The reasons and statements that completes the two-column table method used to prove that triangle ΔRVX is congruent to ΔTWU (ΔRVX ≅ ΔTWU) are as follows;
Statement \({}\) Reason
12. UW = VX \({}\) Transitive Property of Equality
13. ΔRVX ≅ ΔTWU \({}\) SSS
What are congruent triangles?Two triangles are congruent if the lengths of the three sides of one triangle are the same as the lengths of the three sides of the other triangle.
The details and reasons for the statements used to prove the congruency of the ΔRVX and ΔTWU are as follows;
RV = RS + SV; Additive property of length
The additive property of length states that a point B can be located on a segment AC only if, we get; AC = AB + BC
RV = ST + SW Substitution
The substitution property states that if a = b then a can substitute b in equations and expressions, such that the values of the expressions and equations remain the same.
RV = TW Transitive Property of Equality
The transitive property of equality states that if a = b and b = c, then a = c
ΔRVX ≅ ΔTWU SSS
The SSS (Side-Side-Side) congruency postulate states that two triangles are congruent if the lengths of all three sides of one triangle are congruent to the lengths of the sides of the other triangle.
Learn more about the conditions for the congruency of triangles here:
https://brainly.com/question/3079413
#SPJ1
Points A,B,C arr collinear points where B is between A and C. if AB=3, BC=2. find AC.
Kyle rides his bicycle 15 mph for 2 hours how far does he travel
━━━━━━━☆☆━━━━━━━
▹ Answer
30 miles
▹ Step-by-Step Explanation
Multiply mph by hours:
15 mph * 2 hrs = 30 miles
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
WORTH 20 POINTS If mABC = 250°, what is m∠ABC?
Answer:
55 degrees
Step-by-step explanation:
I've found a similar question to this, and the explanation is there.
https://brainly.com/question/14993673
m<ABC = 360-250= 110 degrees
"As we know that the measure of angle ABC is equal to half of mADC."
110/2 = 55 degrees.
This should be the answer.
Can someone help me on this problem?
Answer:
5vertices
Step-by-step explanation:
the answers is 5,5
an experiment for which it is not possible to blind the subjects?
1.An experiment seeing if men do better in psychology than in women.
2.An experiment comparing a flu shot versus a placebo shot.
3.An experiment comparing the effect of sweet drinks on children.
4.An experiment comparing taking a vitamin supplement versus not taking a vitamin supplement.
5.An experiment comparing the results of biking a mile versus swimming a mile.
An experiment comparing the results of biking a mile versus swimming a mile. Therefore, the correct answer is option 5.
In experiments in which we want to compare results corresponding to biking a mile and swimming a mile we cannot blind the subjects...
Blinding the subject means unit on which we apply treatment does not know whether it is placebo or experimental treatment. In this scenario it is clearly visible to subject that either treatment is biking or treatment is swimming. But in case of drug experiment it is possible to make a similar treatment called as placebo, about which subject does not know whether it is real treatment or not.
Therefore, the correct answer is option 5.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ12
Find the flux of f across the surface s, where s is the part of the plane z=1 x y (oriented upward) inside the cylinder x2 y2=1, and f=j. group of answer choices 0
The flux of f across the surface s is 0.
To find the flux of f across the surface s, we can use the formula for flux:
flux = ∬(f · dS)
where f is the vector field, dS is the differential surface area vector, and the double integral is taken over the surface s.
In this case, f = j, which means the vector field is constant in the z-direction with a magnitude of 1. Therefore, the flux simplifies to:
flux = ∬(j · dS)
Now, let's calculate the flux step-by-step:
1. First, we need to parametrize the surface s. Since s is the part of the plane z=1 x y inside the cylinder x^2 + y^2 = 1, we can parametrize it as:
r(u, v) = (u, v, 1), where -1 ≤ u, v ≤ 1
2. Next, we need to find the differential surface area vector dS. Since s is a plane, the differential surface area vector is simply the cross product of the partial derivatives of r with respect to u and v:
dS = (∂r/∂u) × (∂r/∂v)
Calculating the cross product, we get:
dS = (1, 0, 0) × (0, 1, 0) = (0, 0, 1)
3. Now, let's evaluate the double integral ∬(j · dS) over the surface s. Since the magnitude of j is 1 and the dot product of j and dS is always 0, the flux is always 0.
Therefore, Flux of f across the surface s is 0.
To know more about the differential surface area visit:
https://brainly.com/question/32998017
#SPJ11
8+4=
write the answer below
Answer:
12
Step-by-step explanation:
Can someone help please this so due tonight
The fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
What is Fraction?A fraction represents a part of a whole.
1. Let's say Alexa had a total of 5x crayons in the bag.
the number of blue crayons in the bag is 2x,
There is one triangle for every two round crayons,
(1/2) × 2x = x (By condition)
So, the fraction of crayons that are blue triangle is x / 5x = 1/5.
The number of blue round crayons is 2x.
The number of non-blue crayons is 5x - 2x = 3x,
The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.
2.
4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.
The fraction of rubber footballs that are brown is 2/3.
The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.
The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.
The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.
So there are 4 times as many rubber footballs as non-rubber footballs
Hence, the fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ1
The half-life of cesium-137 is 30 years. Suppose we have a 130-mg sample.(a) Find the mass that remains after t years. y(t) = $$130·2^-(t/30)(b) How much of the sample remains after 100 years? (Round your answer to two decimal places.) (c) After how long will only 1 mg remain? (Round your answer to one decimal place.)
a. The mass remaining after t years, 130 is the initial mass, and 30 is the half-life of cesium-137.
b. About 19.35 mg of the sample will remain after 100 years.
c. After about 330 years, only 1 mg of the sample will remain
How to find decimal places?(a) The mass remaining after t years can be found using the formula:
\(y(t) = 130 * 2^(-t/30)\)
where y(t) represents the mass remaining after t years, 130 is the initial mass, and 30 is the half-life of cesium-137.
(b) To find how much of the sample remains after 100 years, we can substitute t = 100 into the formula:
\(y(100) = 130 * 2^(-100/30) = 19.35 mg\)
Therefore, about 19.35 mg of the sample will remain after 100 years.
(c) We need to solve the equation y(t) = 1 for t. Substituting y(t) and solving for t, we get:
\(1 = 130 * 2^(-t/30)\)
\(2^(-t/30) = 1/130\)
\(-t/30 = log2(1/130)\)
\(t = -30 * log2(1/130) = 330 years\)
Therefore, after about 330 years, only 1 mg of the sample will remain.
To know more about initial mass :
https://brainly.com/question/24472946
#SPJ1
a) The decay of cesium-137 can be modeled by the function \(y(t) = 130 * 2^{(-t/30)\)
b) after 100 years, only about 31.57 mg of the sample remains.
c) after about 207.1 years, only 1 mg of the sample will remain.
(a) The decay of cesium-137 can be modeled by the function \(y(t) = 130 * 2^{(-t/30)\), where t is the time in years and y(t) is the remaining mass of the sample in milligrams.
To find the mass that remains after t years, we simply plug in the value of t into the function:
\(y(t) = 130 * 2^{(-t/30)\)
(b) To find the amount of the sample that remains after 100 years, we plug in t = 100:
\(y(100) = 130 * 2^{(-100/30)\) ≈ 31.57 mg
So after 100 years, only about 31.57 mg of the sample remains.
(c) To find the time it takes for only 1 mg to remain, we set y(t) = 1 and solve for t:
\(1 = 130 * 2^{(-t/30)}\\\\2^{(-t/30)} = 1/130\)
Taking the natural logarithm of both sides, we get:
\(ln(2^{(-t/30)}) = ln(1/130)\)
Using the logarithmic identity \(ln(a^b) = b * ln(a)\), we can simplify the left side:
(-t/30) * ln(2) = ln(1/130)
Solving for t, we get:
t = -30 * ln(1/130) / ln(2) ≈ 207.1 years
So after about 207.1 years, only 1 mg of the sample will remain.
To know more about half-life :
https://brainly.com/question/9654500
#SPJ1
Tìm giá trị lớn nhất,nhỏ nhất của A = sqrt(x - 4) + sqrt(10 - x)
The ratio of Cheko's books to Miko's books is 5 : 12. Miko has 48 books. How many books must Miko give to Cheko so that both will have the same number of books?
Answer:
Step-by-step explanation:
Cheko's books (C) to Miko's books (M) is 5 : 12
C/M = 5/12
C = (5/12)M
We know M=48, so:
C = (5/12)(48)
C = 5*(48/12)
C = 5*4
C = 20 [Cheko has 20 books]
We want M=C, so Miko must give Cheko x number of books so that C/M is (1/1) or 1.
C/M is currently 20/48
We want C/M = (20+x)/(48-x) = 1
(20+x)/(48-x) = 1
(20+x) = (48-x)
2x = 28
x = 14
Once Miko gives Cheko 14 books, they each have the same number: (48-14)/(20+14) = 34/34. Everyone's happy. [We don't know WHICH books Miko chose to give to Cheko. Rumor is all 14 were math books]
select Rational or irrational for each number
Answer:
??????.
Step-by-step explanation:
????????????????
Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)
Angle ABC has a measure of 102. What would be the measure of an angle that is supplementary to ABC?
Answer:
78
Step-by-step explanation:
If it is supplementary then they add up to 180, so you do 180-102 which equals 78. I hope this helps
drew has $ 18. this is $6 more than liam has. how many dollars does liam have
Answer:
Liam has $12.
Step-by-step explanation:
Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.
18-6=12
Hence, Liam has $12.
Please let me know if this helped! If it did, please mark brainliest! If you have any more questions, please let me know! Have a splendid day!!! <3
The F ratio increases as _________. Group of answer choices the variability between means increases relative to the variability within groups the variability within groups remains the same the total variability decreases the total variability increases the variability between means decreases relative to the variability within groups
Answer:
The F-Ratio increases as, the variability between means increases relative to the variability within groups
Step-by-step explanation:
The F-Ratio is given as follows;
\(F-Ratio = \dfrac{MS_{between}}{MS_{within}}\)
Where;
\(MS_{between}\) = The variance between groups
\(MS_{within}\) = The variance within groups
Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups
What’s 5x-2=25x+14? (please explain)
Answer:
x = - \(\frac{4}{5}\)
Step-by-step explanation:
Given
5x - 2 = 25x + 14 ( subtract 25x from both sides )
- 20x - 2 = 14 ( add 2 to both sides )
- 20x = 16 ( divide both sides by - 20 )
x = \(\frac{16}{-20}\) = - \(\frac{4}{5}\)
Solve the following LP model using graphical method: Maximize Z=x−2y
s.t.
x−y≥0
x+2y≤4
x≥0
y≥−1
The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.
Step 1: Graph the Constraints
We start by graphing each constraint individually on a coordinate plane.
The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.
The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.
The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.
Step 2: Identify the Feasible Region
The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.
Step 3: Identify the Optimal Solution
To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.
By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.
Step 4: Determine the Optimal Solution
By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.
Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.
Learn more about function here:
https://brainly.com/question/30721594
#SPJ11
144kg in the ratio 1:3:5
△EFG has coordinates E(–2, –4), F(–8, 0), and G(–5, 3).
What are the coordinates of the vertices of the image after a reflection in the y-axis?
Answer:
E(2,-4), F(8,0), and G(5,3).
Step-by-step explanation:
Reflection in the y-axis means the signs of the x-coordinates should be flipped.
Answer:
Answer A
Step-by-step explanation:
I know that you already have the answer, but I wanted to show you a picture.
If f(x) = |x|+ 9 and g(x) = -6, which describes the value of (f + g)(x)?
O (f+g)(x) > 3 for all values of x
O (f+ g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) > 6 for all values of x
Answer:
(f+g)(x) > 3 for all values of x
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answer:
A or C Sorry!
Step-by-step explanation:
I need three examples on how math is used in psychology.
Answer: 1) Error response times
2) Memory Scanning, visual search
3) Stimulus identification
Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response
2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring
3) A decisive role in our perception and cognition
In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.
In an instruction like: z = x + y, the symbols x, y, and z are examples of _____.
a. output
b. visibles
c. variables
d. instructions
The symbols x, y, and z are examples of variables in an instruction like z = x + y.
A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.
A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.
Learn more about variables
https://brainly.com/question/15078630
#SPJ11
what is the significant figures for 0.045325
Answer:
There are 5 significant digits in 0.045325 and they are 4, 5, 3, 2, and 5.
Step-by-step explanation:
Significant digits rules:
All non-zero numbers count as significant digitsLeading zeroes (zeroes in front of any non-zero numbers) are never significant digitsZeroes in-between non-zero numbers count as a significant digitsTrailing zeroes (zeroes after all non-zero numbers) count only if there is a decimalIn 0.045325, the two zeroes are leading zeroes and therefore do not count. The rest of the digits, (4, 5, 3, 2, and 5) are all non-zero and therefore count. Thus, there are 5 significant digits in 0.045325.
The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
Answer:
Student tickets sold 66
Adult tickets sold 34
Step-by-step explanation:
x=6. y=11
x+y=100. Multiply by -6
6x+11y=770 Then combine terms
5y=170 Divide 5 on both sides
y=34 Then do 100-34
x=66
This is the solution for the club to not earn anything but able to cover the fees.
The inequality form can be written as,
total revenue=66x+34y in this case total revenue=0
If ABCD is dilated by a factor of 2 the coordinate of b would be? Will mark barinlyist.
Answer:
B'(- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )
i rlly need help with this somebody i will give brainlist
Answer:
the answer is 10
Step-by-step explanation:
I just puted value and calculated it's simple
10 Plz Help Cube Measuring Volume!
Answer:
The last choice
Step-by-step explanation:
a) Expand and simplify (4x + 3)(2x - 5)
(2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4
Answer:
a. \(8x^{2} -14x-15\)
b. \((x+3)(x+2)\)
Step-by-step explanation:
A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)
For F, take the first terms of the 2 and multiply
\(4x*2x=8x^{2}\)
For O, take the outer terms and multiply
\(4x*-5=-20x\)
For I, take the inner terms and multiply
\(3*2x=6x\)
For L, take the last terms and multiply
\(3*-5=-15\)
After that, add all of them up
\(8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15\)
B. Since the equation is in the form x^2+bx+c,
\((x+?)(x+?)\)
Now we need to find 2 numbers that will add up to 5 and multiply to 6.
Here are some of the combinations of numbers that multiply to 6
3*2
1*6
-3*-2
-1*-6
3 and 2 add up to 5 so:
\((x+3)(x+2)\)