correct answer.
We have,
To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.
Among the given options, the number that satisfies this condition is 1.08.
Thus,
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
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Which of the following is not a property of a rhombus? Question 20 options: A) Diagonals are congruent. B) Opposite angles are congruent. C) All sides are congruent. D) Diagonals are perpendicular bisectors of each other.
Answer: A
Step-by-step explanation:
This is because diagonals of a rhombus are perpendicular not congruent, ]
Pependicular means at an angle of 90°
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What is the end behavior of the function f(x)=54x2? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞
Answer:
3f(x)
3x^2
12
-x+6
0
Step-by-step explanation:
Fashoo
At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
10% of the people at the picnic are neither.
Step-by-step explanation:
To get the answer,
1/2 + 2/5 = 9/10
10/10 - 9/10 = 1/10
1/10 = 10%
Thanks, I hope I got this right!
Pls help summer homework :D C:
Answer:
C) None of the above
Step-by-step explanation:
Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
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2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
(1−cos^2 x )·(1+tan^2 x)
Answer:
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
Step-by-step explanation:
Given
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
Required
Solve
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
In trigonometry;
[tex]1 - cos^2x = sin^2x[/tex]
So, make substitution
[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]
Also; in trigonometry:
[tex]1 + tan^2x = sec^2x[/tex]
Make another substitution
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]
Recall that [tex]secx = \frac{1}{cosx}[/tex]
So;
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]
In trigonometry;
[tex]tan x = \frac{sin x}{cos x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
The expression cannot be further simplified
In one city, customers must pay 6% on all items purchased. The video game controllers cost $18.50 each. If a customer purchases 2 controllers, how much tax will she pay? A. $1.11 B. $2.22 C. $19.61 D. $39.22
Answer: B $2.22
Step-by-step explanation:
2 controllers will cost
= 2 x 18.50 = 37
6% tax = 37 x 0.06 = 2.22
Answer:
B
Step-by-step explanation:
i took the test
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
a ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
A.23
B.24
C.25
D.160
Answer:
The answer is B.
Step-by-step explanation:
There are three 20 second time periods in 1 minute. Three times eight is equal to 24.
Help will give brainliest
Answer:
70
Step-by-step explanation:
Answer:
70 fewer refrigerators than television
Step-by-step explanation:
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).